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1 INTRODUCTION

The following is a short post on predicting small-strain stiffness properties from CPTU measurements by ensembling several machine learning (ML) models. More specifically, we are going to predict the value of the shear modulus at small strain, Gmax. The basic workflow can be summarized in these steps:

  • read, explore and prepare the data;
  • train several models using measurements of Gmax values derived from SCPT tests;
  • combine the output of these models to generate an ensembled model;
  • use the final ensembled model to generate Gmax values from all other CPTU measurements.

Here I will use open-source data from the HKN offshore wind farm in the Netherlands, which are provided from the RVO WEBSITE 👏👏👏

It is important to emphasize that this is mainly a demonstrative blog post, meaning that I am not doing very technically-strict analyses here. Although I am going to work on various aspects on geotechnical site assessment, those topics won’t be treated in detail, and often, simplified approaches or existing analyses will be used. I will try to be careful to emphasize the points where these “shortcuts” are adopted.

2 SETUP

The analysis is done using the R programming language. All the code is incorporated in the writing, so it’s clear which code chunk produces each piece of the output. Code parts are put in dark squares, to make it easy to separate them from the general text and the graphics. If you are not familiar with R, chances are that you can still follow along with the code, since the used syntax is relatively easy. For any questions/remarks you can also of course contact me here.

2.1 Libraries

The first step is to load few packages that will make life easier for us, since they facilitate a lot of stuff. We don’t strictly need all these packages but few of them are used just for aesthetic purposes. I have also loaded some fonts from Google Fonts, mainly to make our plots and text look prettier.

# libraries
library(tidyverse)
library(tidymodels)
library(stacks)
library(vroom)
library(readxl)
library(showtext)
library(slider)
library(bslib)
library(ggforce)
library(ggtext)
library(thematic)
library(kableExtra)
library(patchwork)
library(paletteer)

# fonts
font_add_google("Fira Code", "Fira Code")
showtext_auto()

Besides the code shown here, I’ll also make use of few source files and functions which include some relatively long code to read and format AGS 4.0 files, to create plotting themes, etc. I excluded those from this post since it’s already a long one.

2.2 Functions and helpers

Here, some functions and properties we are going to use through the analysis.

Colors to be used:

# color preview functions
color_preview_dep <- 
  function() {
  htmltools::htmlDependency(
    name = "color_preview",
    version = "0.0.1",
    src = ".",
    all_files = FALSE,
    head = "
<style>.color-preview {
  display: inline-block;
  width: 1em;
  height: 1em;
  border-radius: 50%;
  margin: 0 0.33em;
  vertical-align: middle;
  transition: transform 100ms ease-in-out;
}

.color-preview:hover {
  cursor: pointer;
  transform: scale(2);
  transform-origin: 50% 50%;
}</style>"
  )
}

color_preview <- 
  function(color) {
  htmltools::tagList(
    htmltools::span(
      class = "color-preview",
      style = paste("background-color:", color),
      .noWS = "outside"
    ),
    htmltools::code(color, .noWS = "outside"),
    color_preview_dep()
  )
}
# colors
col_r <- "#ef476f"
col_y <- "#ffd166"
col_g <- "#06d6a0"
col_b <- "#118ab2"

colors <- c(
  "#ef476f",
  "#ffd166",
  "#06d6a0",
  "#118ab2"
)

items_color <- 
  lapply(colors, function(color) {
  htmltools::tags$li(color_preview(color))
})
htmltools::tags$ul(items_color)
  • #ef476f
  • #ffd166
  • #06d6a0
  • #118ab2
# grays
gray_1 <- "#2F2F2FFF"
gray_2 <- "#474747FF"
gray_3 <- "#DFDFDFFF"
gray_4 <- "#F7F7F7FF"

grays <- c(
  "#2F2F2FFF",
  "#474747FF",
  "#DFDFDFFF",
  "#F7F7F7FF"
)

items_gray <- 
  lapply(grays, function(color) {
  htmltools::tags$li(color_preview(color))
})
htmltools::tags$ul(items_gray)
  • #2F2F2FFF
  • #474747FF
  • #DFDFDFFF
  • #F7F7F7FF

Function to create and style tables:

# table function
func_tbl <- 
  function(dataframe){
  kable(dataframe, align = "r") %>%
  kable_styling(fixed_thead = T,
                html_font = ("JetBrains Mono"),
                font_size = 12,
                bootstrap_options = "condensed") %>%
  row_spec(0, background = gray_3) %>%
  scroll_box(height = "350px")
}

Theme and details for graphics:

# update default theme
ggtheme <-
  theme_light() +
  theme(
    text = element_text(family = "Fira Code", size = 8.25, color = gray_1),
    plot.title = element_text(face = "bold", size = 8.25, hjust = 0.5),
    axis.title = element_text(face = "bold", size = 8.25),
    axis.text = element_text( size = 8.25, color = gray_2),
    panel.grid.major = element_line(color = gray_3, size = 0.25),
    panel.grid.minor = element_blank(),
    axis.ticks = element_line(color = gray_2, size = 0.25),
    axis.ticks.length = unit(.25, "cm"),
    panel.border = element_rect(color = gray_2, size = 0.25),
    strip.text = element_text(family = "Fira Code", size = 8.25, color = gray_1),
    legend.background = element_blank(),
    plot.background = element_blank(),
    panel.background = element_blank(),
    strip.background = element_blank(),
    legend.key = element_blank(),
    plot.margin = margin(t = 5, r = 10, b = 5, l = 10)
  )

# set theme
theme_set(ggtheme)

# details for annotations
annotation_fill <- gray_4
annotation_color <- gray_2
annotation_label.color <- NA
annotation_family <- "Fira Code"
annotation_size <- unit(2.75, "pt")
annotation_hjust <- 0.5
annotation_vjust <- 0.5
annotation_label.padding <- unit(2, "pt")
annotation_label.r <- unit(0, "pt")
annotation_fontface <- "bold"

3 DATA

As mentioned, I am using data from the HKN offshore wind farm. The data is provided in few different formats (AGS 4.0, XLSX, etc), so we are going to read and analyze the relevant data separately and them merge/filter them, as we create the right setup for training our ML models.

3.1 Locations

3.1.1 Read locations data

It’s important to initially have a general view of the site. For this, we would need the locations of all in-situ tests performed. This data can be extracted from the set of AGS 4.0 files, listed below.

# list of source files
list_AGS <- list.files(pattern = ".ags")
func_tbl(as_tibble_col(list_AGS, column_name = "AGS file name"))
AGS file name
HKN_20190221_FNLM_AGS4.0_V04_F.ags
HKN_20190306_FNLM_HKN02-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN04-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN06-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN10-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN11-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN14-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN19-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN21-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN25-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN26-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN27-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN28-BH-SC_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN31-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN33-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN34-BH-CP_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN36-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN37-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN39-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN41-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN44-BH-CP_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN46-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN47-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN47A-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN48A-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN51-BH-CP_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN52-BH-CP_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN56-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN58-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN60-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN65-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN67-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN70-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN72A-BH-SA_CPT_AGS4.0_V05_F.ags
HKN_20190306_FNLM_HKN75-BH-SA_CPT_AGS4.0_V05_F.ags


All seabed CPTU tests data are included in one file (the first row in the above table), while down-hole CPTUs are in separated files, one for each location. OSS data are not included here. I have previously downloaded the data locally, saved in my PC and read all AGS 4.0 files and converted them into one tabular CSV file.

It has to be noted that, a distinction is made between location and test point. This is because several tests may have been run on essentially the same location, but considering that they don’t exactly overlap and that they represent different tests, a distinction is made. Basically, the same location may include more than one test points. E.g. location HKN01 includes 4 test points: HKN02-BH-SA, HKN02-PCPT, HKN02-SCPT-A, and HKN02-TCPT.

Here we read the locations data and differentiate between various test types. In few locations we have duplicated tests of the same type, so (arbitrarily) we keep the deepest of these tests.

# read location data
data_loc <-
  vroom("locations.csv") %>%
  select(c(LOCA_ID, LOCA_NATE, LOCA_NATN, LOCA_FDEP, LOCA_WDEP)) %>%
  mutate(across(LOCA_ID, as.factor)) %>%
  # pull out type of test and location
  mutate(
    TYPE = case_when(
      str_detect(LOCA_ID, "PCPT") ~ "PCPT",
      str_detect(LOCA_ID, "TCPT") ~ "TCPT",
      str_detect(LOCA_ID, "SCPT") ~ "SCPT",
      str_detect(LOCA_ID, "BH") ~ "BH"
    )
  ) %>%
  mutate(LOCATION = stringr::str_extract(LOCA_ID, "HKN..")) %>%
  # filter max depth for duplicated test points
  group_by(LOCA_ID) %>%
  filter(LOCA_FDEP == max(LOCA_FDEP)) %>%
  ungroup() %>%
  mutate(LOCA_NR = stringr::str_remove(LOCATION, "HKN")) %>%
  mutate(across(is.character, as.factor))

# table
func_tbl(data_loc)
LOCA_ID LOCA_NATE LOCA_NATN LOCA_FDEP LOCA_WDEP TYPE LOCATION LOCA_NR
HKN01-PCPT 589266.1 5852097 41.03 23.70 PCPT HKN01 01
HKN02-PCPT 589320.9 5850857 52.89 23.50 PCPT HKN02 02
HKN02-SCPT-A 589317.8 5850855 23.50 23.70 SCPT HKN02 02
HKN02-TCPT 589324.6 5850857 5.97 23.70 TCPT HKN02 02
HKN03-PCPT 587546.7 5850495 33.21 25.20 PCPT HKN03 03
HKN04-PCPT 586988.3 5849090 18.50 25.00 PCPT HKN04 04
HKN04-PCPT-A 586988.4 5849092 18.94 25.10 PCPT HKN04 04
HKN05-PCPT 588400.8 5849077 32.67 23.00 PCPT HKN05 05
HKN06-PCPT 590393.5 5849497 22.51 21.40 PCPT HKN06 06
HKN06-SCPT 590391.3 5849500 23.09 21.30 SCPT HKN06 06
HKN06-TCPT 590393.1 5849501 5.97 21.30 TCPT HKN06 06
HKN07-PCPT 591558.3 5848353 44.73 23.00 PCPT HKN07 07
HKN08-PCPT 592124.0 5847063 28.18 22.00 PCPT HKN08 08
HKN09-PCPT 589610.5 5847514 33.02 22.10 PCPT HKN09 09
HKN09-TCPT 589606.7 5847511 6.53 22.10 TCPT HKN09 09
HKN10-PCPT 587928.1 5848180 44.23 23.80 PCPT HKN10 10
HKN10-SCPT 587928.1 5848176 43.68 24.10 SCPT HKN10 10
HKN10-TCPT 587932.3 5848180 5.99 24.20 TCPT HKN10 10
HKN11-PCPT 586917.6 5847496 12.04 25.60 PCPT HKN11 11
HKN12-PCPT-A 584914.5 5846530 45.08 25.30 PCPT HKN12 12
HKN13-PCPT 587495.9 5846196 39.11 24.80 PCPT HKN13 13
HKN14-PCPT 587313.2 5845739 28.57 24.40 PCPT HKN14 14
HKN14-SCPT 587308.7 5845739 15.81 24.10 SCPT HKN14 14
HKN14-SCPT-A 587310.8 5845737 28.02 24.10 SCPT HKN14 14
HKN15-PCPT 588787.0 5846757 43.59 22.40 PCPT HKN15 15
HKN16-PCPT 590165.7 5846221 30.48 21.80 PCPT HKN16 16
HKN17-PCPT 590919.5 5845387 25.67 23.30 PCPT HKN17 17
HKN18-PCPT 589798.3 5845280 48.72 25.40 PCPT HKN18 18
HKN19-PCPT 588689.5 5845196 14.76 23.40 PCPT HKN19 19
HKN20-PCPT 585526.3 5845374 52.22 24.00 PCPT HKN20 20
HKN21-PCPT-B 583776.0 5845001 52.97 22.60 PCPT HKN21 21
HKN21-SCPT 583770.3 5845001 31.63 22.90 SCPT HKN21 21
HKN21-SCPT-A 583772.9 5844999 52.89 23.00 SCPT HKN21 21
HKN21-TCPT 583773.8 5845005 5.94 23.10 TCPT HKN21 21
HKN22-PCPT 582759.3 5843771 9.07 22.70 PCPT HKN22 22
HKN22-PCPT-A 582763.3 5843773 36.06 22.50 PCPT HKN22 22
HKN23-PCPT 584972.3 5843963 2.11 24.20 PCPT HKN23 23
HKN23-PCPT-A 584972.3 5843965 43.60 24.10 PCPT HKN23 23
HKN24-PCPT 586107.4 5844073 10.05 24.80 PCPT HKN24 24
HKN24-PCPT-A 586107.1 5844078 47.54 24.70 PCPT HKN24 24
HKN25-PCPT 585269.1 5843312 47.44 23.60 PCPT HKN25 25
HKN25-SCPT 585270.4 5843310 37.18 23.70 SCPT HKN25 25
HKN25-TCPT 585272.9 5843313 6.39 23.70 TCPT HKN25 25
HKN26-PCPT 587685.3 5843979 41.08 23.70 PCPT HKN26 26
HKN26-SCPT 587681.8 5843981 22.59 23.80 SCPT HKN26 26
HKN26-TCPT 587683.3 5843975 6.01 23.80 TCPT HKN26 26
HKN27-PCPT 589912.6 5844169 45.47 25.40 PCPT HKN27 27
HKN27-SCPT 589910.9 5844173 23.07 25.50 SCPT HKN27 27
HKN27-TCPT 589909.3 5844169 4.37 25.40 TCPT HKN27 27
HKN28-PCPT 590817.6 5844393 29.12 24.50 PCPT HKN28 28
HKN29-PCPT 590868.9 5843641 39.36 22.90 PCPT HKN29 29
HKN30-PCPT 591478.0 5843016 17.41 20.30 PCPT HKN30 30
HKN30-PCPT-A 591481.6 5843016 47.98 20.20 PCPT HKN30 30
HKN31-PCPT 591397.8 5842510 18.34 20.20 PCPT HKN31 31
HKN31-SCPT 591396.7 5842506 17.31 20.30 SCPT HKN31 31
HKN31-TCPT 591394.6 5842509 7.48 20.40 TCPT HKN31 31
HKN32-PCPT 590109.9 5841939 6.76 21.90 PCPT HKN32 32
HKN32-PCPT-A 590106.6 5841938 25.00 21.80 PCPT HKN32 32
HKN33-PCPT 589166.2 5842307 52.94 22.70 PCPT HKN33 33
HKN34-PCPT 586763.2 5841667 52.76 24.40 PCPT HKN34 34
HKN35-PCPT 586021.2 5842484 46.81 22.50 PCPT HKN35 35
HKN36-PCPT 585535.8 5841239 44.60 23.20 PCPT HKN36 36
HKN36-SCPT 585540.2 5841240 22.00 23.60 SCPT HKN36 36
HKN36-TCPT 585534.8 5841243 5.98 23.40 TCPT HKN36 36
HKN37-PCPT 583179.0 5842128 46.17 23.60 PCPT HKN37 37
HKN38-PCPT 581098.3 5842274 52.25 24.00 PCPT HKN38 38
HKN38-SCPT 581096.8 5842278 16.40 24.10 SCPT HKN38 38
HKN38-TCPT 581101.7 5842275 5.96 24.00 TCPT HKN38 38
HKN39-PCPT 581848.7 5841471 46.70 24.30 PCPT HKN39 39
HKN40-PCPT 579806.2 5839016 42.64 24.60 PCPT HKN40 40
HKN41-PCPT 581089.5 5839566 37.97 24.20 PCPT HKN41 41
HKN41-SCPT-D 581093.9 5839567 29.74 24.10 SCPT HKN41 41
HKN41-TCPT 581092.4 5839563 6.43 24.40 TCPT HKN41 41
HKN42-PCPT 582588.8 5840074 44.57 23.50 PCPT HKN42 42
HKN43-PCPT 583617.6 5839122 48.53 23.20 PCPT HKN43 43
HKN44-PCPT 584642.4 5840366 52.87 23.60 PCPT HKN44 44
HKN45-PCPT 586212.0 5840260 45.67 22.40 PCPT HKN45 45
HKN46-PCPT 586949.7 5839451 6.78 23.00 PCPT HKN46 46
HKN46-PCPT-A 586952.7 5839449 6.88 23.00 PCPT HKN46 46
HKN46-TCPT 586948.3 5839452 6.00 23.10 TCPT HKN46 46
HKN47-PCPT 587976.7 5840642 27.81 22.60 PCPT HKN47 47
HKN47-SCPT 587976.7 5840638 2.85 22.60 SCPT HKN47 47
HKN47-SCPT-A 587974.0 5840639 6.19 22.60 SCPT HKN47 47
HKN47-TCPT 587980.2 5840641 5.48 22.60 TCPT HKN47 47
HKN48-PCPT 589560.4 5840555 48.50 23.70 PCPT HKN48 48
HKN48-SCPT 589564.1 5840556 9.05 23.80 SCPT HKN48 48
HKN48-SCPT-A 589562.7 5840559 23.63 23.80 SCPT HKN48 48
HKN48-TCPT 589557.0 5840556 5.99 23.60 TCPT HKN48 48
HKN49-PCPT 591312.1 5840932 22.63 20.20 PCPT HKN49 49
HKN50-PCPT 590574.0 5839075 48.28 21.00 PCPT HKN50 50
HKN51-PCPT 588263.6 5837835 52.71 23.00 PCPT HKN51 51
HKN52-PCPT 588838.3 5835994 52.81 21.50 PCPT HKN52 52
HKN53-PCPT 586430.7 5836721 46.72 24.20 PCPT HKN53 53
HKN54-PCPT 585808.6 5837881 41.60 21.40 PCPT HKN54 54
HKN55-PCPT 585477.7 5838390 39.51 21.20 PCPT HKN55 55
HKN56-PCPT 584815.0 5838094 44.72 22.70 PCPT HKN56 56
HKN56-SCPT 584818.3 5838097 30.23 22.70 SCPT HKN56 56
HKN56-SCPT-A 584814.5 5838098 43.17 23.00 SCPT HKN56 56
HKN56-TCPT 584818.9 5838092 6.01 22.80 TCPT HKN56 56
HKN57-PCPT 584454.9 5837177 32.50 22.60 PCPT HKN57 57
HKN58-PCPT 582519.1 5837743 43.72 23.20 PCPT HKN58 58
HKN58-SCPT 582522.5 5837742 35.91 23.00 SCPT HKN58 58
HKN58-TCPT 582519.6 5837739 5.97 22.90 TCPT HKN58 58
HKN59-PCPT 581479.9 5837821 36.23 23.80 PCPT HKN59 59
HKN60-PCPT-A 580367.6 5837724 52.34 24.60 PCPT HKN60 60
HKN61-PCPT 578816.4 5835122 34.37 25.40 PCPT HKN61 61
HKN61-TCPT 578816.7 5835118 5.95 25.20 TCPT HKN61 61
HKN62-PCPT 577792.6 5833904 46.57 25.40 PCPT HKN62 62
HKN63-PCPT 578263.0 5833729 46.20 25.40 PCPT HKN63 63
HKN64-PCPT 579847.9 5833645 43.38 24.10 PCPT HKN64 64
HKN65-PCPT 580200.3 5834573 36.75 24.10 PCPT HKN65 65
HKN65-SCPT 580197.1 5834569 36.97 24.10 SCPT HKN65 65
HKN65-TCPT 580196.6 5834573 5.98 24.00 TCPT HKN65 65
HKN66-PCPT 582426.0 5834755 43.15 22.20 PCPT HKN66 66
HKN67-PCPT 583453.6 5833825 47.95 20.20 PCPT HKN67 67
HKN67-SCPT 583457.5 5833823 21.42 20.90 SCPT HKN67 67
HKN67-TCPT 583456.7 5833827 5.89 20.50 TCPT HKN67 67
HKN67-TCPT-A 583450.1 5833827 3.05 20.50 TCPT HKN67 67
HKN68-PCPT 585590.0 5834599 44.04 25.00 PCPT HKN68 68
HKN69-PCPT 586513.1 5834233 36.04 23.80 PCPT HKN69 69
HKN70-PCPT 590429.2 5833249 41.53 20.90 PCPT HKN70 70
HKN70-SCPT 590429.0 5833254 14.55 20.80 SCPT HKN70 70
HKN70-TCPT 590425.1 5833250 5.96 20.80 TCPT HKN70 70
HKN71-PCPT 588667.2 5832859 43.94 21.40 PCPT HKN71 71
HKN72-PCPT 585780.5 5832365 44.83 23.00 PCPT HKN72 72
HKN72-SCPT 585779.2 5832369 31.38 23.30 SCPT HKN72 72
HKN72-SCPT-A 585783.0 5832368 50.28 23.20 SCPT HKN72 72
HKN72-TCPT 585775.1 5832366 5.98 23.10 TCPT HKN72 72
HKN73-PCPT 584035.6 5831995 48.47 22.90 PCPT HKN73 73
HKN74-PCPT 579576.1 5831582 51.47 25.60 PCPT HKN74 74
HKN75-PCPT 578460.7 5831480 41.16 21.70 PCPT HKN75 75
HKN75-SCPT 578463.2 5831477 15.79 22.00 SCPT HKN75 75
HKN75-SCPT-A 578458.1 5831477 17.83 22.00 SCPT HKN75 75
HKN75-TCPT 578464.0 5831481 6.03 21.70 TCPT HKN75 75
HKN02-BH-SA 589323.0 5850861 60.02 24.80 BH HKN02 02
HKN04-BH-SA 586985.0 5849088 79.93 25.30 BH HKN04 04
HKN06-BH-SA 590397.0 5849499 60.93 23.90 BH HKN06 06
HKN10-BH-SA 587923.8 5848179 60.94 25.30 BH HKN10 10
HKN11-BH-SA 586920.2 5847498 59.41 27.51 BH HKN11 11
HKN14-BH-SA 587315.0 5845736 59.42 26.51 BH HKN14 14
HKN19-BH-SA 588694.0 5845195 61.42 24.41 BH HKN19 19
HKN21-BH-SA 583777.5 5845005 59.90 25.21 BH HKN21 21
HKN25-BH-SA 585270.0 5843316 60.42 25.41 BH HKN25 25
HKN26-BH-SA 587685.9 5843982 60.93 24.41 BH HKN26 26
HKN27-BH-SA 589915.0 5844173 59.46 26.60 BH HKN27 27
HKN28-BH-SC 590821.0 5844395 60.38 25.71 BH HKN28 28
HKN31-BH-SA 591401.0 5842513 59.42 21.60 BH HKN31 31
HKN33-BH-SA 589163.4 5842311 60.94 25.10 BH HKN33 33
HKN34-BH-CP 586764.5 5841670 60.96 25.80 BH HKN34 34
HKN36-BH-SA 585531.1 5841239 61.49 25.80 BH HKN36 36
HKN37-BH-SA 583180.3 5842133 61.32 25.21 BH HKN37 37
HKN39-BH-SA 581851.2 5841468 60.44 25.21 BH HKN39 39
HKN41-BH-SA 581087.0 5839563 66.47 26.31 BH HKN41 41
HKN44-BH-CP 584641.1 5840371 61.00 25.90 BH HKN44 44
HKN46-BH-SA 586953.7 5839453 60.45 24.30 BH HKN46 46
HKN47-BH-SA 587972.7 5840638 20.50 23.80 BH HKN47 47
HKN47A-BH-SA 587978.4 5840645 59.95 24.00 BH HKN47 47
HKN48A-BH-SA 589557.0 5840553 79.93 24.70 BH HKN48 48
HKN51-BH-CP 588261.0 5837832 60.92 26.31 BH HKN51 51
HKN52-BH-CP 588836.5 5835989 62.42 23.20 BH HKN52 52
HKN56-BH-SA 584815.0 5838090 59.92 26.31 BH HKN56 56
HKN58-BH-SA 582517.0 5837746 60.93 26.31 BH HKN58 58
HKN60-BH-SA 580366.9 5837717 59.42 26.31 BH HKN60 60
HKN65-BH-SA 580200.5 5834577 59.49 25.51 BH HKN65 65
HKN67-BH-SA 583452.0 5833821 59.96 24.00 BH HKN67 67
HKN70-BH-SA 590431.8 5833252 79.39 22.82 BH HKN70 70
HKN72A-BH-SA 585782.7 5832362 59.45 24.00 BH HKN72 72
HKN75-BH-SA 578461.0 5831484 61.38 23.30 BH HKN75 75


Here:

  • LOCA_ID: ID of the test point;
  • LOCA_NATE and LOCA_NATN: coordinates of the test point;
  • LOCA_FDEP: final depth of the test;
  • LOCA_WDEP: water depth;
  • TYPE: type of the test;
    • PCPT: porepressure CPT;
    • TCPT: thermal CPTU;
    • SCPT: seismic CPTU;
    • BH: down-hole CPTU;
  • LOCATION: location of the test point;
  • LOCA_NR: number of the location.

We see that the same LOCATION doesn’t have unique coordinates, but LOCA_IDs do. In this sense, a LOCATION can be seen as a cluster of different LOCA_IDs (test points).

3.1.2 Explore locations

To understand the data better, we need to explore them a little bit. Some visualizations could be very helpful in this regard, considering we have a complex site here, with a lot of test points. Here, we have built a plan view of the site.

ggplot(data_loc, aes(LOCA_NATE, LOCA_NATN)) +
  geom_point(aes(color = TYPE), size = 8, alpha = 1/4) +
  geom_richtext(
    data = data_loc, aes(label = LOCA_NR),
    color = annotation_color,
    family = annotation_family,
    size = annotation_size,
    fill = NA,
    label.color = annotation_label.color,
    label.padding = annotation_label.padding,
    label.r = annotation_label.r,
    hjust = annotation_hjust,
    vjust = annotation_vjust,
    fontface = annotation_fontface
  ) +
  facet_wrap(~TYPE) +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  coord_cartesian(expand = c(0, 0)) +
  scale_color_manual(values = c(col_r, col_y, col_g, col_b)) +
  theme(legend.position = "none")
_Plan view of the site._

Plan view of the site.

Here we have a lateral view from the EW direction, showing the maximum depth reached from each test TYPE.

ggplot(data_loc) +
  geom_segment(aes(x = LOCA_NATE, y = -LOCA_WDEP, xend = LOCA_NATE, yend = -(LOCA_WDEP + LOCA_FDEP),
                   color = TYPE), size = 2, alpha = 1/4) +
  geom_hline(yintercept = 0, color = gray_2, size = 2, alpha = 1) + # sea level
  facet_wrap(~TYPE, ncol = 1) +
  scale_x_continuous(labels = scales::comma) +
  scale_y_continuous(labels = scales::comma) +
  coord_cartesian(expand = c(0, 0)) +
  scale_color_manual(values = c(col_r, col_y, col_g, col_b)) +
  theme(legend.position = "none") +
  labs(y = "Depth")
_Section view of the site from EW._

Section view of the site from EW.

There is basically one PCTP test for each location, while the number of SCPTs is smaller (normally), as the latest are performed only in a portion of all locations. Down-hole CPTUs, represented by BHs, complement the PCPT and SCPT tests, in depths where seabed CPTUs could not have been completed. TCPT tests are much shallower (up to 6m) and relevant to the design of subsea cables. We are not going to consider TCPTs in our analysis.

3.2 CPTU data

3.2.1 Read CPTU data

From the same set of AGS 4.0 files I have extracted the data recorded from the CPTU tests. Let’s read these data and preview the first 100 rows.

data_cpt <- 
  vroom("cpt.csv") %>%
  select(-c(SCPT_TEMP, FILE_FSET)) %>% # we don't need these
  mutate(across(is.character, as.factor))
data_cpt
## # A tibble: 240,550 x 15
##    LOCA_ID    SCPG_TESN SCPT_DPTH SCPT_RES SCPT_FRES SCPT_PWP2 SCPT_FRR SCPT_QT
##    <fct>      <fct>         <dbl>    <dbl>     <dbl>     <dbl>    <dbl>   <dbl>
##  1 HKN01-PCPT 1              0       0.003     NA         NA      NA      0.004
##  2 HKN01-PCPT 1              0.02    0.042     NA         NA      NA      0.042
##  3 HKN01-PCPT 1              0.04    0.08      NA         NA      NA      0.08 
##  4 HKN01-PCPT 1              0.06    0.118     NA         NA      NA      0.119
##  5 HKN01-PCPT 1              0.08    0.157      8.35       1.9    32.8    0.157
##  6 HKN01-PCPT 1              0.1     0.354      6.62       1.8     1.97   0.355
##  7 HKN01-PCPT 1              0.12    0.527      7.5        1.9     1.50   0.528
##  8 HKN01-PCPT 1              0.14    0.602      9.32       1.9     1.52   0.603
##  9 HKN01-PCPT 1              0.16    0.705     11.1        1.9     1.54   0.706
## 10 HKN01-PCPT 1              0.18    0.827     13.0        2.1     1.56   0.828
## # ... with 240,540 more rows, and 7 more variables: SCPT_QNET <dbl>,
## #   SCPT_BQ <dbl>, SCPT_CIC1 <dbl>, SCPT_CISB <dbl>, SCPT_NQC1 <dbl>,
## #   SCPT_NRF1 <dbl>, SCPT_CUW1 <dbl>
# table
func_tbl(head(data_cpt, 100))
LOCA_ID SCPG_TESN SCPT_DPTH SCPT_RES SCPT_FRES SCPT_PWP2 SCPT_FRR SCPT_QT SCPT_QNET SCPT_BQ SCPT_CIC1 SCPT_CISB SCPT_NQC1 SCPT_NRF1 SCPT_CUW1
HKN01-PCPT 1 0.00 0.003 NA NA NA 0.004 0.004 0.2436 NA NA NA 6.529 19.7
HKN01-PCPT 1 0.02 0.042 NA NA NA 0.042 0.042 0.1835 2.56 4.93 73.8 6.017 19.7
HKN01-PCPT 1 0.04 0.080 NA NA NA 0.080 0.080 0.1234 2.56 4.92 78.9 6.307 19.7
HKN01-PCPT 1 0.06 0.118 NA NA NA 0.119 0.117 0.0633 2.56 4.92 81.1 6.409 19.7
HKN01-PCPT 1 0.08 0.157 8.353 1.9 32.777 0.157 0.156 0.0034 2.51 4.27 78.8 5.364 19.7
HKN01-PCPT 1 0.10 0.354 6.625 1.8 1.969 0.355 0.353 0.0016 2.16 3.29 81.3 1.878 19.7
HKN01-PCPT 1 0.12 0.527 7.500 1.9 1.495 0.528 0.526 0.0011 2.06 3.08 87.4 1.427 19.7
HKN01-PCPT 1 0.14 0.602 9.325 1.9 1.518 0.603 0.600 0.0011 2.06 3.03 93.4 1.554 19.7
HKN01-PCPT 1 0.16 0.705 11.149 1.9 1.541 0.706 0.703 0.0003 2.05 2.98 98.5 1.587 19.7
HKN01-PCPT 1 0.18 0.827 12.973 2.1 1.565 0.828 0.824 0.0005 2.03 2.92 104.0 1.574 19.7
HKN01-PCPT 1 0.20 0.941 14.797 2.3 1.588 0.942 0.938 0.0003 2.02 2.87 108.6 1.577 19.7
HKN01-PCPT 1 0.22 0.933 8.161 2.6 0.876 0.934 0.930 0.0003 1.92 2.76 87.0 0.878 19.7
HKN01-PCPT 1 0.24 0.988 7.077 2.9 0.761 0.989 0.984 0.0004 1.89 2.71 83.2 0.719 19.7
HKN01-PCPT 1 0.26 1.043 9.129 3.2 0.982 1.044 1.039 0.0005 1.91 2.73 89.1 0.879 19.7
HKN01-PCPT 1 0.28 1.097 9.944 3.5 1.069 1.099 1.093 0.0005 1.92 2.73 90.2 0.910 19.7
HKN01-PCPT 1 0.30 1.152 16.997 3.8 1.828 1.154 1.148 0.0006 2.02 2.83 102.0 1.481 19.7
HKN01-PCPT 1 0.32 1.298 23.855 4.3 1.920 1.300 1.294 0.0008 2.05 2.79 115.3 1.844 19.7
HKN01-PCPT 1 0.34 1.435 25.418 4.7 1.801 1.437 1.431 0.0009 2.03 2.74 119.3 1.777 19.7
HKN01-PCPT 1 0.36 1.356 25.986 5.1 1.857 1.358 1.351 0.0011 2.06 2.77 115.5 1.924 19.7
HKN01-PCPT 1 0.38 1.454 25.135 4.5 1.785 1.456 1.448 0.0005 2.03 2.74 115.2 1.735 19.7
HKN01-PCPT 1 0.40 1.551 23.319 4.8 1.519 1.553 1.545 0.0004 1.99 2.68 112.1 1.509 19.7
HKN01-PCPT 1 0.42 1.413 20.760 5.2 1.447 1.415 1.407 0.0006 2.01 2.70 103.2 1.476 19.7
HKN01-PCPT 1 0.44 1.467 19.153 5.1 1.329 1.469 1.460 0.0004 1.99 2.67 99.5 1.312 19.7
HKN01-PCPT 1 0.46 1.565 18.569 5.3 1.213 1.567 1.558 0.0004 1.96 2.62 99.9 1.192 19.7
HKN01-PCPT 1 0.48 1.615 19.665 5.6 1.230 1.617 1.608 0.0004 1.96 2.61 101.0 1.223 19.7
HKN01-PCPT 1 0.50 1.709 21.744 5.5 1.302 1.711 1.702 0.0003 1.96 2.60 105.7 1.278 19.7
HKN01-PCPT 1 0.52 1.792 22.870 5.6 1.294 1.794 1.784 0.0003 1.96 2.59 107.6 1.282 19.7
HKN01-PCPT 1 0.54 1.867 22.894 6.2 1.242 1.869 1.859 0.0003 1.94 2.56 108.1 1.232 19.7
HKN01-PCPT 1 0.56 1.958 20.578 6.9 1.071 1.961 1.950 0.0005 1.91 2.51 105.1 1.056 19.7
HKN01-PCPT 1 0.58 2.040 22.219 7.3 1.099 2.043 2.032 0.0007 1.91 2.50 108.9 1.093 19.7
HKN01-PCPT 1 0.60 2.146 24.133 7.1 1.134 2.149 2.137 0.0005 1.91 2.49 112.1 1.129 19.7
HKN01-PCPT 1 0.62 2.298 17.562 7.2 0.771 2.301 2.289 0.0005 1.82 2.38 105.8 0.767 19.7
HKN01-PCPT 1 0.64 2.483 14.796 7.4 0.599 2.486 2.474 0.0004 1.76 2.30 105.1 0.598 19.7
HKN01-PCPT 1 0.66 2.664 14.194 7.7 0.535 2.667 2.654 0.0004 1.72 2.25 107.1 0.535 19.7
HKN01-PCPT 1 0.68 2.737 16.143 8.2 0.600 2.741 2.727 0.0004 1.74 2.26 110.2 0.592 19.7
HKN01-PCPT 1 0.70 2.737 18.848 8.1 0.690 2.741 2.727 0.0005 1.77 2.29 112.4 0.691 19.7
HKN01-PCPT 1 0.72 2.806 20.620 8.5 0.736 2.809 2.795 0.0004 1.78 2.30 114.7 0.738 19.7
HKN01-PCPT 1 0.74 3.020 20.948 8.6 0.696 3.023 3.009 0.0004 1.75 2.26 118.6 0.696 19.7
HKN01-PCPT 1 0.76 3.139 20.423 8.8 0.652 3.143 3.128 0.0003 1.74 2.23 119.3 0.653 19.7
HKN01-PCPT 1 0.78 3.258 21.256 9.1 0.654 3.262 3.246 0.0004 1.73 2.21 121.5 0.655 19.7
HKN01-PCPT 1 0.80 3.340 21.331 9.9 0.640 3.344 3.328 0.0004 1.72 2.20 122.2 0.641 19.7
HKN01-PCPT 1 0.82 3.501 21.883 9.7 0.631 3.505 3.489 0.0005 1.71 2.18 124.9 0.627 19.7
HKN01-PCPT 1 0.84 3.700 22.757 9.8 0.618 3.704 3.687 0.0003 1.69 2.15 128.7 0.617 19.7
HKN01-PCPT 1 0.86 3.790 23.351 10.1 0.617 3.794 3.777 0.0003 1.69 2.14 131.2 0.618 19.7
HKN01-PCPT 1 0.88 3.813 23.533 10.1 0.619 3.818 3.800 0.0004 1.69 2.14 130.7 0.619 19.7
HKN01-PCPT 1 0.90 3.934 25.382 10.6 0.648 3.938 3.920 0.0003 1.69 2.14 133.7 0.647 19.7
HKN01-PCPT 1 0.92 4.103 27.063 10.4 0.664 4.107 4.089 0.0002 1.69 2.13 137.4 0.662 19.7
HKN01-PCPT 1 0.94 4.278 28.748 10.5 0.676 4.283 4.264 0.0003 1.69 2.12 141.2 0.674 19.7
HKN01-PCPT 1 0.96 4.476 29.480 10.8 0.666 4.481 4.462 0.0003 1.67 2.10 144.5 0.661 19.7
HKN01-PCPT 1 0.98 4.715 31.386 10.7 0.673 4.720 4.700 0.0002 1.66 2.08 149.5 0.668 19.7
HKN01-PCPT 1 1.00 4.920 34.754 11.5 0.712 4.925 4.905 0.0003 1.67 2.08 154.9 0.709 19.7
HKN01-PCPT 1 1.02 5.202 37.137 11.3 0.728 5.207 5.187 0.0002 1.66 2.06 160.9 0.716 19.7
HKN01-PCPT 1 1.04 5.817 38.289 11.0 0.679 5.822 5.801 0.0001 1.61 2.00 171.6 0.660 19.7
HKN01-PCPT 1 1.06 6.515 39.136 10.8 0.621 6.520 6.499 0.0001 1.57 1.94 183.0 0.602 19.7
HKN01-PCPT 1 1.08 7.176 41.300 10.8 0.589 7.180 7.159 0.0000 1.54 1.89 194.4 0.577 19.7
HKN01-PCPT 1 1.10 7.862 44.539 10.7 0.583 7.866 7.844 0.0000 1.51 1.86 206.9 0.568 19.7
HKN01-PCPT 1 1.12 8.598 47.545 10.3 0.572 8.603 8.581 -0.0001 1.48 1.82 219.5 0.554 19.7
HKN01-PCPT 1 1.14 9.299 49.895 10.6 0.551 9.303 9.281 -0.0001 1.46 1.78 230.8 0.538 19.7
HKN01-PCPT 1 1.16 9.897 52.393 10.9 0.539 9.901 9.878 -0.0001 1.44 1.75 240.4 0.530 19.7
HKN01-PCPT 1 1.18 10.383 55.959 11.0 0.546 10.387 10.364 -0.0001 1.44 1.74 249.1 0.540 19.7
HKN01-PCPT 1 1.20 10.780 58.623 11.4 0.552 10.785 10.761 -0.0001 1.43 1.73 255.7 0.545 19.7
HKN01-PCPT 1 1.22 11.292 62.043 11.8 0.559 11.297 11.273 0.0000 1.42 1.72 264.4 0.550 19.7
HKN01-PCPT 1 1.24 11.782 65.786 11.8 0.566 11.787 11.762 -0.0001 1.42 1.70 272.9 0.559 19.7
HKN01-PCPT 1 1.26 12.103 69.963 11.9 0.583 12.108 12.083 0.0000 1.42 1.70 279.2 0.579 19.7
HKN01-PCPT 1 1.28 12.272 73.633 12.7 0.602 12.278 12.252 0.0000 1.43 1.70 282.9 0.601 19.7
HKN01-PCPT 1 1.30 12.353 74.923 13.0 0.607 12.358 12.332 0.0000 1.43 1.70 283.6 0.608 19.7
HKN01-PCPT 1 1.32 12.334 75.408 13.7 0.611 12.340 12.314 0.0000 1.43 1.71 282.3 0.612 19.7
HKN01-PCPT 1 1.34 12.337 74.820 14.2 0.606 12.343 12.317 0.0001 1.43 1.70 280.6 0.607 19.7
HKN01-PCPT 1 1.36 12.314 73.723 14.4 0.599 12.320 12.293 0.0001 1.43 1.70 278.2 0.600 19.7
HKN01-PCPT 1 1.38 12.318 70.393 14.6 0.571 12.324 12.297 0.0001 1.42 1.69 274.6 0.572 19.7
HKN01-PCPT 1 1.40 12.381 67.165 14.4 0.544 12.387 12.359 0.0000 1.41 1.68 271.9 0.543 19.7
HKN01-PCPT 1 1.42 12.519 65.149 14.6 0.521 12.525 12.498 0.0000 1.40 1.66 271.2 0.521 19.7
HKN01-PCPT 1 1.44 12.759 62.575 14.8 0.491 12.765 12.737 0.0000 1.38 1.64 271.4 0.491 19.7
HKN01-PCPT 1 1.46 13.176 61.168 14.6 0.465 13.182 13.153 0.0000 1.36 1.62 274.8 0.465 19.7
HKN01-PCPT 1 1.48 13.387 62.468 15.1 0.467 13.393 13.364 0.0000 1.36 1.61 277.4 0.467 19.7
HKN01-PCPT 1 1.50 13.595 62.525 15.1 0.460 13.601 13.571 0.0000 1.35 1.60 279.1 0.461 19.7
HKN01-PCPT 1 1.52 13.930 63.519 14.9 0.457 13.937 13.907 0.0000 1.35 1.59 283.2 0.457 19.7
HKN01-PCPT 1 1.54 14.203 66.689 15.1 0.473 14.209 14.178 0.0000 1.35 1.59 287.9 0.470 19.7
HKN01-PCPT 1 1.56 14.161 68.592 15.9 0.484 14.168 14.137 0.0000 1.36 1.60 287.6 0.485 19.7
HKN01-PCPT 1 1.58 13.991 72.540 16.6 0.518 13.998 13.967 0.0001 1.38 1.62 287.0 0.519 19.7
HKN01-PCPT 1 1.60 13.952 74.008 17.2 0.530 13.959 13.928 0.0000 1.39 1.63 286.3 0.531 19.7
HKN01-PCPT 1 1.62 14.017 73.772 17.0 0.527 14.024 13.992 0.0000 1.38 1.62 285.9 0.527 19.7
HKN01-PCPT 1 1.64 14.039 74.270 16.8 0.529 14.046 14.013 0.0000 1.39 1.62 285.5 0.530 19.7
HKN01-PCPT 1 1.66 14.028 73.398 17.4 0.523 14.036 14.003 0.0000 1.38 1.62 283.7 0.524 19.7
HKN01-PCPT 1 1.68 14.062 75.740 17.5 0.538 14.070 14.037 0.0000 1.39 1.63 284.6 0.540 19.7
HKN01-PCPT 1 1.70 14.200 77.041 17.7 0.544 14.207 14.174 0.0000 1.39 1.63 286.1 0.544 19.7
HKN01-PCPT 1 1.72 14.367 78.592 18.0 0.548 14.374 14.340 0.0000 1.39 1.63 288.2 0.548 19.7
HKN01-PCPT 1 1.74 14.492 82.171 18.4 0.568 14.500 14.466 0.0001 1.40 1.63 291.0 0.568 19.7
HKN01-PCPT 1 1.76 14.641 85.061 18.5 0.582 14.649 14.614 0.0001 1.41 1.63 291.7 0.582 19.7
HKN01-PCPT 1 1.78 14.891 88.163 18.7 0.595 14.899 14.864 0.0000 1.41 1.63 295.8 0.593 19.7
HKN01-PCPT 1 1.80 15.179 89.238 18.8 0.591 15.187 15.151 0.0000 1.40 1.63 299.2 0.589 19.7
HKN01-PCPT 1 1.82 15.485 90.397 18.6 0.587 15.493 15.457 0.0000 1.40 1.62 302.8 0.585 19.7
HKN01-PCPT 1 1.84 15.789 91.335 18.9 0.582 15.797 15.761 0.0000 1.39 1.61 306.3 0.580 19.7
HKN01-PCPT 1 1.86 15.922 93.060 19.1 0.587 15.930 15.893 0.0000 1.39 1.61 308.0 0.586 19.7
HKN01-PCPT 1 1.88 15.972 95.666 19.3 0.600 15.980 15.943 0.0000 1.40 1.61 309.1 0.600 19.7
HKN01-PCPT 1 1.90 16.010 97.585 19.4 0.610 16.018 15.980 0.0000 1.40 1.62 309.6 0.611 19.7
HKN01-PCPT 1 1.92 16.026 99.242 20.4 0.620 16.034 15.996 0.0001 1.41 1.62 309.7 0.620 19.7
HKN01-PCPT 1 1.94 15.981 99.195 20.8 0.619 15.990 15.952 0.0001 1.41 1.62 308.1 0.622 19.7
HKN01-PCPT 1 1.96 15.783 98.169 21.0 0.619 15.791 15.753 0.0001 1.42 1.62 304.0 0.623 19.7
HKN01-PCPT 1 1.98 15.486 94.687 21.2 0.607 15.494 15.455 0.0001 1.42 1.63 297.4 0.613 19.7


There are ~ 240k available data points here. We have the classic parameters we get from a CPTU test, with the addition of few derived parameters. More specifically:

  • SCPG_TESN: is the CPTU stroke or push;
  • SCPT_DPTH: is the depth of result;
  • SCPT_RES: is the cone resistance qc;
  • SCPT_FRES: is the local unit side friction resistance fs;
  • SCPT_PWP2: is the shoulder porewater pressure u2;
  • SCPT_FRR: is the friction ratio Rf;
  • SCPT_QT: is the corrected cone resistance qt;
  • SCPT_QNET: is the net cone resistance qn;
  • SCPT_BQ: is the pore pressure ratio Bq;
  • SCPT_CIC1: is the soil behaviour type index Ic;
  • SCPT_CISB: is the non-normalized soil behaviour type index ISBT;
  • SCPT_NQC1: is the normalised cone resistance Qt;
  • SCPT_NRF1: is the normalised friction ratio Fr;
  • SCPT_CUW1: is the unit weight.

3.2.2 Merge data

We merge the data_loc and data_cpt data, so everything is in one place and we can connect location to measured CPTU parameters. This makes it easier to explore and understand the data. We are also leaving out TCPT measurements.

data_join <- left_join(data_loc, data_cpt, by = "LOCA_ID") %>% filter(TYPE != "TCPT")

# table
func_tbl(head(data_join, 100))
LOCA_ID LOCA_NATE LOCA_NATN LOCA_FDEP LOCA_WDEP TYPE LOCATION LOCA_NR SCPG_TESN SCPT_DPTH SCPT_RES SCPT_FRES SCPT_PWP2 SCPT_FRR SCPT_QT SCPT_QNET SCPT_BQ SCPT_CIC1 SCPT_CISB SCPT_NQC1 SCPT_NRF1 SCPT_CUW1
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.00 0.003 NA NA NA 0.004 0.004 0.2436 NA NA NA 6.529 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.02 0.042 NA NA NA 0.042 0.042 0.1835 2.56 4.93 73.8 6.017 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.04 0.080 NA NA NA 0.080 0.080 0.1234 2.56 4.92 78.9 6.307 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.06 0.118 NA NA NA 0.119 0.117 0.0633 2.56 4.92 81.1 6.409 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.08 0.157 8.353 1.9 32.777 0.157 0.156 0.0034 2.51 4.27 78.8 5.364 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.10 0.354 6.625 1.8 1.969 0.355 0.353 0.0016 2.16 3.29 81.3 1.878 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.12 0.527 7.500 1.9 1.495 0.528 0.526 0.0011 2.06 3.08 87.4 1.427 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.14 0.602 9.325 1.9 1.518 0.603 0.600 0.0011 2.06 3.03 93.4 1.554 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.16 0.705 11.149 1.9 1.541 0.706 0.703 0.0003 2.05 2.98 98.5 1.587 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.18 0.827 12.973 2.1 1.565 0.828 0.824 0.0005 2.03 2.92 104.0 1.574 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.20 0.941 14.797 2.3 1.588 0.942 0.938 0.0003 2.02 2.87 108.6 1.577 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.22 0.933 8.161 2.6 0.876 0.934 0.930 0.0003 1.92 2.76 87.0 0.878 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.24 0.988 7.077 2.9 0.761 0.989 0.984 0.0004 1.89 2.71 83.2 0.719 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.26 1.043 9.129 3.2 0.982 1.044 1.039 0.0005 1.91 2.73 89.1 0.879 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.28 1.097 9.944 3.5 1.069 1.099 1.093 0.0005 1.92 2.73 90.2 0.910 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.30 1.152 16.997 3.8 1.828 1.154 1.148 0.0006 2.02 2.83 102.0 1.481 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.32 1.298 23.855 4.3 1.920 1.300 1.294 0.0008 2.05 2.79 115.3 1.844 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.34 1.435 25.418 4.7 1.801 1.437 1.431 0.0009 2.03 2.74 119.3 1.777 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.36 1.356 25.986 5.1 1.857 1.358 1.351 0.0011 2.06 2.77 115.5 1.924 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.38 1.454 25.135 4.5 1.785 1.456 1.448 0.0005 2.03 2.74 115.2 1.735 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.40 1.551 23.319 4.8 1.519 1.553 1.545 0.0004 1.99 2.68 112.1 1.509 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.42 1.413 20.760 5.2 1.447 1.415 1.407 0.0006 2.01 2.70 103.2 1.476 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.44 1.467 19.153 5.1 1.329 1.469 1.460 0.0004 1.99 2.67 99.5 1.312 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.46 1.565 18.569 5.3 1.213 1.567 1.558 0.0004 1.96 2.62 99.9 1.192 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.48 1.615 19.665 5.6 1.230 1.617 1.608 0.0004 1.96 2.61 101.0 1.223 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.50 1.709 21.744 5.5 1.302 1.711 1.702 0.0003 1.96 2.60 105.7 1.278 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.52 1.792 22.870 5.6 1.294 1.794 1.784 0.0003 1.96 2.59 107.6 1.282 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.54 1.867 22.894 6.2 1.242 1.869 1.859 0.0003 1.94 2.56 108.1 1.232 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.56 1.958 20.578 6.9 1.071 1.961 1.950 0.0005 1.91 2.51 105.1 1.056 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.58 2.040 22.219 7.3 1.099 2.043 2.032 0.0007 1.91 2.50 108.9 1.093 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.60 2.146 24.133 7.1 1.134 2.149 2.137 0.0005 1.91 2.49 112.1 1.129 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.62 2.298 17.562 7.2 0.771 2.301 2.289 0.0005 1.82 2.38 105.8 0.767 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.64 2.483 14.796 7.4 0.599 2.486 2.474 0.0004 1.76 2.30 105.1 0.598 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.66 2.664 14.194 7.7 0.535 2.667 2.654 0.0004 1.72 2.25 107.1 0.535 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.68 2.737 16.143 8.2 0.600 2.741 2.727 0.0004 1.74 2.26 110.2 0.592 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.70 2.737 18.848 8.1 0.690 2.741 2.727 0.0005 1.77 2.29 112.4 0.691 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.72 2.806 20.620 8.5 0.736 2.809 2.795 0.0004 1.78 2.30 114.7 0.738 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.74 3.020 20.948 8.6 0.696 3.023 3.009 0.0004 1.75 2.26 118.6 0.696 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.76 3.139 20.423 8.8 0.652 3.143 3.128 0.0003 1.74 2.23 119.3 0.653 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.78 3.258 21.256 9.1 0.654 3.262 3.246 0.0004 1.73 2.21 121.5 0.655 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.80 3.340 21.331 9.9 0.640 3.344 3.328 0.0004 1.72 2.20 122.2 0.641 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.82 3.501 21.883 9.7 0.631 3.505 3.489 0.0005 1.71 2.18 124.9 0.627 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.84 3.700 22.757 9.8 0.618 3.704 3.687 0.0003 1.69 2.15 128.7 0.617 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.86 3.790 23.351 10.1 0.617 3.794 3.777 0.0003 1.69 2.14 131.2 0.618 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.88 3.813 23.533 10.1 0.619 3.818 3.800 0.0004 1.69 2.14 130.7 0.619 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.90 3.934 25.382 10.6 0.648 3.938 3.920 0.0003 1.69 2.14 133.7 0.647 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.92 4.103 27.063 10.4 0.664 4.107 4.089 0.0002 1.69 2.13 137.4 0.662 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.94 4.278 28.748 10.5 0.676 4.283 4.264 0.0003 1.69 2.12 141.2 0.674 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.96 4.476 29.480 10.8 0.666 4.481 4.462 0.0003 1.67 2.10 144.5 0.661 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.98 4.715 31.386 10.7 0.673 4.720 4.700 0.0002 1.66 2.08 149.5 0.668 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.00 4.920 34.754 11.5 0.712 4.925 4.905 0.0003 1.67 2.08 154.9 0.709 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.02 5.202 37.137 11.3 0.728 5.207 5.187 0.0002 1.66 2.06 160.9 0.716 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.04 5.817 38.289 11.0 0.679 5.822 5.801 0.0001 1.61 2.00 171.6 0.660 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.06 6.515 39.136 10.8 0.621 6.520 6.499 0.0001 1.57 1.94 183.0 0.602 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.08 7.176 41.300 10.8 0.589 7.180 7.159 0.0000 1.54 1.89 194.4 0.577 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.10 7.862 44.539 10.7 0.583 7.866 7.844 0.0000 1.51 1.86 206.9 0.568 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.12 8.598 47.545 10.3 0.572 8.603 8.581 -0.0001 1.48 1.82 219.5 0.554 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.14 9.299 49.895 10.6 0.551 9.303 9.281 -0.0001 1.46 1.78 230.8 0.538 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.16 9.897 52.393 10.9 0.539 9.901 9.878 -0.0001 1.44 1.75 240.4 0.530 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.18 10.383 55.959 11.0 0.546 10.387 10.364 -0.0001 1.44 1.74 249.1 0.540 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.20 10.780 58.623 11.4 0.552 10.785 10.761 -0.0001 1.43 1.73 255.7 0.545 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.22 11.292 62.043 11.8 0.559 11.297 11.273 0.0000 1.42 1.72 264.4 0.550 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.24 11.782 65.786 11.8 0.566 11.787 11.762 -0.0001 1.42 1.70 272.9 0.559 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.26 12.103 69.963 11.9 0.583 12.108 12.083 0.0000 1.42 1.70 279.2 0.579 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.28 12.272 73.633 12.7 0.602 12.278 12.252 0.0000 1.43 1.70 282.9 0.601 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.30 12.353 74.923 13.0 0.607 12.358 12.332 0.0000 1.43 1.70 283.6 0.608 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.32 12.334 75.408 13.7 0.611 12.340 12.314 0.0000 1.43 1.71 282.3 0.612 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.34 12.337 74.820 14.2 0.606 12.343 12.317 0.0001 1.43 1.70 280.6 0.607 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.36 12.314 73.723 14.4 0.599 12.320 12.293 0.0001 1.43 1.70 278.2 0.600 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.38 12.318 70.393 14.6 0.571 12.324 12.297 0.0001 1.42 1.69 274.6 0.572 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.40 12.381 67.165 14.4 0.544 12.387 12.359 0.0000 1.41 1.68 271.9 0.543 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.42 12.519 65.149 14.6 0.521 12.525 12.498 0.0000 1.40 1.66 271.2 0.521 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.44 12.759 62.575 14.8 0.491 12.765 12.737 0.0000 1.38 1.64 271.4 0.491 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.46 13.176 61.168 14.6 0.465 13.182 13.153 0.0000 1.36 1.62 274.8 0.465 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.48 13.387 62.468 15.1 0.467 13.393 13.364 0.0000 1.36 1.61 277.4 0.467 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.50 13.595 62.525 15.1 0.460 13.601 13.571 0.0000 1.35 1.60 279.1 0.461 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.52 13.930 63.519 14.9 0.457 13.937 13.907 0.0000 1.35 1.59 283.2 0.457 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.54 14.203 66.689 15.1 0.473 14.209 14.178 0.0000 1.35 1.59 287.9 0.470 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.56 14.161 68.592 15.9 0.484 14.168 14.137 0.0000 1.36 1.60 287.6 0.485 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.58 13.991 72.540 16.6 0.518 13.998 13.967 0.0001 1.38 1.62 287.0 0.519 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.60 13.952 74.008 17.2 0.530 13.959 13.928 0.0000 1.39 1.63 286.3 0.531 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.62 14.017 73.772 17.0 0.527 14.024 13.992 0.0000 1.38 1.62 285.9 0.527 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.64 14.039 74.270 16.8 0.529 14.046 14.013 0.0000 1.39 1.62 285.5 0.530 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.66 14.028 73.398 17.4 0.523 14.036 14.003 0.0000 1.38 1.62 283.7 0.524 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.68 14.062 75.740 17.5 0.538 14.070 14.037 0.0000 1.39 1.63 284.6 0.540 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.70 14.200 77.041 17.7 0.544 14.207 14.174 0.0000 1.39 1.63 286.1 0.544 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.72 14.367 78.592 18.0 0.548 14.374 14.340 0.0000 1.39 1.63 288.2 0.548 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.74 14.492 82.171 18.4 0.568 14.500 14.466 0.0001 1.40 1.63 291.0 0.568 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.76 14.641 85.061 18.5 0.582 14.649 14.614 0.0001 1.41 1.63 291.7 0.582 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.78 14.891 88.163 18.7 0.595 14.899 14.864 0.0000 1.41 1.63 295.8 0.593 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.80 15.179 89.238 18.8 0.591 15.187 15.151 0.0000 1.40 1.63 299.2 0.589 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.82 15.485 90.397 18.6 0.587 15.493 15.457 0.0000 1.40 1.62 302.8 0.585 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.84 15.789 91.335 18.9 0.582 15.797 15.761 0.0000 1.39 1.61 306.3 0.580 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.86 15.922 93.060 19.1 0.587 15.930 15.893 0.0000 1.39 1.61 308.0 0.586 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.88 15.972 95.666 19.3 0.600 15.980 15.943 0.0000 1.40 1.61 309.1 0.600 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.90 16.010 97.585 19.4 0.610 16.018 15.980 0.0000 1.40 1.62 309.6 0.611 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.92 16.026 99.242 20.4 0.620 16.034 15.996 0.0001 1.41 1.62 309.7 0.620 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.94 15.981 99.195 20.8 0.619 15.990 15.952 0.0001 1.41 1.62 308.1 0.622 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.96 15.783 98.169 21.0 0.619 15.791 15.753 0.0001 1.42 1.62 304.0 0.623 19.7
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.98 15.486 94.687 21.2 0.607 15.494 15.455 0.0001 1.42 1.63 297.4 0.613 19.7

3.2.3 Explore CPTUs

Here we plot some basic CPTU parameters, so we get some idea of the ground properties. Move through the tabs to see plots of qc, fs and u2, shown separated for each test type.

qc

ggplot(data_join, aes(SCPT_RES, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  labs(x = "qc (MPa)")
_Plot of `qc` vs depth._

Plot of qc vs depth.

fs

ggplot(data_join, aes(SCPT_FRES, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  labs(x = "fs (kPa)")
_Plot of `fs` vs depth._

Plot of fs vs depth.

u2

ggplot(data_join, aes(SCPT_PWP2, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  labs(x = "u2 (kPa)")
_Plot of `u2` vs depth._

Plot of u2 vs depth.

We need to filter out the fake measurements from down-hole CPTU strokes. These are mostly the points on the left side of the BH plot. For simplicity, I am going to use the filtering implemented in the provided dataset. For this, we need to just remove the rows where Qt values are missing. If you’d like to implement your own criteria for filtering down-hole CPTs, I have created a small up for this purpose, which you may try here. We are left with ~ 227k measurements.

data_join <- data_join %>% filter(!is.na(SCPT_NQC1))

3.2.4 Filtered plots

After removing the fake measurements and re-plotting, things look much better.

qc

ggplot(data_join, aes(SCPT_RES, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  labs(x = "qc (MPa)")
_Plot of `qc` vs depth._

Plot of qc vs depth.

fs

ggplot(data_join, aes(SCPT_FRES, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  labs(x = "fs (kPa)")
_Plot of `fs` vs depth._

Plot of fs vs depth.

u2

ggplot(data_join, aes(SCPT_PWP2, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  labs(x = "u2 (kPa)")
_Plot of `u2` vs depth._

Plot of u2 vs depth.

3.2.5 Additional parameters

For reference, we also plot other derived CPTU parameters vs depth:

Fr

ggplot(data_join, aes(SCPT_FRR, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(0, 10), ylim = c(80, 0)) +
  labs(x = "Fr (%)")
_Plot of `Fr` vs depth._

Plot of Fr vs depth.

Ic

ggplot(data_join, aes(SCPT_CIC1, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(1, 4), ylim = c(80, 0)) +
  labs(x = "Ic (-)")
_Plot of `Ic` vs depth._

Plot of Ic vs depth.

Qn

ggplot(data_join, aes(SCPT_NQC1, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(1, 1000), ylim = c(80, 0)) +
  scale_x_log10(breaks = c(1, 10, 100, 1000)) +
  labs(x = "Qtn (-)")
_Plot of `Qn` vs depth._

Plot of Qn vs depth.

Unit weight

ggplot(data_join, aes(SCPT_CUW1, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(16, 24), ylim = c(80, 0)) +
  labs(x = "Unit weight (kN/m3)")
_Plot of `unit weight` vs depth._

Plot of unit weight vs depth.

It looks like something is wrong with some of the normalised parameters and for the unit weight, as they show the same profile over and over for the PCPT and SCPT type of tests. I have no idea why this happens but probably, the data are overwritten somehow. 🤷 We need to correct these parameters.

The following code leaves out the “wrong” data and recalculates them. For the correlation of the unit weight (UW), we use the relationship given by Lengkeek et al., while for the other parameters (U0, SV0, SV0P, Qtn, Fr, Ic) we use the classical formulas.

data_corr <- 
  data_join %>%
  select(-c(SCPT_CIC1:SCPT_CUW1)) %>%
  mutate(
    # unit weight (Lengkeek et al.) (kN/m3)
    UW = 19 - 4.12 * (log10(5 / SCPT_QT) / log10(30 / SCPT_FRR)),
    # porewater pressure (kPa)
    U0 = 9.81 * SCPT_DPTH,
    # total in-situ vertical stress (kPa)
    SV0 = UW * SCPT_DPTH,
    # effective in-situ vertical stress (kPa)
    SV0P = SV0 - SCPT_DPTH * 9.81,
    # normalised cone resistance (-)
    QT1 = ((SCPT_QT - SV0 * 0.001) / (101 * 0.001)) * (101 / SV0P),
    # normalised friction ratio (%)
    Fr = (SCPT_FRES / (SCPT_QT - SV0 * 0.001) * 0.001) * 100,
    # soil behaviour type index Ic (-)
    IC1 = ((3.47 - log10(QT1))^2 + (log10(Fr) + 1.22)^2)^0.5,
    n1 = 0.381 * IC1 + 0.05 * (SV0P / 101) - 0.15,
    n = case_when(
      n1 > 1 ~ 1,
      n1 <= 1 ~ n1
    ),
    Qtn = ((SCPT_QT - SV0 * 0.001) / (101 * 0.001)) * (101 / SV0P)^n,
    Ic = ((3.47 - log10(Qtn))^2 + (log10(Fr) + 1.22)^2)^0.5
  ) %>%
  select(-c(SCPT_FRR, QT1, IC1, n1)) %>%
  mutate(round(across(UW:Ic), digits = 4))

# table
func_tbl(head(data_corr, 100))
LOCA_ID LOCA_NATE LOCA_NATN LOCA_FDEP LOCA_WDEP TYPE LOCATION LOCA_NR SCPG_TESN SCPT_DPTH SCPT_RES SCPT_FRES SCPT_PWP2 SCPT_QT SCPT_QNET SCPT_BQ UW U0 SV0 SV0P Fr n Qtn Ic
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.02 0.042 NA NA 0.042 0.042 0.1835 NA 0.1962 NA NA NA NA NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.04 0.080 NA NA 0.080 0.080 0.1234 NA 0.3924 NA NA NA NA NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.06 0.118 NA NA 0.119 0.117 0.0633 NA 0.5886 NA NA NA NA NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.08 0.157 8.353 1.9 0.157 0.156 0.0034 180.0658 0.7848 14.4053 13.6205 5.8579 1.0000 10.4692 3.1550
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.10 0.354 6.625 1.8 0.355 0.353 0.0016 14.9989 0.9810 1.4999 0.5189 1.8741 0.4686 41.3779 2.3797
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.12 0.527 7.500 1.9 0.528 0.526 0.0011 15.9117 1.1772 1.9094 0.7322 1.4256 0.4237 42.0036 2.3018
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.14 0.602 9.325 1.9 0.603 0.600 0.0011 16.0793 1.3734 2.2511 0.8777 1.5522 0.4399 47.9699 2.2785
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.16 0.705 11.149 1.9 0.706 0.703 0.0003 16.2833 1.5696 2.6053 1.0357 1.5850 0.4437 53.1292 2.2495
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.18 0.827 12.973 2.1 0.828 0.824 0.0005 16.4915 1.7658 2.9685 1.2027 1.5724 0.4418 57.8550 2.2187
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.20 0.941 14.797 2.3 0.942 0.938 0.0003 16.6598 1.9620 3.3320 1.3700 1.5764 0.4424 62.2881 2.1949
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.22 0.933 8.161 2.6 0.934 0.930 0.0003 17.0439 2.1582 3.7496 1.5914 0.8773 0.3686 42.5361 2.1779
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.24 0.988 7.077 2.9 0.989 0.984 0.0004 17.1829 2.3544 4.1239 1.7695 0.7186 0.3452 39.3975 2.1616
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.26 1.043 9.129 3.2 1.044 1.039 0.0005 17.1127 2.5506 4.4493 1.8987 0.8782 0.3746 45.6095 2.1525
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.28 1.097 9.944 3.5 1.099 1.093 0.0005 17.1281 2.7468 4.7959 2.0491 0.9088 0.3817 47.9608 2.1424
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.30 1.152 16.997 3.8 1.154 1.148 0.0006 16.8410 2.9430 5.0523 2.1093 1.4794 0.4499 64.8555 2.1637
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.32 1.298 23.855 4.3 1.300 1.294 0.0008 16.9810 3.1392 5.4339 2.2947 1.8427 0.4798 78.7888 2.1639
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.34 1.435 25.418 4.7 1.437 1.431 0.0009 17.1737 3.3354 5.8391 2.5037 1.7760 0.4735 81.6017 2.1419
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.36 1.356 25.986 5.1 1.358 1.351 0.0011 17.0699 3.5316 6.1451 2.6135 1.9222 0.4926 80.9929 2.1679
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.38 1.454 25.135 4.5 1.456 1.448 0.0005 17.1986 3.7278 6.5355 2.8077 1.7341 0.4777 79.4608 2.1432
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.40 1.551 23.319 4.8 1.553 1.545 0.0004 17.3852 3.9240 6.9541 3.0301 1.5083 0.4583 76.3612 2.1154
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.42 1.413 20.760 5.2 1.415 1.407 0.0006 17.2846 4.1202 7.2595 3.1393 1.4747 0.4657 70.1785 2.1366
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.44 1.467 19.153 5.1 1.469 1.460 0.0004 17.3809 4.3164 7.6476 3.3312 1.3106 0.4509 67.3920 2.1173
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.46 1.565 18.569 5.3 1.567 1.558 0.0004 17.5099 4.5126 8.0546 3.5420 1.1911 0.4374 66.8199 2.0942
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.48 1.615 19.665 5.6 1.617 1.608 0.0004 17.5439 4.7088 8.4211 3.7123 1.2225 0.4425 68.6936 2.0919
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.50 1.709 21.744 5.5 1.711 1.702 0.0003 17.5917 4.9050 8.7959 3.8909 1.2774 0.4479 72.4564 2.0859
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.52 1.792 22.870 5.6 1.794 1.784 0.0003 17.6566 5.1012 9.1814 4.0802 1.2814 0.4484 74.5021 2.0774
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.54 1.867 22.894 6.2 1.869 1.859 0.0003 17.7269 5.2974 9.5725 4.2751 1.2312 0.4434 74.8199 2.0650
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.56 1.958 20.578 6.9 1.961 1.950 0.0005 17.8429 5.4936 9.9920 4.4984 1.0547 0.4223 71.8799 2.0368
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.58 2.040 22.219 7.3 2.043 2.032 0.0007 17.8849 5.6898 10.3732 4.6834 1.0931 0.4273 74.7514 2.0329
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.60 2.146 24.133 7.1 2.149 2.137 0.0005 17.9378 5.8860 10.7627 4.8767 1.1286 0.4309 78.1345 2.0265
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.62 2.298 17.562 7.2 2.301 2.289 0.0005 18.1267 6.0822 11.2385 5.1563 0.7670 0.3773 69.6579 1.9667
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.64 2.483 14.796 7.4 2.486 2.474 0.0004 18.2644 6.2784 11.6892 5.4108 0.5980 0.3420 66.6476 1.9244
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.66 2.664 14.194 7.7 2.667 2.654 0.0004 18.3570 6.4746 12.1156 5.6410 0.5346 0.3248 67.0867 1.8972
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.68 2.737 16.143 8.2 2.741 2.727 0.0004 18.3669 6.6708 12.4895 5.8187 0.5916 0.3382 70.9207 1.8990
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.70 2.737 18.848 8.1 2.741 2.727 0.0005 18.3435 6.8670 12.8404 5.9734 0.6909 0.3611 74.9984 1.9147
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.72 2.806 20.620 8.5 2.809 2.795 0.0004 18.3593 7.0632 13.2187 6.1555 0.7375 0.3704 78.0265 1.9164
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.74 3.020 20.948 8.6 3.023 3.009 0.0004 18.4492 7.2594 13.6524 6.3930 0.6961 0.3593 80.3213 1.8918
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.76 3.139 20.423 8.8 3.143 3.128 0.0003 18.5004 7.4556 14.0603 6.6047 0.6527 0.3503 80.5363 1.8753
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.78 3.258 21.256 9.1 3.262 3.246 0.0004 18.5401 7.6518 14.4613 6.8095 0.6545 0.3501 82.6540 1.8666
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.80 3.340 21.331 9.9 3.344 3.328 0.0004 18.5692 7.8480 14.8554 7.0074 0.6407 0.3478 83.3699 1.8583
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.82 3.501 21.883 9.7 3.505 3.489 0.0005 18.6210 8.0442 15.2692 7.2250 0.6271 0.3434 85.4720 1.8442
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.84 3.700 22.757 9.8 3.704 3.687 0.0003 18.6816 8.2404 15.6926 7.4522 0.6170 0.3389 88.3448 1.8283
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.86 3.790 23.351 10.1 3.794 3.777 0.0003 18.7072 8.4366 16.0882 7.6516 0.6181 0.3395 89.8173 1.8228
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.88 3.813 23.533 10.1 3.818 3.800 0.0004 18.7137 8.6328 16.4680 7.8352 0.6190 0.3416 90.1272 1.8219
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.90 3.934 25.382 10.6 3.938 3.920 0.0003 18.7435 8.8290 16.8691 8.0401 0.6473 0.3470 93.4255 1.8198
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.92 4.103 27.063 10.4 4.107 4.089 0.0002 18.7873 9.0252 17.2843 8.2591 0.6617 0.3485 96.9034 1.8123
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.94 4.278 28.748 10.5 4.283 4.264 0.0003 18.8319 9.2214 17.7019 8.4805 0.6740 0.3495 100.3898 1.8043
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.96 4.476 29.480 10.8 4.481 4.462 0.0003 18.8814 9.4176 18.1262 8.7086 0.6606 0.3451 102.9522 1.7903
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.98 4.715 31.386 10.7 4.720 4.700 0.0002 18.9375 9.6138 18.5587 8.9449 0.6676 0.3442 107.2181 1.7787
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.00 4.920 34.754 11.5 4.925 4.905 0.0003 18.9834 9.8100 18.9834 9.1734 0.7084 0.3507 112.6543 1.7768
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.02 5.202 37.137 11.3 5.207 5.187 0.0002 19.0449 10.0062 19.4258 9.4196 0.7159 0.3495 117.6865 1.7644
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.04 5.817 38.289 11.0 5.822 5.801 0.0001 19.1655 10.2024 19.9322 9.7298 0.6599 0.3311 124.6693 1.7231
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.06 6.515 39.136 10.8 6.520 6.499 0.0001 19.2820 10.3986 20.4389 10.0403 0.6021 0.3111 131.9771 1.6794
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.08 7.176 41.300 10.8 7.180 7.159 0.0000 19.3793 10.5948 20.9296 10.3348 0.5769 0.2992 140.2098 1.6473
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.10 7.862 44.539 10.7 7.866 7.844 0.0000 19.4737 10.7910 21.4211 10.6301 0.5678 0.2916 149.7395 1.6202
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.12 8.598 47.545 10.3 8.603 8.581 -0.0001 19.5646 10.9872 21.9124 10.9252 0.5541 0.2829 159.3944 1.5922
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.14 9.299 49.895 10.6 9.303 9.281 -0.0001 19.6400 11.1834 22.3896 11.2062 0.5376 0.2743 167.9473 1.5662
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.16 9.897 52.393 10.9 9.901 9.878 -0.0001 19.7003 11.3796 22.8524 11.4728 0.5304 0.2693 175.6852 1.5471
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.18 10.383 55.959 11.0 10.387 10.364 -0.0001 19.7519 11.5758 23.3072 11.7314 0.5400 0.2699 183.4690 1.5370
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.20 10.780 58.623 11.4 10.785 10.761 -0.0001 19.7927 11.7720 23.7512 11.9792 0.5448 0.2700 189.4694 1.5285
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.22 11.292 62.043 11.8 11.297 11.273 0.0000 19.8432 11.9682 24.2087 12.2405 0.5504 0.2697 197.1945 1.5178
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.24 11.782 65.786 11.8 11.787 11.762 -0.0001 19.8899 12.1644 24.6635 12.4991 0.5593 0.2705 204.9601 1.5093
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.26 12.103 69.963 11.9 12.108 12.083 0.0000 19.9247 12.3606 25.1051 12.7445 0.5790 0.2752 211.4802 1.5087
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.28 12.272 73.633 12.7 12.278 12.252 0.0000 19.9469 12.5568 25.5321 12.9753 0.6010 0.2811 215.9985 1.5123
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.30 12.353 74.923 13.0 12.358 12.332 0.0000 19.9558 12.7530 25.9425 13.1895 0.6075 0.2836 217.4845 1.5132
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.32 12.334 75.408 13.7 12.340 12.314 0.0000 19.9559 12.9492 26.3418 13.3926 0.6124 0.2861 217.3240 1.5158
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.34 12.337 74.820 14.2 12.343 12.317 0.0001 19.9541 13.1454 26.7385 13.5931 0.6075 0.2861 216.4514 1.5148
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.36 12.314 73.723 14.4 12.320 12.293 0.0001 19.9493 13.3416 27.1311 13.7895 0.5997 0.2855 214.9147 1.5134
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.38 12.318 70.393 14.6 12.324 12.297 0.0001 19.9382 13.5378 27.5147 13.9769 0.5725 0.2799 211.7553 1.5050
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.40 12.381 67.165 14.4 12.387 12.359 0.0000 19.9321 13.7340 27.9049 14.1709 0.5434 0.2731 209.2141 1.4945
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.42 12.519 65.149 14.6 12.525 12.498 0.0000 19.9334 13.9302 28.3055 14.3753 0.5213 0.2675 208.4161 1.4843
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.44 12.759 62.575 14.8 12.765 12.737 0.0000 19.9390 14.1264 28.7121 14.5857 0.4913 0.2587 208.0253 1.4688
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.46 13.176 61.168 14.6 13.182 13.153 0.0000 19.9585 14.3226 29.1394 14.8168 0.4651 0.2496 210.2499 1.4505
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.48 13.387 62.468 15.1 13.393 13.364 0.0000 19.9752 14.5188 29.5633 15.0445 0.4675 0.2504 213.1266 1.4472
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.50 13.595 62.525 15.1 13.601 13.571 0.0000 19.9869 14.7150 29.9803 15.2653 0.4607 0.2483 214.8235 1.4406
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.52 13.930 63.519 14.9 13.937 13.907 0.0000 20.0094 14.9112 30.4142 15.5030 0.4568 0.2465 218.5252 1.4324
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.54 14.203 66.689 15.1 14.209 14.178 0.0000 20.0369 15.1074 30.8569 15.7495 0.4704 0.2505 223.5931 1.4325
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.56 14.161 68.592 15.9 14.168 14.137 0.0000 20.0398 15.3036 31.2621 15.9585 0.4852 0.2564 224.6319 1.4394
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.58 13.991 72.540 16.6 13.998 13.967 0.0001 20.0450 15.4998 31.6710 16.1712 0.5194 0.2683 226.0740 1.4560
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.60 13.952 74.008 17.2 13.959 13.928 0.0000 20.0480 15.6960 32.0769 16.3809 0.5314 0.2730 226.5779 1.4617
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.62 14.017 73.772 17.0 14.024 13.992 0.0000 20.0513 15.8922 32.4831 16.5909 0.5273 0.2727 226.6953 1.4593
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.64 14.039 74.270 16.8 14.046 14.013 0.0000 20.0539 16.0884 32.8884 16.8000 0.5300 0.2744 226.9853 1.4604
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.66 14.028 73.398 17.4 14.036 14.003 0.0000 20.0502 16.2846 33.2833 16.9987 0.5242 0.2740 225.9102 1.4588
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.68 14.062 75.740 17.5 14.070 14.037 0.0000 20.0601 16.4808 33.7009 17.2201 0.5396 0.2791 227.7086 1.4644
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.70 14.200 77.041 17.7 14.207 14.174 0.0000 20.0729 16.6770 34.1240 17.4470 0.5436 0.2806 229.6682 1.4636
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.72 14.367 78.592 18.0 14.374 14.340 0.0000 20.0869 16.8732 34.5495 17.6763 0.5481 0.2820 232.0857 1.4625
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.74 14.492 82.171 18.4 14.500 14.466 0.0001 20.1058 17.0694 34.9841 17.9147 0.5681 0.2876 235.5175 1.4680
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.76 14.641 85.061 18.5 14.649 14.614 0.0001 20.1233 17.2656 35.4171 18.1515 0.5821 0.2915 238.6111 1.4708
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.78 14.891 88.163 18.7 14.899 14.864 0.0000 20.1474 17.4618 35.8625 18.4007 0.5932 0.2940 242.7829 1.4708
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.80 15.179 89.238 18.8 15.187 15.151 0.0000 20.1656 17.6580 36.2980 18.6400 0.5890 0.2926 245.9571 1.4645
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.82 15.485 90.397 18.6 15.493 15.457 0.0000 20.1844 17.8542 36.7357 18.8815 0.5849 0.2911 249.3566 1.4581
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.84 15.789 91.335 18.9 15.797 15.761 0.0000 20.2022 18.0504 37.1720 19.1216 0.5795 0.2894 252.5834 1.4513
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.86 15.922 93.060 19.1 15.930 15.893 0.0000 20.2136 18.2466 37.5972 19.3506 0.5856 0.2913 254.6259 1.4518
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.88 15.972 95.666 19.3 15.980 15.943 0.0000 20.2237 18.4428 38.0205 19.5777 0.6001 0.2956 256.3731 1.4569
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.90 16.010 97.585 19.4 16.018 15.980 0.0000 20.2314 18.6390 38.4396 19.8006 0.6107 0.2990 257.5260 1.4607
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.92 16.026 99.242 20.4 16.034 15.996 0.0001 20.2376 18.8352 38.8562 20.0210 0.6205 0.3022 258.2658 1.4645
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.94 15.981 99.195 20.8 15.990 15.952 0.0001 20.2342 19.0314 39.2543 20.2229 0.6219 0.3037 257.3780 1.4663
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.96 15.783 98.169 21.0 15.791 15.753 0.0001 20.2209 19.2276 39.6329 20.4053 0.6232 0.3058 254.3497 1.4707
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.98 15.486 94.687 21.2 15.494 15.455 0.0001 20.1947 19.4238 39.9855 20.5617 0.6127 0.3057 248.9104 1.4724
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 2.00 15.054 91.106 21.9 15.063 15.024 0.0001 20.1604 19.6200 40.3209 20.7009 0.6065 0.3073 242.0752 1.4782

3.2.6 Plots of corrected parameters

Below some plots of these new and corrected parameters.

Fr

ggplot(data_corr, aes(Fr, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(0, 10), ylim = c(80, 0)) +
  labs(x = "Fr (%)")
_Plot of `Fr` vs depth._

Plot of Fr vs depth.

Ic

ggplot(data_corr, aes(Ic, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(1, 4), ylim = c(80, 0)) +
  labs(x = "Ic (-)")
_Plot of `Ic` vs depth._

Plot of Ic vs depth.

Qtn

ggplot(data_corr, aes(Qtn, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(1, 1000), ylim = c(80, 0)) +
  scale_x_log10(breaks = c(1, 10, 100, 1000)) +
  labs(x = "Qtn (-)")
_Plot of `Qtn` vs depth._

Plot of Qtn vs depth.

Unit weight

ggplot(data_corr, aes(UW, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1) +
  scale_y_reverse() +
  facet_wrap(~TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(16, 24), ylim = c(80, 0)) +
  labs(x = "Unit weight (kN/m3)")
_Plot of `unit weight` vs depth._

Plot of unit weight vs depth.

3.3 SCPT measurements

Measurements of share wave velocity Vs and shear modulus at small strain Gmax are obtained from seismic CPTU tests, performed both in seabed (SCPT) and down-hole CPTU tests (BH). Vs is derived from dual array geophones while Gmax is derived from Vs, using well-known theoretical relationships. SCPT measurements are provided in separated XLSX files, one file for each test point (see the following image).

The list of these XLSX files is as follows:

list_XLSX <- list.files(pattern = ".xlsx")

# table
func_tbl(as_tibble_col(list_XLSX, column_name = "XLSX file name"))
XLSX file name
HKN_20190221_FNLM_HKN02-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN06-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN10-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN14-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN14-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN21-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN21-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN25-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN26-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN27-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN31-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN36-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN38-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN41-SCPT-D_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN47-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN47-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN48-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN48-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN56-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN56-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN58-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN65-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN67-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN70-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN72-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN72-SCPT_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN75-SCPT-A_XLSX_V04_F.xlsx
HKN_20190221_FNLM_HKN75-SCPT_XLSX_V04_F.xlsx
HKN_20190306_FNLM_HKN02-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN28-BH-SC_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN33-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN39-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN47-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN47A-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN48A-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN67-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN70-BH-SA_XLSX_V05_F.xlsx
HKN_20190306_FNLM_HKN75-BH-SA_XLSX_V05_F.xlsx


The following code reads the listed XLSX files, cleans the data a little bit and then merges them together into one data frame that includes all seismic measurements. Seismic measurements involve a vertical depth of 0.5m, i.e. the difference between FROM and TO is 0.5m. I created a new depth parameter, which coincides with the middle point between FROM and TO, and named it SCPT_DPTH. Further, I have extracted the LOCA_ID from the file names and inserted it in a column. These data manipulations, will allow us to easily merge seismic data to other data.

data_seis <- 
  map(
  list_XLSX, ~ read_xlsx(.x, skip = 1) %>%
    mutate(LOCA_ID = basename(.x)) %>%
    dplyr::slice(-1)
) %>%
  bind_rows() %>%
  select(LOCA_ID, !LOCA_ID) %>%
  mutate(
    across(From:Gmax, as.double),
    across(is.double, round, 4)
  ) %>%
  # rename
  rename(
    FROM = From,
    TO = To,
    Vs = vs
  ) %>%
  # insert test point name
  mutate(
    LOCA_ID = stringr::str_remove(LOCA_ID, "HKN_20190221_FNLM_"),
    LOCA_ID = stringr::str_remove(LOCA_ID, "_XLSX_V04_F.xlsx"),
    LOCA_ID = stringr::str_remove(LOCA_ID, "HKN_20190306_FNLM_"),
    LOCA_ID = stringr::str_remove(LOCA_ID, "_XLSX_V05_F.xlsx")
  ) %>%
  mutate(across(LOCA_ID, as.factor)) %>%
  # new mean depth
  mutate(SCPT_DPTH = (FROM + TO) / 2) %>%
  mutate(across(SCPT_DPTH, round, 1)) %>%
  select(-(FROM:TO)) %>%
  mutate(LOCATION = stringr::str_extract(LOCA_ID, "HKN..")) %>%
  mutate(
    TYPE = case_when(
      str_detect(LOCA_ID, "PCPT") ~ "PCPT",
      str_detect(LOCA_ID, "TCPT") ~ "TCPT",
      str_detect(LOCA_ID, "SCPT") ~ "SCPT",
      str_detect(LOCA_ID, "BH") ~ "BH"
    )
  )

# table
func_tbl(data_seis)
LOCA_ID Vs Gmax SCPT_DPTH LOCATION TYPE
HKN02-SCPT-A 170.7400 59.4335 1.5 HKN02 SCPT
HKN02-SCPT-A 109.2803 24.3470 2.5 HKN02 SCPT
HKN02-SCPT-A 184.2541 69.2142 3.5 HKN02 SCPT
HKN02-SCPT-A 189.2160 72.9922 4.5 HKN02 SCPT
HKN02-SCPT-A 207.8951 88.1149 5.5 HKN02 SCPT
HKN02-SCPT-A 253.7453 131.2674 6.5 HKN02 SCPT
HKN02-SCPT-A 220.1592 98.8177 7.5 HKN02 SCPT
HKN02-SCPT-A 231.0083 108.7968 8.5 HKN02 SCPT
HKN02-SCPT-A 220.7359 99.3361 9.5 HKN02 SCPT
HKN02-SCPT-A 243.3443 120.7267 10.5 HKN02 SCPT
HKN02-SCPT-A 256.3219 133.9468 11.5 HKN02 SCPT
HKN02-SCPT-A 256.6536 134.2937 12.5 HKN02 SCPT
HKN02-SCPT-A 362.4500 267.8288 13.5 HKN02 SCPT
HKN02-SCPT-A 305.8900 190.7619 14.5 HKN02 SCPT
HKN02-SCPT-A 273.4700 152.4686 15.5 HKN02 SCPT
HKN02-SCPT-A 328.5900 220.1252 16.5 HKN02 SCPT
HKN02-SCPT-A 376.6600 289.2411 17.5 HKN02 SCPT
HKN02-SCPT-A 315.9500 203.5156 18.6 HKN02 SCPT
HKN02-SCPT-A 279.8700 159.6885 19.5 HKN02 SCPT
HKN02-SCPT-A 349.5239 249.0662 21.0 HKN02 SCPT
HKN02-SCPT-A 349.9100 249.6167 22.4 HKN02 SCPT
HKN02-SCPT-A 344.9900 242.6465 23.1 HKN02 SCPT
HKN06-SCPT 129.7083 34.3002 1.5 HKN06 SCPT
HKN06-SCPT 182.6664 68.0265 2.5 HKN06 SCPT
HKN06-SCPT 209.3744 89.3734 3.5 HKN06 SCPT
HKN06-SCPT 277.1743 156.6271 4.5 HKN06 SCPT
HKN06-SCPT 170.6314 59.3580 5.5 HKN06 SCPT
HKN06-SCPT 178.2672 64.7894 6.5 HKN06 SCPT
HKN06-SCPT 201.6812 82.9262 7.5 HKN06 SCPT
HKN06-SCPT 220.4032 99.0368 8.5 HKN06 SCPT
HKN06-SCPT 231.3823 109.1494 9.5 HKN06 SCPT
HKN06-SCPT 221.3147 99.8577 10.5 HKN06 SCPT
HKN06-SCPT 221.4046 99.9389 11.5 HKN06 SCPT
HKN06-SCPT 232.4317 110.1417 12.5 HKN06 SCPT
HKN06-SCPT 232.5124 110.2182 13.5 HKN06 SCPT
HKN06-SCPT 232.5023 110.2086 14.5 HKN06 SCPT
HKN06-SCPT 325.1354 215.5209 15.5 HKN06 SCPT
HKN06-SCPT 325.8454 216.4633 16.5 HKN06 SCPT
HKN06-SCPT 222.4537 100.8882 17.5 HKN06 SCPT
HKN06-SCPT 276.6800 156.0690 18.5 HKN06 SCPT
HKN06-SCPT 376.2266 288.5758 19.5 HKN06 SCPT
HKN06-SCPT 376.1999 288.5349 21.0 HKN06 SCPT
HKN06-SCPT 444.6285 403.0469 22.4 HKN06 SCPT
HKN10-SCPT 155.1800 49.0945 1.5 HKN10 SCPT
HKN10-SCPT 150.0400 45.8960 2.5 HKN10 SCPT
HKN10-SCPT 175.4500 62.7578 3.5 HKN10 SCPT
HKN10-SCPT 188.6365 72.5458 4.5 HKN10 SCPT
HKN10-SCPT 186.4800 70.8966 5.5 HKN10 SCPT
HKN10-SCPT 187.7800 71.8885 6.5 HKN10 SCPT
HKN10-SCPT 241.6486 119.0501 7.5 HKN10 SCPT
HKN10-SCPT 197.5500 79.5637 8.5 HKN10 SCPT
HKN10-SCPT 288.9900 170.2655 9.5 HKN10 SCPT
HKN10-SCPT 332.4600 225.3408 10.5 HKN10 SCPT
HKN10-SCPT 277.8200 157.3577 11.5 HKN10 SCPT
HKN10-SCPT 268.7600 147.2619 12.5 HKN10 SCPT
HKN10-SCPT 330.6100 222.8399 13.5 HKN10 SCPT
HKN10-SCPT 244.1281 121.5056 14.5 HKN10 SCPT
HKN10-SCPT 287.9500 169.0422 15.5 HKN10 SCPT
HKN10-SCPT 288.0000 169.1009 16.5 HKN10 SCPT
HKN10-SCPT 272.0400 150.8782 17.5 HKN10 SCPT
HKN10-SCPT 222.2397 100.6942 18.5 HKN10 SCPT
HKN10-SCPT 257.4482 135.1266 19.5 HKN10 SCPT
HKN10-SCPT 271.8811 150.7020 21.0 HKN10 SCPT
HKN10-SCPT 271.9551 150.7841 22.5 HKN10 SCPT
HKN10-SCPT 318.1300 206.3337 24.0 HKN10 SCPT
HKN10-SCPT 233.1291 110.8037 25.5 HKN10 SCPT
HKN10-SCPT 308.1600 193.6036 27.0 HKN10 SCPT
HKN10-SCPT 272.0496 150.8889 28.5 HKN10 SCPT
HKN10-SCPT 316.1400 203.7604 30.0 HKN10 SCPT
HKN10-SCPT 352.5400 253.3832 31.5 HKN10 SCPT
HKN10-SCPT 333.3600 226.5625 33.0 HKN10 SCPT
HKN10-SCPT 300.6500 184.2822 34.5 HKN10 SCPT
HKN10-SCPT 318.2300 206.4635 36.0 HKN10 SCPT
HKN10-SCPT 291.7100 173.4857 37.5 HKN10 SCPT
HKN10-SCPT 357.7300 260.8986 39.0 HKN10 SCPT
HKN10-SCPT 368.4900 276.8295 40.4 HKN10 SCPT
HKN10-SCPT 360.3700 264.7636 42.0 HKN10 SCPT
HKN10-SCPT 349.7312 249.3616 43.5 HKN10 SCPT
HKN14-SCPT-A 199.8000 81.3864 15.5 HKN14 SCPT
HKN14-SCPT-A 305.0744 189.7460 16.5 HKN14 SCPT
HKN14-SCPT-A 271.9469 150.7750 17.5 HKN14 SCPT
HKN14-SCPT-A 287.9076 168.9925 18.5 HKN14 SCPT
HKN14-SCPT-A 305.8036 190.6542 19.5 HKN14 SCPT
HKN14-SCPT-A 349.5719 249.1346 21.0 HKN14 SCPT
HKN14-SCPT-A 326.5361 217.3819 22.5 HKN14 SCPT
HKN14-SCPT-A 349.5966 249.1697 24.0 HKN14 SCPT
HKN14-SCPT-A 306.0338 190.9413 25.5 HKN14 SCPT
HKN14-SCPT-A 326.5178 217.3576 27.0 HKN14 SCPT
HKN14-SCPT-A 349.6355 249.2252 27.8 HKN14 SCPT
HKN14-SCPT 125.0500 31.8807 1.5 HKN14 SCPT
HKN14-SCPT 167.9124 57.4813 2.5 HKN14 SCPT
HKN14-SCPT 198.0200 79.9428 3.5 HKN14 SCPT
HKN14-SCPT 174.8770 62.3486 4.5 HKN14 SCPT
HKN14-SCPT 208.0004 88.2042 5.5 HKN14 SCPT
HKN14-SCPT 185.2193 69.9413 6.5 HKN14 SCPT
HKN14-SCPT 215.6200 94.7849 7.5 HKN14 SCPT
HKN14-SCPT 194.0141 76.7410 8.5 HKN14 SCPT
HKN14-SCPT 220.9404 99.5202 9.5 HKN14 SCPT
HKN14-SCPT 256.0231 133.6348 10.5 HKN14 SCPT
HKN14-SCPT 270.7683 149.4708 11.5 HKN14 SCPT
HKN14-SCPT 243.3600 120.7423 12.5 HKN14 SCPT
HKN14-SCPT 236.3800 113.9154 13.5 HKN14 SCPT
HKN14-SCPT 271.3395 150.1022 14.5 HKN14 SCPT
HKN14-SCPT 257.2031 134.8694 15.5 HKN14 SCPT
HKN21-SCPT-A 272.0937 150.9378 30.0 HKN21 SCPT
HKN21-SCPT-A 287.7125 168.7635 31.5 HKN21 SCPT
HKN21-SCPT-A 233.4245 111.0846 33.0 HKN21 SCPT
HKN21-SCPT-A 306.0050 190.9054 34.5 HKN21 SCPT
HKN21-SCPT-A 376.7846 289.4326 36.0 HKN21 SCPT
HKN21-SCPT-A 306.1110 191.0376 37.5 HKN21 SCPT
HKN21-SCPT-A 272.1906 151.0453 39.0 HKN21 SCPT
HKN21-SCPT-A 272.1390 150.9881 40.5 HKN21 SCPT
HKN21-SCPT-A 349.8771 249.5698 42.0 HKN21 SCPT
HKN21-SCPT-A 352.6000 253.4694 43.5 HKN21 SCPT
HKN21-SCPT-A 382.9000 298.9040 45.0 HKN21 SCPT
HKN21-SCPT-A 363.0500 268.7162 46.5 HKN21 SCPT
HKN21-SCPT-A 408.3521 339.9621 48.0 HKN21 SCPT
HKN21-SCPT-A 326.4308 217.2417 49.5 HKN21 SCPT
HKN21-SCPT-A 392.1100 313.4562 51.0 HKN21 SCPT
HKN21-SCPT-A 326.8207 217.7610 52.5 HKN21 SCPT
HKN21-SCPT 218.6900 97.5032 1.5 HKN21 SCPT
HKN21-SCPT 232.8200 110.5100 2.5 HKN21 SCPT
HKN21-SCPT 221.9800 100.4590 3.5 HKN21 SCPT
HKN21-SCPT 234.1100 111.7380 4.5 HKN21 SCPT
HKN21-SCPT 238.9585 116.4142 5.5 HKN21 SCPT
HKN21-SCPT 241.3223 118.7287 6.5 HKN21 SCPT
HKN21-SCPT 264.8600 143.0190 7.5 HKN21 SCPT
HKN21-SCPT 259.5400 137.3313 8.5 HKN21 SCPT
HKN21-SCPT 265.4300 143.6352 9.5 HKN21 SCPT
HKN21-SCPT 280.8700 160.8317 10.5 HKN21 SCPT
HKN21-SCPT 246.9500 124.3309 11.5 HKN21 SCPT
HKN21-SCPT 264.4100 142.5334 12.5 HKN21 SCPT
HKN21-SCPT 236.3800 113.9154 13.5 HKN21 SCPT
HKN21-SCPT 253.5900 131.1068 14.5 HKN21 SCPT
HKN21-SCPT 212.5787 92.1298 15.5 HKN21 SCPT
HKN21-SCPT 257.3469 135.0202 16.5 HKN21 SCPT
HKN21-SCPT 232.9873 110.6689 17.5 HKN21 SCPT
HKN21-SCPT 260.4900 138.3385 18.5 HKN21 SCPT
HKN21-SCPT 222.2228 100.6789 19.5 HKN21 SCPT
HKN21-SCPT 244.4594 121.8357 21.0 HKN21 SCPT
HKN21-SCPT 306.2398 191.1984 22.5 HKN21 SCPT
HKN21-SCPT 305.7174 190.5466 24.0 HKN21 SCPT
HKN21-SCPT 222.7106 101.1214 25.5 HKN21 SCPT
HKN21-SCPT 257.8042 135.5005 27.0 HKN21 SCPT
HKN21-SCPT 287.9408 169.0314 28.5 HKN21 SCPT
HKN21-SCPT 264.8700 143.0298 30.0 HKN21 SCPT
HKN21-SCPT 275.3000 154.5160 31.5 HKN21 SCPT
HKN25-SCPT 221.1730 99.7299 1.5 HKN25 SCPT
HKN25-SCPT 243.7041 121.0839 2.5 HKN25 SCPT
HKN25-SCPT 200.2730 81.7722 3.5 HKN25 SCPT
HKN25-SCPT 204.8123 85.5211 4.5 HKN25 SCPT
HKN25-SCPT 183.8157 68.8852 5.5 HKN25 SCPT
HKN25-SCPT 209.3736 89.3727 6.5 HKN25 SCPT
HKN25-SCPT 191.1000 74.4530 7.5 HKN25 SCPT
HKN25-SCPT 202.0605 83.2384 8.5 HKN25 SCPT
HKN25-SCPT 161.9075 53.4435 9.5 HKN25 SCPT
HKN25-SCPT 231.3275 109.0977 10.5 HKN25 SCPT
HKN25-SCPT 216.3600 95.4366 11.5 HKN25 SCPT
HKN25-SCPT 195.1305 77.6267 12.2 HKN25 SCPT
HKN25-SCPT 166.4805 56.5051 12.5 HKN25 SCPT
HKN25-SCPT 198.9000 80.6549 13.5 HKN25 SCPT
HKN25-SCPT 187.8539 71.9451 14.5 HKN25 SCPT
HKN25-SCPT 215.6500 94.8113 15.5 HKN25 SCPT
HKN25-SCPT 222.1981 100.6564 16.5 HKN25 SCPT
HKN25-SCPT 287.6468 168.6864 17.5 HKN25 SCPT
HKN25-SCPT 287.7090 168.7593 18.5 HKN25 SCPT
HKN25-SCPT 244.5323 121.9083 19.5 HKN25 SCPT
HKN25-SCPT 212.8523 92.3672 21.0 HKN25 SCPT
HKN25-SCPT 195.6419 78.0342 22.5 HKN25 SCPT
HKN25-SCPT 220.6800 99.2858 24.0 HKN25 SCPT
HKN25-SCPT 257.7328 135.4255 25.5 HKN25 SCPT
HKN25-SCPT 342.6400 239.3520 27.0 HKN25 SCPT
HKN25-SCPT 306.0711 190.9878 28.5 HKN25 SCPT
HKN25-SCPT 331.0900 223.4874 30.0 HKN25 SCPT
HKN25-SCPT 342.6800 239.4079 31.4 HKN25 SCPT
HKN25-SCPT 349.8830 249.5782 32.9 HKN25 SCPT
HKN25-SCPT 376.7693 289.4090 34.5 HKN25 SCPT
HKN25-SCPT 342.7100 239.4498 36.0 HKN25 SCPT
HKN25-SCPT 335.6700 229.7132 37.0 HKN25 SCPT
HKN26-SCPT 116.8190 27.8220 1.5 HKN26 SCPT
HKN26-SCPT 181.8033 67.3852 2.5 HKN26 SCPT
HKN26-SCPT 144.2496 42.4219 3.5 HKN26 SCPT
HKN26-SCPT 165.1600 55.6123 4.5 HKN26 SCPT
HKN26-SCPT 183.6943 68.7943 5.5 HKN26 SCPT
HKN26-SCPT 200.4729 81.9356 6.5 HKN26 SCPT
HKN26-SCPT 178.5006 64.9591 7.5 HKN26 SCPT
HKN26-SCPT 231.0663 108.8514 8.5 HKN26 SCPT
HKN26-SCPT 286.0617 166.8324 9.5 HKN26 SCPT
HKN26-SCPT 256.1374 133.7541 10.5 HKN26 SCPT
HKN26-SCPT 245.7100 123.0854 11.5 HKN26 SCPT
HKN26-SCPT 221.7457 100.2470 12.5 HKN26 SCPT
HKN26-SCPT 244.6500 122.0257 13.5 HKN26 SCPT
HKN26-SCPT 256.9958 134.6520 14.5 HKN26 SCPT
HKN26-SCPT 273.4700 152.4686 15.5 HKN26 SCPT
HKN26-SCPT 287.5079 168.5235 16.5 HKN26 SCPT
HKN26-SCPT 298.5700 181.7412 17.5 HKN26 SCPT
HKN26-SCPT 287.6919 168.7393 18.5 HKN26 SCPT
HKN26-SCPT 287.5811 168.6093 19.5 HKN26 SCPT
HKN26-SCPT 287.7934 168.8584 21.0 HKN26 SCPT
HKN26-SCPT 326.1828 216.9117 22.5 HKN26 SCPT
HKN27-SCPT 256.3300 133.9553 1.5 HKN27 SCPT
HKN27-SCPT 242.4941 119.8845 2.5 HKN27 SCPT
HKN27-SCPT 230.1163 107.9582 3.5 HKN27 SCPT
HKN27-SCPT 220.2000 98.8543 4.5 HKN27 SCPT
HKN27-SCPT 208.9900 89.0455 5.5 HKN27 SCPT
HKN27-SCPT 231.6000 109.3549 6.5 HKN27 SCPT
HKN27-SCPT 229.0952 107.0022 7.5 HKN27 SCPT
HKN27-SCPT 219.7746 98.4727 8.5 HKN27 SCPT
HKN27-SCPT 219.0100 97.7887 9.5 HKN27 SCPT
HKN27-SCPT 220.8467 99.4358 10.5 HKN27 SCPT
HKN27-SCPT 226.3700 104.4717 11.5 HKN27 SCPT
HKN27-SCPT 221.5691 100.0874 12.5 HKN27 SCPT
HKN27-SCPT 232.2144 109.9358 13.5 HKN27 SCPT
HKN27-SCPT 245.9400 123.3160 14.5 HKN27 SCPT
HKN27-SCPT 244.1967 121.5740 15.5 HKN27 SCPT
HKN27-SCPT 251.0800 128.5243 16.5 HKN27 SCPT
HKN27-SCPT 244.4330 121.8094 17.5 HKN27 SCPT
HKN27-SCPT 244.6150 121.9908 18.5 HKN27 SCPT
HKN27-SCPT 244.7829 122.1584 19.5 HKN27 SCPT
HKN27-SCPT 257.5565 135.2403 21.0 HKN27 SCPT
HKN27-SCPT 287.6990 168.7476 22.8 HKN27 SCPT
HKN31-SCPT 250.3084 127.7356 1.5 HKN31 SCPT
HKN31-SCPT 271.4994 150.2792 2.5 HKN31 SCPT
HKN31-SCPT 230.1628 108.0018 3.5 HKN31 SCPT
HKN31-SCPT 197.0622 79.1713 4.5 HKN31 SCPT
HKN31-SCPT 227.0924 105.1396 5.5 HKN31 SCPT
HKN31-SCPT 229.4609 107.3442 6.5 HKN31 SCPT
HKN31-SCPT 210.1168 90.0083 7.5 HKN31 SCPT
HKN31-SCPT 243.1723 120.5561 9.5 HKN31 SCPT
HKN31-SCPT 202.7256 83.7873 10.5 HKN31 SCPT
HKN31-SCPT 256.4853 134.1177 11.5 HKN31 SCPT
HKN31-SCPT 271.0237 149.7530 12.5 HKN31 SCPT
HKN31-SCPT 257.0148 134.6720 13.5 HKN31 SCPT
HKN31-SCPT 222.0237 100.4986 14.5 HKN31 SCPT
HKN31-SCPT 271.2683 150.0235 15.5 HKN31 SCPT
HKN36-SCPT 184.7600 69.5948 1.5 HKN36 SCPT
HKN36-SCPT 231.4797 109.2413 2.5 HKN36 SCPT
HKN36-SCPT 219.6334 98.3462 3.5 HKN36 SCPT
HKN36-SCPT 186.9300 71.2392 4.5 HKN36 SCPT
HKN36-SCPT 217.2385 96.2132 5.5 HKN36 SCPT
HKN36-SCPT 219.0800 97.8513 6.5 HKN36 SCPT
HKN36-SCPT 233.1600 110.8330 7.5 HKN36 SCPT
HKN36-SCPT 255.4700 133.0579 8.5 HKN36 SCPT
HKN36-SCPT 231.4700 109.2321 9.5 HKN36 SCPT
HKN36-SCPT 246.8300 124.2101 10.5 HKN36 SCPT
HKN36-SCPT 262.8800 140.8887 11.5 HKN36 SCPT
HKN36-SCPT 313.5600 200.4483 12.5 HKN36 SCPT
HKN36-SCPT 244.0265 121.4045 13.5 HKN36 SCPT
HKN36-SCPT 258.9500 136.7077 14.5 HKN36 SCPT
HKN36-SCPT 254.9600 132.5272 15.5 HKN36 SCPT
HKN36-SCPT 273.5200 152.5243 16.5 HKN36 SCPT
HKN36-SCPT 284.6900 165.2363 17.5 HKN36 SCPT
HKN36-SCPT 275.1200 154.3140 18.5 HKN36 SCPT
HKN36-SCPT 286.4100 167.2389 19.5 HKN36 SCPT
HKN36-SCPT 287.6549 168.6959 21.0 HKN36 SCPT
HKN36-SCPT 287.7757 168.8376 21.6 HKN36 SCPT
HKN38-SCPT 158.7675 51.3907 1.5 HKN38 SCPT
HKN38-SCPT 183.0788 68.3340 2.5 HKN38 SCPT
HKN38-SCPT 183.9716 69.0022 3.5 HKN38 SCPT
HKN38-SCPT 189.1378 72.9319 4.5 HKN38 SCPT
HKN38-SCPT 171.1179 59.6969 5.5 HKN38 SCPT
HKN38-SCPT 218.5188 97.3506 6.5 HKN38 SCPT
HKN38-SCPT 229.9444 107.7970 7.5 HKN38 SCPT
HKN38-SCPT 231.3695 109.1373 8.5 HKN38 SCPT
HKN38-SCPT 255.8325 133.4358 9.5 HKN38 SCPT
HKN38-SCPT 231.6077 109.3621 10.5 HKN38 SCPT
HKN38-SCPT 286.6829 167.5578 11.5 HKN38 SCPT
HKN38-SCPT 256.6787 134.3200 12.5 HKN38 SCPT
HKN38-SCPT 287.1650 168.1218 13.5 HKN38 SCPT
HKN38-SCPT 305.2174 189.9239 14.5 HKN38 SCPT
HKN38-SCPT 305.4077 190.1608 15.5 HKN38 SCPT
HKN38-SCPT 325.8330 216.4468 16.1 HKN38 SCPT
HKN41-SCPT-D 163.3900 54.4267 1.5 HKN41 SCPT
HKN41-SCPT-D 134.1100 36.6677 2.5 HKN41 SCPT
HKN41-SCPT-D 158.0400 50.9208 3.5 HKN41 SCPT
HKN41-SCPT-D 158.6400 51.3082 4.5 HKN41 SCPT
HKN41-SCPT-D 208.0900 88.2802 5.5 HKN41 SCPT
HKN41-SCPT-D 194.5400 77.1576 6.5 HKN41 SCPT
HKN41-SCPT-D 229.8600 107.7179 7.5 HKN41 SCPT
HKN41-SCPT-D 226.9500 105.0078 8.5 HKN41 SCPT
HKN41-SCPT-D 211.4400 91.1455 9.6 HKN41 SCPT
HKN41-SCPT-D 219.1700 97.9317 10.6 HKN41 SCPT
HKN41-SCPT-D 223.2700 101.6300 11.5 HKN41 SCPT
HKN41-SCPT-D 223.3600 101.7119 12.5 HKN41 SCPT
HKN41-SCPT-D 220.4100 99.0430 13.5 HKN41 SCPT
HKN41-SCPT-D 229.7700 107.6335 14.5 HKN41 SCPT
HKN41-SCPT-D 270.4500 149.1197 15.5 HKN41 SCPT
HKN41-SCPT-D 259.0500 136.8133 16.5 HKN41 SCPT
HKN41-SCPT-D 236.5500 114.0793 17.5 HKN41 SCPT
HKN41-SCPT-D 269.0800 147.6127 18.5 HKN41 SCPT
HKN41-SCPT-D 283.1000 163.3957 19.5 HKN41 SCPT
HKN41-SCPT-D 224.6800 102.9176 20.5 HKN41 SCPT
HKN41-SCPT-D 330.9900 223.3525 22.0 HKN41 SCPT
HKN41-SCPT-D 234.4000 112.0150 23.5 HKN41 SCPT
HKN41-SCPT-D 296.9300 179.7501 25.0 HKN41 SCPT
HKN41-SCPT-D 324.4800 214.6529 26.4 HKN41 SCPT
HKN41-SCPT-D 275.2700 154.4823 28.0 HKN41 SCPT
HKN41-SCPT-D 278.4100 158.0268 29.5 HKN41 SCPT
HKN47-SCPT-A 220.4324 99.0631 1.5 HKN47 SCPT
HKN47-SCPT-A 241.2200 118.6281 2.5 HKN47 SCPT
HKN47-SCPT-A 238.6100 116.0749 3.5 HKN47 SCPT
HKN47-SCPT-A 270.9200 149.6384 4.5 HKN47 SCPT
HKN47-SCPT-A 265.6222 143.8433 5.5 HKN47 SCPT
HKN47-SCPT 262.8400 140.8458 1.5 HKN47 SCPT
HKN47-SCPT 243.1937 120.5773 2.5 HKN47 SCPT
HKN48-SCPT-A 126.0100 32.3721 1.5 HKN48 SCPT
HKN48-SCPT-A 193.1500 76.0590 2.5 HKN48 SCPT
HKN48-SCPT-A 198.0300 79.9508 3.5 HKN48 SCPT
HKN48-SCPT-A 201.7800 83.0075 4.5 HKN48 SCPT
HKN48-SCPT-A 216.3811 95.4552 5.5 HKN48 SCPT
HKN48-SCPT-A 200.2250 81.7330 6.5 HKN48 SCPT
HKN48-SCPT-A 297.1400 180.0044 7.5 HKN48 SCPT
HKN48-SCPT-A 269.5800 148.1618 8.5 HKN48 SCPT
HKN48-SCPT-A 285.9639 166.7184 9.4 HKN48 SCPT
HKN48-SCPT-A 270.4212 149.0879 10.5 HKN48 SCPT
HKN48-SCPT-A 304.7291 189.3167 11.5 HKN48 SCPT
HKN48-SCPT-A 221.5666 100.0851 12.5 HKN48 SCPT
HKN48-SCPT-A 287.8200 168.8896 13.5 HKN48 SCPT
HKN48-SCPT-A 232.5155 110.2211 14.5 HKN48 SCPT
HKN48-SCPT-A 203.4759 84.4087 15.5 HKN48 SCPT
HKN48-SCPT-A 221.9166 100.4016 16.5 HKN48 SCPT
HKN48-SCPT-A 202.3400 83.4689 17.5 HKN48 SCPT
HKN48-SCPT-A 218.6300 97.4497 18.5 HKN48 SCPT
HKN48-SCPT-A 203.8213 84.6955 19.5 HKN48 SCPT
HKN48-SCPT-A 257.8000 135.4961 21.0 HKN48 SCPT
HKN48-SCPT-A 233.1052 110.7809 22.5 HKN48 SCPT
HKN48-SCPT-A 270.6600 149.3513 23.4 HKN48 SCPT
HKN48-SCPT 218.4678 97.3052 1.5 HKN48 SCPT
HKN48-SCPT 182.7839 68.1141 2.5 HKN48 SCPT
HKN48-SCPT 209.7574 89.7006 3.5 HKN48 SCPT
HKN48-SCPT 181.1614 66.9102 4.5 HKN48 SCPT
HKN48-SCPT 217.7990 96.7103 5.5 HKN48 SCPT
HKN48-SCPT 218.7711 97.5755 6.5 HKN48 SCPT
HKN48-SCPT 269.0828 147.6158 7.5 HKN48 SCPT
HKN48-SCPT 255.3969 132.9818 8.5 HKN48 SCPT
HKN56-SCPT-A 328.8700 220.5005 30.0 HKN56 SCPT
HKN56-SCPT-A 324.5200 214.7059 31.5 HKN56 SCPT
HKN56-SCPT-A 357.7000 260.8548 33.0 HKN56 SCPT
HKN56-SCPT-A 324.5400 214.7323 34.5 HKN56 SCPT
HKN56-SCPT-A 333.3800 226.5897 36.0 HKN56 SCPT
HKN56-SCPT-A 352.5800 253.4407 37.5 HKN56 SCPT
HKN56-SCPT-A 376.9900 289.7481 39.0 HKN56 SCPT
HKN56-SCPT-A 374.1200 285.3533 40.5 HKN56 SCPT
HKN56-SCPT-A 352.5900 253.4551 42.0 HKN56 SCPT
HKN56-SCPT-A 408.4200 340.0752 42.9 HKN56 SCPT
HKN56-SCPT 179.2991 65.5416 1.5 HKN56 SCPT
HKN56-SCPT 189.4297 73.1572 2.5 HKN56 SCPT
HKN56-SCPT 184.8280 69.6460 3.5 HKN56 SCPT
HKN56-SCPT 188.4267 72.3845 4.5 HKN56 SCPT
HKN56-SCPT 217.2813 96.2511 5.5 HKN56 SCPT
HKN56-SCPT 218.5936 97.4172 6.5 HKN56 SCPT
HKN56-SCPT 241.5384 118.9415 7.5 HKN56 SCPT
HKN56-SCPT 231.0735 108.8583 8.5 HKN56 SCPT
HKN56-SCPT 231.1085 108.8912 9.5 HKN56 SCPT
HKN56-SCPT 211.6606 91.3358 10.5 HKN56 SCPT
HKN56-SCPT 221.8363 100.3290 11.5 HKN56 SCPT
HKN56-SCPT 221.7396 100.2415 12.5 HKN56 SCPT
HKN56-SCPT 232.3988 110.1105 13.5 HKN56 SCPT
HKN56-SCPT 244.2032 121.5804 14.5 HKN56 SCPT
HKN56-SCPT 257.3612 135.0352 15.5 HKN56 SCPT
HKN56-SCPT 257.1800 134.8451 16.5 HKN56 SCPT
HKN56-SCPT 257.1642 134.8286 17.5 HKN56 SCPT
HKN56-SCPT 271.6792 150.4782 18.5 HKN56 SCPT
HKN56-SCPT 264.7400 142.8894 19.5 HKN56 SCPT
HKN56-SCPT 260.5500 138.4022 21.0 HKN56 SCPT
HKN56-SCPT 257.6533 135.3420 22.5 HKN56 SCPT
HKN56-SCPT 264.8200 142.9758 24.0 HKN56 SCPT
HKN56-SCPT 286.5200 167.3674 25.5 HKN56 SCPT
HKN56-SCPT 306.0116 190.9135 27.0 HKN56 SCPT
HKN56-SCPT 291.6600 173.4262 28.5 HKN56 SCPT
HKN56-SCPT 288.0665 169.1790 30.0 HKN56 SCPT
HKN58-SCPT 308.0000 193.4027 1.4 HKN58 SCPT
HKN58-SCPT 321.0700 210.1650 2.5 HKN58 SCPT
HKN58-SCPT 302.4600 186.5078 3.6 HKN58 SCPT
HKN58-SCPT 317.2800 205.2326 4.5 HKN58 SCPT
HKN58-SCPT 292.0800 173.9260 5.5 HKN58 SCPT
HKN58-SCPT 276.3400 155.6856 6.5 HKN58 SCPT
HKN58-SCPT 284.9700 165.5615 7.5 HKN58 SCPT
HKN58-SCPT 274.1300 153.2054 8.5 HKN58 SCPT
HKN58-SCPT 296.0000 178.6259 9.5 HKN58 SCPT
HKN58-SCPT 289.1800 170.4894 10.5 HKN58 SCPT
HKN58-SCPT 270.1500 148.7890 11.5 HKN58 SCPT
HKN58-SCPT 286.0500 166.8188 12.5 HKN58 SCPT
HKN58-SCPT 296.5500 179.2903 13.5 HKN58 SCPT
HKN58-SCPT 287.8900 168.9718 14.5 HKN58 SCPT
HKN58-SCPT 317.8700 205.9966 15.5 HKN58 SCPT
HKN58-SCPT 311.8400 198.2552 16.5 HKN58 SCPT
HKN58-SCPT 294.9800 177.3969 17.5 HKN58 SCPT
HKN58-SCPT 340.0800 235.7888 18.5 HKN58 SCPT
HKN58-SCPT 309.9800 195.8972 19.4 HKN58 SCPT
HKN58-SCPT 267.6600 146.0589 20.9 HKN58 SCPT
HKN58-SCPT 267.6900 146.0916 22.5 HKN58 SCPT
HKN58-SCPT 264.8200 142.9758 24.0 HKN58 SCPT
HKN58-SCPT 295.1500 177.6015 25.5 HKN58 SCPT
HKN58-SCPT 293.4000 175.5017 27.0 HKN58 SCPT
HKN58-SCPT 291.6600 173.4262 28.5 HKN58 SCPT
HKN58-SCPT 306.2600 191.2236 30.0 HKN58 SCPT
HKN58-SCPT 322.3900 211.8967 31.5 HKN58 SCPT
HKN58-SCPT 342.6900 239.4219 33.0 HKN58 SCPT
HKN58-SCPT 326.7999 217.7333 34.5 HKN58 SCPT
HKN58-SCPT 272.3377 151.2086 35.7 HKN58 SCPT
HKN65-SCPT 191.0600 74.4219 1.5 HKN65 SCPT
HKN65-SCPT 184.7400 69.5798 2.5 HKN65 SCPT
HKN65-SCPT 194.7800 77.3481 3.5 HKN65 SCPT
HKN65-SCPT 204.4094 85.1849 4.5 HKN65 SCPT
HKN65-SCPT 224.4700 102.7253 5.5 HKN65 SCPT
HKN65-SCPT 210.9500 90.7236 7.5 HKN65 SCPT
HKN65-SCPT 254.8907 132.4552 8.5 HKN65 SCPT
HKN65-SCPT 284.4200 164.9230 9.5 HKN65 SCPT
HKN65-SCPT 289.1800 170.4894 10.5 HKN65 SCPT
HKN65-SCPT 294.5600 176.8921 11.5 HKN65 SCPT
HKN65-SCPT 272.3400 151.2112 12.5 HKN65 SCPT
HKN65-SCPT 293.6200 175.7649 13.5 HKN65 SCPT
HKN65-SCPT 296.1000 178.7466 14.5 HKN65 SCPT
HKN65-SCPT 294.9000 177.3007 15.5 HKN65 SCPT
HKN65-SCPT 305.6422 190.4530 16.5 HKN65 SCPT
HKN65-SCPT 285.8000 166.5273 17.5 HKN65 SCPT
HKN65-SCPT 286.9586 167.8803 18.5 HKN65 SCPT
HKN65-SCPT 284.2500 164.7259 19.5 HKN65 SCPT
HKN65-SCPT 288.4811 169.6663 21.0 HKN65 SCPT
HKN65-SCPT 302.3900 186.4214 22.5 HKN65 SCPT
HKN65-SCPT 294.5500 176.8801 24.0 HKN65 SCPT
HKN65-SCPT 312.3900 198.9552 25.5 HKN65 SCPT
HKN65-SCPT 295.7700 178.3484 27.0 HKN65 SCPT
HKN65-SCPT 288.0669 169.1795 28.5 HKN65 SCPT
HKN65-SCPT 306.0553 190.9680 30.0 HKN65 SCPT
HKN65-SCPT 298.8000 182.0213 31.5 HKN65 SCPT
HKN65-SCPT 306.1635 191.1032 33.0 HKN65 SCPT
HKN65-SCPT 355.3400 257.4241 34.5 HKN65 SCPT
HKN65-SCPT 306.1458 191.0810 36.0 HKN65 SCPT
HKN65-SCPT 326.7200 217.6268 37.0 HKN65 SCPT
HKN67-SCPT 182.9400 68.2305 1.5 HKN67 SCPT
HKN67-SCPT 219.5900 98.3074 2.5 HKN67 SCPT
HKN67-SCPT 174.8100 62.3008 3.5 HKN67 SCPT
HKN67-SCPT 231.8600 109.6005 4.5 HKN67 SCPT
HKN67-SCPT 207.2000 87.5267 5.5 HKN67 SCPT
HKN67-SCPT 238.4100 115.8804 6.5 HKN67 SCPT
HKN67-SCPT 290.0600 171.5287 7.5 HKN67 SCPT
HKN67-SCPT 268.1000 146.5395 8.5 HKN67 SCPT
HKN67-SCPT 303.0158 187.1938 9.5 HKN67 SCPT
HKN67-SCPT 290.9000 172.5236 10.5 HKN67 SCPT
HKN67-SCPT 267.1900 145.5464 11.5 HKN67 SCPT
HKN67-SCPT 287.4187 168.4190 12.5 HKN67 SCPT
HKN67-SCPT 281.2100 161.2213 13.5 HKN67 SCPT
HKN67-SCPT 257.0037 134.6603 14.5 HKN67 SCPT
HKN67-SCPT 276.5600 155.9336 15.5 HKN67 SCPT
HKN67-SCPT 283.0000 163.2803 16.5 HKN67 SCPT
HKN67-SCPT 246.0600 123.4363 17.5 HKN67 SCPT
HKN67-SCPT 296.8000 179.5927 18.5 HKN67 SCPT
HKN67-SCPT 284.7500 165.3059 19.5 HKN67 SCPT
HKN67-SCPT 287.8664 168.9441 21.0 HKN67 SCPT
HKN70-SCPT 219.3604 98.1019 1.5 HKN70 SCPT
HKN70-SCPT 196.4100 78.6481 2.5 HKN70 SCPT
HKN70-SCPT 209.3100 89.3184 3.5 HKN70 SCPT
HKN70-SCPT 226.4200 104.5179 4.5 HKN70 SCPT
HKN70-SCPT 248.6400 126.0384 5.5 HKN70 SCPT
HKN70-SCPT 253.3278 130.8358 6.5 HKN70 SCPT
HKN70-SCPT 254.4880 132.0370 7.5 HKN70 SCPT
HKN70-SCPT 254.9887 132.5571 8.5 HKN70 SCPT
HKN70-SCPT 256.1315 133.7479 9.5 HKN70 SCPT
HKN70-SCPT 270.2485 148.8975 10.5 HKN70 SCPT
HKN70-SCPT 256.5071 134.1405 11.5 HKN70 SCPT
HKN70-SCPT 256.7921 134.4387 12.5 HKN70 SCPT
HKN70-SCPT 271.2233 149.9737 13.5 HKN70 SCPT
HKN70-SCPT 256.9569 134.6113 14.1 HKN70 SCPT
HKN72-SCPT-A 324.5100 214.6926 30.0 HKN72 SCPT
HKN72-SCPT-A 320.2800 209.1321 31.5 HKN72 SCPT
HKN72-SCPT-A 415.2900 351.6122 33.0 HKN72 SCPT
HKN72-SCPT-A 401.6900 328.9600 34.5 HKN72 SCPT
HKN72-SCPT-A 382.8700 298.8572 36.0 HKN72 SCPT
HKN72-SCPT-A 395.2300 318.4643 37.5 HKN72 SCPT
HKN72-SCPT-A 415.3300 351.6799 39.0 HKN72 SCPT
HKN72-SCPT-A 401.7200 329.0091 40.5 HKN72 SCPT
HKN72-SCPT-A 331.1500 223.5684 42.0 HKN72 SCPT
HKN72-SCPT-A 305.9189 190.7979 43.5 HKN72 SCPT
HKN72-SCPT-A 350.0800 249.8593 45.0 HKN72 SCPT
HKN72-SCPT-A 422.5200 363.9616 46.5 HKN72 SCPT
HKN72-SCPT-A 466.7900 444.2261 48.0 HKN72 SCPT
HKN72-SCPT-A 401.7500 329.0582 49.5 HKN72 SCPT
HKN72-SCPT-A 411.8800 345.8616 50.2 HKN72 SCPT
HKN72-SCPT 38.6241 3.0414 1.5 HKN72 SCPT
HKN72-SCPT 174.6338 62.1752 2.5 HKN72 SCPT
HKN72-SCPT 203.9400 84.7941 3.5 HKN72 SCPT
HKN72-SCPT 205.2100 85.8535 4.5 HKN72 SCPT
HKN72-SCPT 242.4200 119.8113 5.5 HKN72 SCPT
HKN72-SCPT 248.1400 125.5320 6.5 HKN72 SCPT
HKN72-SCPT 249.9000 127.3191 7.5 HKN72 SCPT
HKN72-SCPT 266.6400 144.9478 8.5 HKN72 SCPT
HKN72-SCPT 245.4200 122.7951 9.5 HKN72 SCPT
HKN72-SCPT 282.5000 162.7039 10.5 HKN72 SCPT
HKN72-SCPT 287.8496 168.9243 11.5 HKN72 SCPT
HKN72-SCPT 250.8500 128.2889 12.5 HKN72 SCPT
HKN72-SCPT 250.9200 128.3605 13.5 HKN72 SCPT
HKN72-SCPT 270.4000 149.0645 14.5 HKN72 SCPT
HKN72-SCPT 291.3800 173.0934 15.5 HKN72 SCPT
HKN72-SCPT 281.3800 161.4163 16.5 HKN72 SCPT
HKN72-SCPT 288.0400 169.1479 17.5 HKN72 SCPT
HKN72-SCPT 269.6233 148.2094 18.5 HKN72 SCPT
HKN72-SCPT 245.4955 122.8706 19.5 HKN72 SCPT
HKN72-SCPT 283.1400 163.4419 21.0 HKN72 SCPT
HKN72-SCPT 269.1600 147.7005 22.5 HKN72 SCPT
HKN72-SCPT 269.1800 147.7225 24.0 HKN72 SCPT
HKN72-SCPT 274.2352 153.3230 25.5 HKN72 SCPT
HKN72-SCPT 296.9700 179.7985 28.5 HKN72 SCPT
HKN72-SCPT 303.2092 187.4329 30.0 HKN72 SCPT
HKN72-SCPT 306.2700 191.2361 31.1 HKN72 SCPT
HKN75-SCPT-A 272.0168 150.8525 15.5 HKN75 SCPT
HKN75-SCPT-A 271.1149 149.8539 16.5 HKN75 SCPT
HKN75-SCPT-A 326.0367 216.7175 17.6 HKN75 SCPT
HKN75-SCPT 132.9000 36.0090 1.5 HKN75 SCPT
HKN75-SCPT 230.4900 108.3092 2.5 HKN75 SCPT
HKN75-SCPT 231.6500 109.4021 3.5 HKN75 SCPT
HKN75-SCPT 227.4800 105.4988 4.5 HKN75 SCPT
HKN75-SCPT 196.3000 78.5600 5.5 HKN75 SCPT
HKN75-SCPT 217.1300 96.1171 6.5 HKN75 SCPT
HKN75-SCPT 247.3700 124.7542 7.5 HKN75 SCPT
HKN75-SCPT 256.8100 134.4574 8.5 HKN75 SCPT
HKN75-SCPT 279.0800 158.7883 9.5 HKN75 SCPT
HKN75-SCPT 313.2800 200.0904 10.5 HKN75 SCPT
HKN75-SCPT 274.7000 153.8432 11.5 HKN75 SCPT
HKN75-SCPT 256.1000 133.7150 12.5 HKN75 SCPT
HKN75-SCPT 375.4672 287.4120 13.5 HKN75 SCPT
HKN75-SCPT 321.9900 211.3712 14.5 HKN75 SCPT
HKN02-BH-SA 318.1800 206.3986 33.0 HKN02 BH
HKN02-BH-SA 388.9800 308.4718 52.0 HKN02 BH
HKN28-BH-SC 241.2501 118.6578 2.5 HKN28 BH
HKN28-BH-SC 230.2028 108.0395 5.5 HKN28 BH
HKN28-BH-SC 243.5771 120.9578 8.5 HKN28 BH
HKN28-BH-SC 241.8400 119.2387 11.5 HKN28 BH
HKN28-BH-SC 271.7500 150.5567 14.5 HKN28 BH
HKN28-BH-SC 271.7531 150.5601 17.5 HKN28 BH
HKN28-BH-SC 272.0000 150.8338 19.4 HKN28 BH
HKN28-BH-SC 212.9677 92.4674 22.7 HKN28 BH
HKN28-BH-SC 244.9107 122.2859 25.9 HKN28 BH
HKN28-BH-SC 288.2000 169.3359 28.9 HKN28 BH
HKN28-BH-SC 295.1700 177.6255 31.9 HKN28 BH
HKN28-BH-SC 273.7400 152.7698 33.8 HKN28 BH
HKN28-BH-SC 326.4977 217.3308 35.3 HKN28 BH
HKN28-BH-SC 257.9189 135.6212 37.0 HKN28 BH
HKN28-BH-SC 251.3100 128.7599 40.0 HKN28 BH
HKN28-BH-SC 257.9414 135.6448 43.0 HKN28 BH
HKN28-BH-SC 272.2703 151.1338 45.8 HKN28 BH
HKN28-BH-SC 306.6011 191.6498 49.5 HKN28 BH
HKN28-BH-SC 350.1183 249.9140 50.9 HKN28 BH
HKN28-BH-SC 377.2527 290.1520 52.3 HKN28 BH
HKN28-BH-SC 379.9400 294.3005 54.6 HKN28 BH
HKN28-BH-SC 335.7000 229.7543 57.1 HKN28 BH
HKN28-BH-SC 408.4400 340.1085 58.7 HKN28 BH
HKN33-BH-SA 195.6808 78.0652 14.1 HKN33 BH
HKN33-BH-SA 204.4574 85.2249 24.0 HKN33 BH
HKN33-BH-SA 245.0501 122.4252 34.0 HKN33 BH
HKN39-BH-SA 252.0000 129.4679 14.0 HKN39 BH
HKN39-BH-SA 306.3537 191.3407 18.0 HKN39 BH
HKN39-BH-SA 306.2630 191.2274 22.0 HKN39 BH
HKN39-BH-SA 349.8323 249.5059 28.0 HKN39 BH
HKN39-BH-SA 308.0000 193.4027 32.0 HKN39 BH
HKN47-BH-SA 319.0000 207.4638 9.5 HKN47 BH
HKN47-BH-SA 262.0000 139.9470 16.5 HKN47 BH
HKN47A-BH-SA 256.0000 133.6106 22.0 HKN47 BH
HKN48A-BH-SA 233.2700 110.9376 26.1 HKN48 BH
HKN48A-BH-SA 250.0100 127.4312 36.0 HKN48 BH
HKN67-BH-SA 259.1400 136.9083 23.0 HKN67 BH
HKN67-BH-SA 258.0000 135.7064 27.0 HKN67 BH
HKN67-BH-SA 331.0000 223.3660 36.0 HKN67 BH
HKN70-BH-SA 288.1500 169.2771 25.5 HKN70 BH
HKN70-BH-SA 304.3500 188.8459 34.5 HKN70 BH
HKN75-BH-SA 304.0000 188.4118 17.0 HKN75 BH
HKN75-BH-SA 271.0000 149.7268 23.9 HKN75 BH
HKN75-BH-SA 336.0000 230.1651 32.0 HKN75 BH
HKN75-BH-SA 380.0000 294.3935 41.6 HKN75 BH


In overall, we have a set of 570 measurements for Vs and Gmax. A very good data base to hopefully allow us to train some ML models. The following is a plot versus depth of Vs and Gmax and, as you could suspect, they are basically the same data 😄

plot_vs <- 
  ggplot(data_seis, aes(Vs, SCPT_DPTH)) +
  geom_point(alpha = 0.15, size = 5, color = gray_2) +
  scale_y_reverse() +
  coord_cartesian(expand = c(0, 0), xlim = c(0, NA), ylim = c(80, 0)) +
  labs(x = "Vs (m/s)")

plot_gmax <- 
  ggplot(data_seis, aes(Gmax, SCPT_DPTH)) +
  geom_point(alpha = 0.15, size = 5, color = gray_2) +
  scale_y_reverse() +
  coord_cartesian(expand = c(0, 0), xlim = c(0, NA), ylim = c(80, 0)) +
  labs(y = NULL) +
  labs(x = "Gmax (MPa)")

plot_vs | plot_gmax
_Plot of measured `Vs` and `Gmax` vs depth._

Plot of measured Vs and Gmax vs depth.

3.4 Putting it all together

Up to this point, we have 2 data sets:

  • data_corr: corrected CPTU data
  • data_seis: seismic measurements data

Let’s merge these data sets into one comprehensive data set,data_all.

data_all <- data_corr %>% left_join(data_seis, by = c("LOCA_ID", "SCPT_DPTH", "LOCATION", "TYPE"))

# table
func_tbl(head(data_all, 100))
LOCA_ID LOCA_NATE LOCA_NATN LOCA_FDEP LOCA_WDEP TYPE LOCATION LOCA_NR SCPG_TESN SCPT_DPTH SCPT_RES SCPT_FRES SCPT_PWP2 SCPT_QT SCPT_QNET SCPT_BQ UW U0 SV0 SV0P Fr n Qtn Ic Vs Gmax
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.02 0.042 NA NA 0.042 0.042 0.1835 NA 0.1962 NA NA NA NA NA NA NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.04 0.080 NA NA 0.080 0.080 0.1234 NA 0.3924 NA NA NA NA NA NA NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.06 0.118 NA NA 0.119 0.117 0.0633 NA 0.5886 NA NA NA NA NA NA NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.08 0.157 8.353 1.9 0.157 0.156 0.0034 180.0658 0.7848 14.4053 13.6205 5.8579 1.0000 10.4692 3.1550 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.10 0.354 6.625 1.8 0.355 0.353 0.0016 14.9989 0.9810 1.4999 0.5189 1.8741 0.4686 41.3779 2.3797 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.12 0.527 7.500 1.9 0.528 0.526 0.0011 15.9117 1.1772 1.9094 0.7322 1.4256 0.4237 42.0036 2.3018 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.14 0.602 9.325 1.9 0.603 0.600 0.0011 16.0793 1.3734 2.2511 0.8777 1.5522 0.4399 47.9699 2.2785 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.16 0.705 11.149 1.9 0.706 0.703 0.0003 16.2833 1.5696 2.6053 1.0357 1.5850 0.4437 53.1292 2.2495 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.18 0.827 12.973 2.1 0.828 0.824 0.0005 16.4915 1.7658 2.9685 1.2027 1.5724 0.4418 57.8550 2.2187 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.20 0.941 14.797 2.3 0.942 0.938 0.0003 16.6598 1.9620 3.3320 1.3700 1.5764 0.4424 62.2881 2.1949 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.22 0.933 8.161 2.6 0.934 0.930 0.0003 17.0439 2.1582 3.7496 1.5914 0.8773 0.3686 42.5361 2.1779 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.24 0.988 7.077 2.9 0.989 0.984 0.0004 17.1829 2.3544 4.1239 1.7695 0.7186 0.3452 39.3975 2.1616 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.26 1.043 9.129 3.2 1.044 1.039 0.0005 17.1127 2.5506 4.4493 1.8987 0.8782 0.3746 45.6095 2.1525 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.28 1.097 9.944 3.5 1.099 1.093 0.0005 17.1281 2.7468 4.7959 2.0491 0.9088 0.3817 47.9608 2.1424 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.30 1.152 16.997 3.8 1.154 1.148 0.0006 16.8410 2.9430 5.0523 2.1093 1.4794 0.4499 64.8555 2.1637 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.32 1.298 23.855 4.3 1.300 1.294 0.0008 16.9810 3.1392 5.4339 2.2947 1.8427 0.4798 78.7888 2.1639 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.34 1.435 25.418 4.7 1.437 1.431 0.0009 17.1737 3.3354 5.8391 2.5037 1.7760 0.4735 81.6017 2.1419 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.36 1.356 25.986 5.1 1.358 1.351 0.0011 17.0699 3.5316 6.1451 2.6135 1.9222 0.4926 80.9929 2.1679 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.38 1.454 25.135 4.5 1.456 1.448 0.0005 17.1986 3.7278 6.5355 2.8077 1.7341 0.4777 79.4608 2.1432 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.40 1.551 23.319 4.8 1.553 1.545 0.0004 17.3852 3.9240 6.9541 3.0301 1.5083 0.4583 76.3612 2.1154 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.42 1.413 20.760 5.2 1.415 1.407 0.0006 17.2846 4.1202 7.2595 3.1393 1.4747 0.4657 70.1785 2.1366 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.44 1.467 19.153 5.1 1.469 1.460 0.0004 17.3809 4.3164 7.6476 3.3312 1.3106 0.4509 67.3920 2.1173 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.46 1.565 18.569 5.3 1.567 1.558 0.0004 17.5099 4.5126 8.0546 3.5420 1.1911 0.4374 66.8199 2.0942 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.48 1.615 19.665 5.6 1.617 1.608 0.0004 17.5439 4.7088 8.4211 3.7123 1.2225 0.4425 68.6936 2.0919 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.50 1.709 21.744 5.5 1.711 1.702 0.0003 17.5917 4.9050 8.7959 3.8909 1.2774 0.4479 72.4564 2.0859 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.52 1.792 22.870 5.6 1.794 1.784 0.0003 17.6566 5.1012 9.1814 4.0802 1.2814 0.4484 74.5021 2.0774 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.54 1.867 22.894 6.2 1.869 1.859 0.0003 17.7269 5.2974 9.5725 4.2751 1.2312 0.4434 74.8199 2.0650 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.56 1.958 20.578 6.9 1.961 1.950 0.0005 17.8429 5.4936 9.9920 4.4984 1.0547 0.4223 71.8799 2.0368 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.58 2.040 22.219 7.3 2.043 2.032 0.0007 17.8849 5.6898 10.3732 4.6834 1.0931 0.4273 74.7514 2.0329 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.60 2.146 24.133 7.1 2.149 2.137 0.0005 17.9378 5.8860 10.7627 4.8767 1.1286 0.4309 78.1345 2.0265 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.62 2.298 17.562 7.2 2.301 2.289 0.0005 18.1267 6.0822 11.2385 5.1563 0.7670 0.3773 69.6579 1.9667 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.64 2.483 14.796 7.4 2.486 2.474 0.0004 18.2644 6.2784 11.6892 5.4108 0.5980 0.3420 66.6476 1.9244 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.66 2.664 14.194 7.7 2.667 2.654 0.0004 18.3570 6.4746 12.1156 5.6410 0.5346 0.3248 67.0867 1.8972 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.68 2.737 16.143 8.2 2.741 2.727 0.0004 18.3669 6.6708 12.4895 5.8187 0.5916 0.3382 70.9207 1.8990 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.70 2.737 18.848 8.1 2.741 2.727 0.0005 18.3435 6.8670 12.8404 5.9734 0.6909 0.3611 74.9984 1.9147 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.72 2.806 20.620 8.5 2.809 2.795 0.0004 18.3593 7.0632 13.2187 6.1555 0.7375 0.3704 78.0265 1.9164 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.74 3.020 20.948 8.6 3.023 3.009 0.0004 18.4492 7.2594 13.6524 6.3930 0.6961 0.3593 80.3213 1.8918 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.76 3.139 20.423 8.8 3.143 3.128 0.0003 18.5004 7.4556 14.0603 6.6047 0.6527 0.3503 80.5363 1.8753 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.78 3.258 21.256 9.1 3.262 3.246 0.0004 18.5401 7.6518 14.4613 6.8095 0.6545 0.3501 82.6540 1.8666 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.80 3.340 21.331 9.9 3.344 3.328 0.0004 18.5692 7.8480 14.8554 7.0074 0.6407 0.3478 83.3699 1.8583 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.82 3.501 21.883 9.7 3.505 3.489 0.0005 18.6210 8.0442 15.2692 7.2250 0.6271 0.3434 85.4720 1.8442 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.84 3.700 22.757 9.8 3.704 3.687 0.0003 18.6816 8.2404 15.6926 7.4522 0.6170 0.3389 88.3448 1.8283 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.86 3.790 23.351 10.1 3.794 3.777 0.0003 18.7072 8.4366 16.0882 7.6516 0.6181 0.3395 89.8173 1.8228 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.88 3.813 23.533 10.1 3.818 3.800 0.0004 18.7137 8.6328 16.4680 7.8352 0.6190 0.3416 90.1272 1.8219 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.90 3.934 25.382 10.6 3.938 3.920 0.0003 18.7435 8.8290 16.8691 8.0401 0.6473 0.3470 93.4255 1.8198 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.92 4.103 27.063 10.4 4.107 4.089 0.0002 18.7873 9.0252 17.2843 8.2591 0.6617 0.3485 96.9034 1.8123 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.94 4.278 28.748 10.5 4.283 4.264 0.0003 18.8319 9.2214 17.7019 8.4805 0.6740 0.3495 100.3898 1.8043 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.96 4.476 29.480 10.8 4.481 4.462 0.0003 18.8814 9.4176 18.1262 8.7086 0.6606 0.3451 102.9522 1.7903 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 0.98 4.715 31.386 10.7 4.720 4.700 0.0002 18.9375 9.6138 18.5587 8.9449 0.6676 0.3442 107.2181 1.7787 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.00 4.920 34.754 11.5 4.925 4.905 0.0003 18.9834 9.8100 18.9834 9.1734 0.7084 0.3507 112.6543 1.7768 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.02 5.202 37.137 11.3 5.207 5.187 0.0002 19.0449 10.0062 19.4258 9.4196 0.7159 0.3495 117.6865 1.7644 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.04 5.817 38.289 11.0 5.822 5.801 0.0001 19.1655 10.2024 19.9322 9.7298 0.6599 0.3311 124.6693 1.7231 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.06 6.515 39.136 10.8 6.520 6.499 0.0001 19.2820 10.3986 20.4389 10.0403 0.6021 0.3111 131.9771 1.6794 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.08 7.176 41.300 10.8 7.180 7.159 0.0000 19.3793 10.5948 20.9296 10.3348 0.5769 0.2992 140.2098 1.6473 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.10 7.862 44.539 10.7 7.866 7.844 0.0000 19.4737 10.7910 21.4211 10.6301 0.5678 0.2916 149.7395 1.6202 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.12 8.598 47.545 10.3 8.603 8.581 -0.0001 19.5646 10.9872 21.9124 10.9252 0.5541 0.2829 159.3944 1.5922 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.14 9.299 49.895 10.6 9.303 9.281 -0.0001 19.6400 11.1834 22.3896 11.2062 0.5376 0.2743 167.9473 1.5662 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.16 9.897 52.393 10.9 9.901 9.878 -0.0001 19.7003 11.3796 22.8524 11.4728 0.5304 0.2693 175.6852 1.5471 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.18 10.383 55.959 11.0 10.387 10.364 -0.0001 19.7519 11.5758 23.3072 11.7314 0.5400 0.2699 183.4690 1.5370 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.20 10.780 58.623 11.4 10.785 10.761 -0.0001 19.7927 11.7720 23.7512 11.9792 0.5448 0.2700 189.4694 1.5285 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.22 11.292 62.043 11.8 11.297 11.273 0.0000 19.8432 11.9682 24.2087 12.2405 0.5504 0.2697 197.1945 1.5178 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.24 11.782 65.786 11.8 11.787 11.762 -0.0001 19.8899 12.1644 24.6635 12.4991 0.5593 0.2705 204.9601 1.5093 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.26 12.103 69.963 11.9 12.108 12.083 0.0000 19.9247 12.3606 25.1051 12.7445 0.5790 0.2752 211.4802 1.5087 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.28 12.272 73.633 12.7 12.278 12.252 0.0000 19.9469 12.5568 25.5321 12.9753 0.6010 0.2811 215.9985 1.5123 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.30 12.353 74.923 13.0 12.358 12.332 0.0000 19.9558 12.7530 25.9425 13.1895 0.6075 0.2836 217.4845 1.5132 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.32 12.334 75.408 13.7 12.340 12.314 0.0000 19.9559 12.9492 26.3418 13.3926 0.6124 0.2861 217.3240 1.5158 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.34 12.337 74.820 14.2 12.343 12.317 0.0001 19.9541 13.1454 26.7385 13.5931 0.6075 0.2861 216.4514 1.5148 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.36 12.314 73.723 14.4 12.320 12.293 0.0001 19.9493 13.3416 27.1311 13.7895 0.5997 0.2855 214.9147 1.5134 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.38 12.318 70.393 14.6 12.324 12.297 0.0001 19.9382 13.5378 27.5147 13.9769 0.5725 0.2799 211.7553 1.5050 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.40 12.381 67.165 14.4 12.387 12.359 0.0000 19.9321 13.7340 27.9049 14.1709 0.5434 0.2731 209.2141 1.4945 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.42 12.519 65.149 14.6 12.525 12.498 0.0000 19.9334 13.9302 28.3055 14.3753 0.5213 0.2675 208.4161 1.4843 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.44 12.759 62.575 14.8 12.765 12.737 0.0000 19.9390 14.1264 28.7121 14.5857 0.4913 0.2587 208.0253 1.4688 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.46 13.176 61.168 14.6 13.182 13.153 0.0000 19.9585 14.3226 29.1394 14.8168 0.4651 0.2496 210.2499 1.4505 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.48 13.387 62.468 15.1 13.393 13.364 0.0000 19.9752 14.5188 29.5633 15.0445 0.4675 0.2504 213.1266 1.4472 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.50 13.595 62.525 15.1 13.601 13.571 0.0000 19.9869 14.7150 29.9803 15.2653 0.4607 0.2483 214.8235 1.4406 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.52 13.930 63.519 14.9 13.937 13.907 0.0000 20.0094 14.9112 30.4142 15.5030 0.4568 0.2465 218.5252 1.4324 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.54 14.203 66.689 15.1 14.209 14.178 0.0000 20.0369 15.1074 30.8569 15.7495 0.4704 0.2505 223.5931 1.4325 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.56 14.161 68.592 15.9 14.168 14.137 0.0000 20.0398 15.3036 31.2621 15.9585 0.4852 0.2564 224.6319 1.4394 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.58 13.991 72.540 16.6 13.998 13.967 0.0001 20.0450 15.4998 31.6710 16.1712 0.5194 0.2683 226.0740 1.4560 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.60 13.952 74.008 17.2 13.959 13.928 0.0000 20.0480 15.6960 32.0769 16.3809 0.5314 0.2730 226.5779 1.4617 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.62 14.017 73.772 17.0 14.024 13.992 0.0000 20.0513 15.8922 32.4831 16.5909 0.5273 0.2727 226.6953 1.4593 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.64 14.039 74.270 16.8 14.046 14.013 0.0000 20.0539 16.0884 32.8884 16.8000 0.5300 0.2744 226.9853 1.4604 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.66 14.028 73.398 17.4 14.036 14.003 0.0000 20.0502 16.2846 33.2833 16.9987 0.5242 0.2740 225.9102 1.4588 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.68 14.062 75.740 17.5 14.070 14.037 0.0000 20.0601 16.4808 33.7009 17.2201 0.5396 0.2791 227.7086 1.4644 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.70 14.200 77.041 17.7 14.207 14.174 0.0000 20.0729 16.6770 34.1240 17.4470 0.5436 0.2806 229.6682 1.4636 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.72 14.367 78.592 18.0 14.374 14.340 0.0000 20.0869 16.8732 34.5495 17.6763 0.5481 0.2820 232.0857 1.4625 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.74 14.492 82.171 18.4 14.500 14.466 0.0001 20.1058 17.0694 34.9841 17.9147 0.5681 0.2876 235.5175 1.4680 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.76 14.641 85.061 18.5 14.649 14.614 0.0001 20.1233 17.2656 35.4171 18.1515 0.5821 0.2915 238.6111 1.4708 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.78 14.891 88.163 18.7 14.899 14.864 0.0000 20.1474 17.4618 35.8625 18.4007 0.5932 0.2940 242.7829 1.4708 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.80 15.179 89.238 18.8 15.187 15.151 0.0000 20.1656 17.6580 36.2980 18.6400 0.5890 0.2926 245.9571 1.4645 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.82 15.485 90.397 18.6 15.493 15.457 0.0000 20.1844 17.8542 36.7357 18.8815 0.5849 0.2911 249.3566 1.4581 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.84 15.789 91.335 18.9 15.797 15.761 0.0000 20.2022 18.0504 37.1720 19.1216 0.5795 0.2894 252.5834 1.4513 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.86 15.922 93.060 19.1 15.930 15.893 0.0000 20.2136 18.2466 37.5972 19.3506 0.5856 0.2913 254.6259 1.4518 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.88 15.972 95.666 19.3 15.980 15.943 0.0000 20.2237 18.4428 38.0205 19.5777 0.6001 0.2956 256.3731 1.4569 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.90 16.010 97.585 19.4 16.018 15.980 0.0000 20.2314 18.6390 38.4396 19.8006 0.6107 0.2990 257.5260 1.4607 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.92 16.026 99.242 20.4 16.034 15.996 0.0001 20.2376 18.8352 38.8562 20.0210 0.6205 0.3022 258.2658 1.4645 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.94 15.981 99.195 20.8 15.990 15.952 0.0001 20.2342 19.0314 39.2543 20.2229 0.6219 0.3037 257.3780 1.4663 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.96 15.783 98.169 21.0 15.791 15.753 0.0001 20.2209 19.2276 39.6329 20.4053 0.6232 0.3058 254.3497 1.4707 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 1.98 15.486 94.687 21.2 15.494 15.455 0.0001 20.1947 19.4238 39.9855 20.5617 0.6127 0.3057 248.9104 1.4724 NA NA
HKN01-PCPT 589266.1 5852097 41.03 23.7 PCPT HKN01 01 1 2.00 15.054 91.106 21.9 15.063 15.024 0.0001 20.1604 19.6200 40.3209 20.7009 0.6065 0.3073 242.0752 1.4782 NA NA

4 MODELS

Here we start to build and train our models to predict Gmax. As previously mentioned, we aim to build a stacked ML model here, meaning that we are gong to blend several models together.

4.1 Basic setup and data preparation

The models are obviously going to be trained using those data points where Gmax are present, so we need to extract this portion of the data from the overall dataset. But first, let’s see if locations with Gmax measurements fully represent the whole site, i.e. if all the spectra of ground properties is covered.

data_all <- 
  data_all %>%
  mutate(
    YES_NO = case_when(
      LOCA_ID %in% c(levels(data_seis$LOCA_ID)) ~ "with Gmax",
      TRUE ~ "without Gmax")
  )
plot_qc <- 
  ggplot(data_all, aes(SCPT_RES, SCPT_DPTH)) +
  geom_point(alpha = 0.05, size = 1, aes(color = YES_NO)) +
  scale_y_reverse() +
  facet_wrap(~YES_NO, ncol = 1) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  scale_color_manual(values = c(col_r, col_y)) +
  theme(legend.position = "none") +
  labs(x = "qc (MPa)")

hist_qc <- 
  ggplot(data_all, aes(SCPT_RES)) +
  geom_histogram(alpha = 0.5, aes(y =..density.., fill = YES_NO)) +
  facet_wrap(~YES_NO, scales = "free_y", ncol = 1) +
  coord_cartesian(expand = c(0, 0)) +
  scale_fill_manual(values = c(col_r, col_y)) +
  theme(legend.position = "none") +
  stat_function(data = data_all,
                aes(SCPT_RES),
                fun = dnorm,
                n = 200,
                args = list(mean = mean(data_all$SCPT_RES, na.rm = TRUE),
                            sd = sd(data_all$SCPT_RES, na.rm = TRUE)),
                colour = gray_2,
                size = 2,
                alpha = 0.5) +
  labs(x = "qc (MPa)")

hist_ic <- 
  ggplot(data_all, aes(Ic)) +
  geom_histogram(alpha = 0.5, aes(y =..density.., fill = YES_NO)) +
  facet_wrap(~YES_NO, scales = "free_y", ncol = 1) +
  coord_cartesian(expand = c(0, 0)) +
  scale_fill_manual(values = c(col_r, col_y)) +
  theme(legend.position = "none") +
  stat_function(data = data_all,
                aes(Ic),
                fun = dnorm,
                n = 200,
                args = list(mean = mean(data_all$Ic, na.rm = TRUE),
                            sd = sd(data_all$Ic, na.rm = TRUE)),
                colour = gray_2,
                size = 2,
                alpha = 0.5) +
  labs(x = "Ic (-)")

plot_qc | hist_qc | hist_ic
_Plot of `qc` vs depth and histograms of `qc` and `Ic` for locations with and without `Gmax` measurements._

Plot of qc vs depth and histograms of qc and Ic for locations with and without Gmax measurements.

The gray line in the above plot shows the theoretical normal distribution of qc and Ic for all the data (with and without Gmax) and it can be used as a reference. It looks like the whole site is well covered with SCPT tests, except that maybe we have relatively less SCPTs in the deep layers (~ higher qc values).

The next graph shows that there is actually a “gap” in the SCPT measurements after the depth of 20m.

ggplot(data_all, aes(y = SCPT_DPTH)) +
  geom_histogram(alpha = 0.5, aes(x =..density.., fill = YES_NO)) +
  facet_wrap(~YES_NO, scales = "free_x", ncol = 2) +
  coord_cartesian(expand = c(0, 0), ylim = c(80, 0)) +
  scale_fill_manual(values = c(col_r, col_y)) +
  theme(legend.position = "none") +
  scale_y_reverse() +
  labs(x = "Density (quantity) of measurements")
_Distribution of measurements along the depth for locations with and without Gmax measurements._

Distribution of measurements along the depth for locations with and without Gmax measurements.

Now we prepare the data we are going to use for our models. Let’s first try to sync Gmax measurements to other CPTU measurements.

As mentioned in the section on seismic measurements, Vs and Gmax data represent discrete measurements over 0.5m thickness of the test point, i.e. these data don’t actually represent a point but some considerable soil volume. Since our aim is to find a relationship between Gmax and other parameters measured during a PCPT test, it makes sense to transform all parameters in such a way that each data point represents the properties of the ground for a thickness of 0.5m. In other words, for these parameters we have to somehow compute a moving average with a window of 0.5m (25 data points within one window).

# transform the data for syncing
data_corr_ml <- 
  data_corr %>%
  # correcting an unconsistency in depth data
  mutate(SCPT_DPTH = SCPT_DPTH * 100) %>%
  mutate(Depth = case_when(
    SCPT_DPTH %% 2 == 0 ~ round(SCPT_DPTH / 100, 1),
    SCPT_DPTH %% 2 != 0 ~ round((SCPT_DPTH + 1) / 100, 1)
  )) %>%
  mutate(SCPT_DPTH = SCPT_DPTH / 100) %>%
  # keeping relevant parameters
  select(-c(
    LOCA_NR,
    LOCA_NATE,
    LOCA_NATN,
    LOCA_FDEP,
    LOCA_WDEP,
    TYPE,
    LOCATION,
    SCPG_TESN,
    n,
    SV0,
    U0,
    Fr,
    SCPT_QT,
    SCPT_QNET,
    SCPT_PWP2
  )) %>%
  # moving average
    group_by(LOCA_ID) %>%
    mutate(
      SCPT_RES = round(slide_dbl(SCPT_RES, ~mean(.x), .before = 12, .after = 12), 4),
      SCPT_FRES = round(slide_dbl(SCPT_FRES, ~mean(.x), .before = 12, .after = 12), 4),
      SCPT_BQ = round(slide_dbl(SCPT_BQ, ~mean(.x), .before = 12, .after = 12), 4),
      UW = round(slide_dbl(UW, ~mean(.x), .before = 12, .after = 12), 4),
      SV0P = round(slide_dbl(SV0P, ~mean(.x), .before = 12, .after = 12), 4),
      Qtn = round(slide_dbl(Qtn, ~mean(.x), .before = 12, .after = 12), 4),
      Ic = round(slide_dbl(Ic, ~mean(.x), .before = 12, .after = 12), 4)
      ) %>%
    ungroup()

data_seis_ml <- 
  data_seis %>% rename(Depth = SCPT_DPTH)

# create ML models data
data_ml <- 
  data_seis_ml %>% 
  left_join(data_corr_ml, by = c("LOCA_ID", "Depth")) %>%
  distinct(LOCA_ID, Gmax, .keep_all = TRUE) %>%
  select(-c(LOCA_ID, Vs, SCPT_DPTH, LOCATION, TYPE)) %>%
  # few corrections
  fill(SCPT_FRES, UW, SV0P, Qtn, Ic, .direction = "down") %>%
  filter(Ic != "NaN")
  
func_tbl(data_ml)
Gmax Depth SCPT_RES SCPT_FRES SCPT_BQ UW SV0P Qtn Ic
59.4335 1.5 4.6501 42.0712 -0.0041 18.7152 12.9652 106.7916 1.8826
24.3470 2.5 4.7422 26.0039 -0.0352 18.9299 22.4336 87.8440 1.8002
69.2142 3.5 4.0227 25.6598 -0.0207 18.7621 30.9679 71.7999 1.9133
72.9922 4.5 7.4858 67.9980 0.0005 19.4758 43.1000 114.6508 1.8413
88.1149 5.5 10.1776 96.9640 0.0001 19.8479 54.8180 137.6407 1.7938
131.2674 6.5 8.2398 68.2256 -0.0261 19.5582 62.9617 103.7309 1.8444
98.8177 7.5 9.6092 105.8078 -0.0011 19.8167 74.6567 112.4808 1.9027
108.7968 8.5 9.9510 98.3581 -0.0036 19.8331 84.7968 107.8393 1.8860
99.3361 9.5 11.7670 91.9392 -0.0007 19.9693 96.1131 118.3072 1.7898
120.7267 10.5 13.8898 119.3375 -0.0010 20.1869 108.5422 130.2016 1.7839
133.9468 11.5 15.5704 106.5016 -0.0196 20.2142 119.2480 137.4440 1.7123
134.2937 12.5 23.1298 174.9552 -0.0009 20.7153 135.8870 192.6460 1.6200
267.8288 13.5 24.2739 198.5845 -0.0011 20.8058 147.9982 191.5250 1.6462
190.7619 14.5 23.0603 190.2916 -0.0010 20.7552 158.2706 173.2083 1.6791
152.4686 15.5 23.6262 187.0072 -0.0009 20.7603 169.3032 169.8332 1.6753
220.1252 16.5 33.0621 250.5914 -0.0028 21.1167 185.8820 228.9997 1.5655
289.2411 17.5 34.3040 268.0275 -0.0043 21.1716 198.1388 227.0027 1.5795
203.5156 18.6 23.7687 210.6994 -0.0038 20.8249 204.4406 146.5749 1.7553
159.6885 19.5 20.6980 179.4586 -0.0022 20.6534 210.7988 122.8484 1.8067
249.0662 21.0 32.3768 252.2162 -0.0025 21.1099 236.8456 184.8754 1.6417
249.6167 22.4 45.3239 313.0618 -0.0031 21.4079 259.3305 252.7901 1.5063
242.6465 23.1 44.9213 284.7651 -0.0030 21.3421 265.9235 247.4560 1.4841
34.3002 1.5 23.7226 121.9929 -0.0001 20.5749 15.7240 357.6059 1.3046
68.0265 2.5 20.2697 133.5469 -0.0002 20.5097 26.3223 306.9982 1.4307
89.3734 3.5 22.5044 130.0773 0.0000 20.5692 37.2256 307.6228 1.3890
156.6271 4.5 17.1247 111.6582 -0.0002 20.2775 46.6465 228.8674 1.5378
59.3580 5.5 2.6662 57.1022 0.0300 17.9632 44.5415 47.5396 2.3853
64.7894 6.5 3.3030 55.8459 -0.0386 18.3213 54.9907 48.6454 2.3180
82.9262 7.5 2.8716 65.8256 -0.0366 18.0260 61.3036 40.0963 2.4695
99.0368 8.5 2.2917 53.8690 0.1201 17.8337 67.8739 31.5919 2.5320
109.1494 9.5 2.5253 48.1976 0.1246 17.9654 77.1553 30.9847 2.4876
99.8577 10.5 3.5749 71.6992 -0.0005 18.4444 90.3418 36.9852 2.4551
99.9389 11.5 5.3154 64.9650 -0.0476 19.0097 105.3944 48.3138 2.2377
110.1417 12.5 5.5382 65.7036 -0.0201 19.1094 115.8533 47.3308 2.2280
110.2182 13.5 7.3021 82.3035 -0.0008 19.4711 130.0213 58.3019 2.1385
110.2086 14.5 8.1978 90.1296 0.0004 19.6245 141.9247 61.4687 2.1091
215.5209 15.5 11.6758 117.4964 0.0002 20.0356 158.0865 82.6845 1.9820
216.4633 16.5 2.7658 121.4754 0.0748 17.8108 131.5795 19.2692 2.8757
100.8882 17.5 7.3571 140.5481 -0.0622 19.2327 164.4025 45.6341 2.4506
156.0690 18.5 14.9121 200.2026 0.0002 20.3728 194.7500 89.4748 2.0617
288.5758 19.5 25.8114 250.7255 -0.0002 20.9750 217.0480 151.9083 1.7695
288.5349 21.0 28.3949 262.6784 -0.0001 21.0573 235.7577 157.8174 1.7440
403.0469 22.4 37.7783 359.3725 -0.0003 21.4166 259.5227 199.2672 1.6786
49.0945 1.5 5.2448 37.5701 0.0005 18.9929 13.3542 112.2636 1.7943
45.8960 2.5 4.6678 41.2507 0.0006 18.8988 22.3916 95.1783 1.8995
62.7578 3.5 5.8607 62.9487 0.0007 19.1790 32.3878 105.2324 1.9220
72.5458 4.5 4.2402 51.9290 0.0014 18.7797 39.9806 73.1468 2.0792
70.8966 5.5 4.3490 53.5973 0.0016 18.8219 49.2056 67.2042 2.1077
71.8885 6.5 3.8483 62.9218 0.0000 18.6289 56.9521 55.9097 2.2476
119.0501 7.5 4.0014 197.5705 0.0426 18.5495 65.1781 56.9334 2.5670
79.5637 8.5 2.6787 89.8945 0.1997 18.0091 69.3813 37.9461 2.5511
170.2655 9.5 27.4877 265.4300 0.0001 21.0437 106.2816 263.4874 1.5984
225.3408 10.5 27.7719 283.9186 0.0001 21.0910 117.9965 251.3258 1.6323
157.3577 11.5 34.5284 354.9089 0.0000 21.3614 132.3811 294.1442 1.5894
147.2619 12.5 34.0945 344.2132 0.0000 21.3370 143.6310 276.5388 1.6007
222.8399 13.5 29.6356 309.9192 0.0000 21.1769 152.9885 229.0208 1.6715
121.5056 14.5 22.1644 243.8926 0.0001 20.8589 159.7713 162.6312 1.7863
169.0422 15.5 30.2787 307.3704 0.0000 21.1939 175.9943 212.7441 1.6788
169.1009 16.5 22.9218 267.2932 -0.0001 20.9346 182.8839 151.5365 1.8253
150.8782 17.5 26.4654 269.5689 0.0001 21.0329 195.7305 169.4850 1.7492
100.6942 18.5 27.5108 281.1793 0.0001 21.0821 207.8623 168.3445 1.7526
135.1266 19.5 27.7355 312.6562 -0.0001 21.1466 220.3678 160.3591 1.7988
150.7020 21.0 29.7512 304.5440 0.0000 21.1780 238.2756 163.2983 1.7627
150.7841 22.5 8.4894 101.5637 0.0539 19.4616 216.8696 42.6005 2.3403
206.3337 24.0 22.3640 218.3195 -0.0011 20.8061 263.4683 107.8369 1.8843
110.8037 25.5 17.1827 159.1684 0.0003 20.4691 271.3824 77.5578 1.9826
193.6036 27.0 20.6120 178.2000 0.0001 20.6508 292.2645 89.2074 1.9161
150.8889 28.5 22.5397 171.0136 -0.0027 20.6700 309.1110 94.1861 1.8664
203.7604 30.0 19.5572 168.9408 0.0002 20.5912 323.0091 74.8851 1.9772
253.3832 31.5 23.5958 185.7389 -0.0003 20.7555 344.3313 87.8583 1.9000
226.5625 33.0 27.5696 222.4335 -0.0005 20.9503 367.1898 97.6686 1.8656
184.2822 34.5 23.5588 211.1030 -0.0012 20.8188 379.3506 76.5823 1.9824
206.4635 36.0 21.0008 191.9874 0.0001 20.7041 391.7648 63.6707 2.0523
173.4857 37.5 12.8982 121.8695 -0.0084 20.1372 386.8585 35.2081 2.2771
260.8986 39.0 21.6497 257.5035 -0.0280 20.8591 430.4860 55.2524 2.1666
276.8295 40.4 28.2133 195.2344 -0.0133 20.8841 446.7253 79.2343 1.9055
264.7636 42.0 25.7795 191.9655 -0.0095 20.8181 461.8998 67.1377 1.9766
249.3616 43.5 29.1523 191.9655 -0.0089 20.8181 461.8998 67.1377 1.9766
81.3864 15.5 16.2120 127.2218 -0.0043 20.2586 161.5959 116.1830 1.8130
189.7460 16.5 25.5622 213.6983 -0.0006 20.8802 181.9932 174.9484 1.6798
150.7750 17.5 21.6142 195.6571 -0.0003 20.7254 190.3586 139.9942 1.7756
168.9925 18.5 15.3326 150.4898 0.0001 20.3538 194.4196 93.6893 1.9331
190.6542 19.5 20.4869 186.6774 -0.0002 20.6564 210.8772 120.8824 1.8313
249.1346 21.0 42.9940 312.0923 -0.0015 21.3714 242.3119 251.6332 1.5136
217.3819 22.5 49.1268 335.7208 -0.0037 21.4856 262.2284 274.6874 1.4753
249.1697 24.0 21.0291 170.2413 -0.0015 20.6282 259.1809 103.9591 1.8503
190.9413 25.5 28.2695 228.3676 -0.0007 20.9595 283.8413 133.6992 1.7656
217.3576 27.0 22.9289 192.3451 0.0000 20.7545 295.0551 100.5214 1.8613
249.2252 27.8 32.9992 192.3451 -0.0001 20.7545 295.0551 100.5214 1.8613
31.8807 1.5 6.0052 34.5920 0.0002 19.1658 13.6869 117.7599 1.7137
57.4813 2.5 6.6618 43.2877 -0.0088 19.3060 23.3611 120.1000 1.7343
79.9428 3.5 9.1045 147.2663 -0.0040 19.8165 34.6321 157.4028 1.8918
62.3486 4.5 11.6786 77.3862 0.0002 19.9152 45.0764 163.7162 1.6338
88.2042 5.5 13.5751 100.7708 0.0002 20.1136 56.2576 175.4082 1.6426
69.9413 6.5 13.4038 117.9726 0.0002 20.1512 66.7949 162.8763 1.7173
94.7849 7.5 11.7684 102.0163 0.0002 19.9974 75.8960 134.8826 1.7737
76.7410 8.5 6.8862 63.9253 -0.0006 19.3826 80.8778 77.0520 1.9842
99.5202 9.5 7.2654 55.4007 0.0003 19.4214 90.8421 75.3153 1.9431
133.6348 10.5 8.9051 67.4282 0.0001 19.6515 102.8443 85.6036 1.8947
149.4708 11.5 19.9212 142.4484 -0.0014 20.5157 122.5646 175.7999 1.6373
120.7423 12.5 10.9289 80.8408 0.0000 19.8748 125.3113 92.7264 1.8608
113.9154 13.5 19.0157 135.7888 -0.0006 20.4728 143.4124 151.8136 1.6815
150.1022 14.5 15.6884 116.5281 -0.0007 20.2707 151.1464 119.1154 1.7767
134.8694 15.5 24.4379 173.0136 -0.0028 20.7427 168.9238 177.3114 1.6283
150.9378 30.0 11.5290 106.0913 0.0004 19.9998 305.2923 42.2231 2.2023
168.7635 31.5 8.9085 82.5336 0.0004 19.6843 310.6179 30.1181 2.3362
111.0846 33.0 6.4340 55.8446 0.0010 19.3175 313.3691 19.9129 2.4776
190.9054 34.5 9.8727 95.0104 0.0006 19.8272 345.2079 29.5444 2.3488
289.4326 36.0 14.2510 151.0795 -0.0001 20.2792 376.4716 41.6413 2.2406
191.0376 37.5 18.3101 145.6029 -0.0044 20.4764 399.5592 53.2332 2.0808
151.0453 39.0 16.5269 124.3730 -0.0003 20.3471 410.5260 45.4099 2.1274
150.9881 40.5 14.2215 134.1737 -0.0108 20.2405 422.0344 34.9885 2.2843
249.5698 42.0 14.9753 156.1348 -0.0081 20.2096 436.4046 36.2253 2.3445
253.4694 43.5 8.3910 130.7127 -0.0162 19.6825 429.0233 17.7318 2.6725
298.9040 45.0 9.9432 104.3696 -0.0250 19.7101 445.1704 21.0471 2.5596
268.7162 46.5 17.0705 145.3450 -0.0018 20.4289 493.3544 35.2988 2.2524
339.9621 48.0 26.2054 202.0019 -0.0018 20.8700 530.4409 54.9185 2.0623
217.2417 49.5 21.8349 179.1871 -0.0013 20.6948 538.3572 42.0440 2.1781
313.4562 51.0 35.3354 246.5328 -0.0100 21.1380 577.2796 71.0525 1.9441
217.7610 52.5 23.5652 142.6150 -0.0123 20.6319 567.7222 44.0565 2.0927
97.5032 1.5 19.9771 122.9661 -0.0002 20.4630 15.5709 324.5858 1.3933
110.5100 2.5 26.2990 179.9102 -0.0004 20.8067 27.0467 388.9560 1.3754
100.4590 3.5 13.0956 89.2421 0.0000 20.0450 35.4301 195.2556 1.5802
111.7380 4.5 17.3624 148.7193 0.0001 20.4431 47.4222 237.5801 1.5907
116.4142 5.5 19.6478 185.6014 0.0000 20.6285 59.0820 247.8343 1.6099
118.7287 6.5 19.5172 189.3094 0.0000 20.6366 69.9438 229.9917 1.6401
143.0190 7.5 21.3486 216.4243 -0.0005 20.7649 81.7312 233.8569 1.6504
137.3313 8.5 18.4580 196.6550 0.0000 20.6136 91.4004 191.5580 1.7251
143.6352 9.5 21.0000 205.2877 -0.0004 20.7264 103.2632 203.9164 1.6805
160.8317 10.5 17.9243 198.3381 -0.0011 20.5960 112.8291 164.5273 1.7833
124.3309 11.5 15.2966 188.4097 -0.0004 20.4456 121.8784 132.7591 1.8833
142.5334 12.5 10.9575 144.9216 -0.0093 20.0174 127.1657 90.4791 2.0308
113.9154 13.5 10.4882 102.2522 -0.0001 19.8965 135.7585 83.2088 1.9709
131.1068 14.5 10.0564 109.8600 -0.0007 19.8731 145.5065 75.0451 2.0385
92.1298 15.5 10.8456 123.8921 0.0003 19.9817 157.2679 76.1770 2.0438
135.0202 16.5 10.2579 84.3002 0.0000 19.8260 164.6552 70.0528 1.9895
110.6689 17.5 6.1023 69.2341 0.0007 19.2652 164.8943 38.8115 2.2834
138.3385 18.5 6.8420 66.8773 0.0005 19.3873 176.6168 41.5519 2.2231
100.6789 19.5 8.2477 76.8750 0.0004 19.6047 190.4143 47.8257 2.1587
121.8357 21.0 9.0534 79.2719 0.0003 19.6916 207.1378 49.0757 2.1394
191.1984 22.5 9.0749 81.2397 0.0003 19.7080 222.3177 45.7201 2.1669
190.5466 24.0 13.8709 107.4444 0.0002 20.1550 247.8741 67.5187 1.9886
101.1214 25.5 8.3552 94.5640 0.0004 19.6611 250.8076 35.6825 2.3136
135.5005 27.0 8.0368 90.5255 0.0005 19.6130 264.2856 32.0139 2.3529
169.0314 28.5 12.7826 114.2394 0.0002 20.1048 292.9774 50.3918 2.1315
143.0298 30.0 11.6284 95.3179 0.0003 19.9745 304.5406 43.2637 2.1678
154.5160 31.5 14.5221 95.3179 0.0001 19.9745 304.5406 43.2637 2.1678
99.7299 1.5 16.0517 79.6577 -0.0001 20.1670 15.1375 251.3396 1.4061
121.0839 2.5 18.9004 108.0141 0.0000 20.3829 26.0151 281.2156 1.4139
81.7722 3.5 14.8260 101.8380 0.0001 20.1788 35.8616 218.0984 1.5522
85.5211 4.5 6.7962 52.5124 -0.0021 19.3295 42.4841 103.6065 1.8356
68.8852 5.5 9.8461 95.0684 -0.0057 19.7992 54.5490 133.4935 1.8113
89.3727 6.5 9.7785 105.2619 -0.0015 19.8172 64.6178 123.4419 1.8688
74.4530 7.5 6.7402 71.1353 -0.0016 19.3566 71.2493 81.3806 1.9998
83.2384 8.5 4.5817 46.8512 0.0018 18.9008 76.9177 53.2968 2.1407
53.4435 9.5 9.3602 141.3272 -0.0131 19.8265 94.7959 94.1220 2.0431
109.0977 10.5 7.2647 84.4252 -0.0396 19.4259 100.5593 69.4186 2.0850
95.4366 11.5 7.6573 87.1629 -0.0050 19.5401 111.5177 68.9188 2.0748
77.6267 12.2 6.5415 66.9394 -0.0198 19.3205 115.6464 56.6491 2.1154
56.5051 12.5 7.5644 63.0841 -0.0295 19.4617 120.2740 63.8960 2.0282
80.6549 13.5 8.5847 87.2114 -0.0052 19.6626 132.5254 68.2659 2.0502
71.9451 14.5 9.2649 102.1534 -0.0010 19.7768 144.0218 69.2434 2.0680
94.8113 15.5 8.3816 93.8025 -0.0056 19.6516 152.0471 59.2076 2.1284
100.6564 16.5 16.1311 129.8951 -0.0071 20.3146 172.8203 110.1895 1.8350
168.6864 17.5 24.6272 164.1959 -0.0015 20.7269 190.4948 164.6285 1.6354
168.7593 18.5 22.7740 154.8149 -0.0013 20.6500 199.9938 145.2526 1.6836
121.9083 19.5 17.4424 130.3404 -0.0071 20.3920 205.8228 104.4863 1.8235
92.3672 21.0 11.6921 79.5312 -0.0003 19.9317 212.0518 65.3279 1.9684
78.0342 22.5 9.4562 60.6750 -0.0003 19.6926 221.8683 49.1336 2.0626
99.2858 24.0 9.2365 65.8236 -0.0001 19.6858 236.5357 44.3960 2.1251
135.4255 25.5 19.1188 131.1308 -0.0001 20.4673 271.2341 90.3178 1.8524
239.3520 27.0 25.3029 197.4485 -0.0044 20.8086 296.4194 113.8148 1.8168
190.9878 28.5 22.9223 172.3248 -0.0002 20.6990 309.7989 96.1809 1.8540
223.4874 30.0 27.4699 217.4909 -0.0036 20.9294 333.0151 109.1655 1.8255
239.4079 31.4 34.9556 246.4174 -0.0029 21.1382 355.1437 136.9591 1.7128
249.5782 32.9 30.7288 145.6142 -0.0126 20.7956 360.8944 120.0501 1.6670
289.4090 34.5 30.4552 157.1533 -0.0031 20.8356 379.8396 111.3204 1.7073
239.4498 36.0 27.9628 138.2590 -0.0024 20.7305 392.5881 96.8392 1.7480
229.7132 37.0 20.0545 138.2590 -0.0034 20.7305 392.5881 96.8392 1.7480
27.8220 1.5 2.1774 27.8778 0.0130 17.3501 11.1095 66.5963 2.1843
67.3852 2.5 12.6098 69.4233 -0.0001 19.9334 24.9299 197.3994 1.5258
42.4219 3.5 4.9410 49.1307 0.0008 18.9136 31.4396 90.2437 1.9642
55.6123 4.5 2.7939 25.7175 0.0015 18.3191 37.9569 50.2709 2.1339
68.7943 5.5 4.9996 44.1036 0.0006 18.9978 50.1466 73.8177 1.9877
81.9356 6.5 5.2988 50.1860 0.0007 19.0754 59.8536 71.3444 2.0160
64.9591 7.5 4.5000 44.9389 0.0009 18.8791 67.6465 56.8936 2.1113
108.8514 8.5 3.3156 36.9263 0.0019 18.4979 73.5094 39.9917 2.2662
166.8324 9.5 5.2483 45.4285 -0.0017 19.0456 87.3480 55.7358 2.0897
133.7541 10.5 8.6090 83.0872 0.0000 19.6574 103.0022 82.5830 1.9704
123.0854 11.5 9.0885 81.9675 -0.0006 19.7082 113.4348 81.7266 1.9565
100.2470 12.5 14.7118 122.7579 -0.0041 20.2197 129.7403 122.7201 1.8022
122.0257 13.5 19.4178 177.0561 -0.0081 20.5985 145.2184 151.9649 1.7511
134.6520 14.5 22.0459 194.3751 -0.0028 20.7350 157.9742 164.6527 1.7150
152.4686 15.5 23.3454 195.5410 -0.0032 20.7758 169.5327 166.8644 1.6957
168.5235 16.5 18.8800 143.9316 -0.0005 20.4927 175.6200 129.9859 1.7517
181.7412 17.5 26.3808 183.5522 -0.0011 20.8200 192.0124 175.9553 1.6250
168.7393 18.5 20.9155 149.9166 -0.0037 20.5798 198.6021 132.3030 1.7313
168.6093 19.5 24.8559 165.7835 -0.0013 20.7338 212.3481 152.7045 1.6605
168.8584 21.0 21.5641 149.0422 -0.0002 20.6025 226.2218 123.0979 1.7457
216.9117 22.5 24.0741 149.0422 -0.0008 20.6025 226.2218 123.0979 1.7457
133.9553 1.5 13.1198 41.7679 0.0001 19.8058 14.6335 188.6343 1.4221
119.8845 2.5 40.6728 128.3220 -0.0001 20.8947 27.2776 495.8776 1.0580
107.9582 3.5 45.0276 166.3537 -0.0001 21.0543 38.7837 542.5183 1.0766
98.8543 4.5 37.8908 162.6012 0.0000 20.9652 49.6414 453.4198 1.1791
89.0455 5.5 36.8256 166.6260 0.0000 20.9614 60.7751 424.6174 1.2155
109.3549 6.5 31.3034 179.2835 -0.0002 20.8913 71.4640 350.8825 1.3546
107.0022 7.5 30.2520 166.8242 0.0000 20.8553 82.2905 323.3678 1.3605
98.4727 8.5 35.3402 179.2104 -0.0001 20.9735 94.3256 357.9219 1.3041
97.7887 9.5 8.6279 74.9942 0.0003 19.5317 91.8107 88.5396 1.9576
99.4358 10.5 4.2186 41.3320 0.0006 18.8040 93.9746 42.4686 2.2148
104.4717 11.5 10.9887 82.2758 0.0000 19.8753 115.2653 98.5508 1.8457
100.0874 12.5 16.6532 110.0625 -0.0010 20.2962 130.5698 140.4892 1.6878
109.9358 13.5 17.6814 119.7936 -0.0005 20.3715 142.0660 141.6232 1.6920
123.3160 14.5 23.3024 149.5345 -0.0015 20.6475 156.6162 178.3437 1.5980
121.5740 15.5 17.3502 114.7078 -0.0019 20.3430 162.7456 126.3030 1.7241
128.5243 16.5 23.6034 150.6072 -0.0065 20.6558 178.4136 165.0439 1.6241
121.8094 17.5 18.9932 146.7668 -0.0022 20.5008 186.5665 124.5015 1.7718
121.9908 18.5 18.0637 136.7681 -0.0010 20.4412 196.1532 113.3036 1.7976
122.1584 19.5 22.3565 170.9458 -0.0010 20.6825 211.4669 134.8394 1.7418
135.2403 21.0 28.4393 198.9315 -0.0027 20.9069 232.4784 163.8923 1.6501
168.7476 22.8 28.9794 198.9315 -0.0029 20.9069 232.4784 163.8923 1.6501
127.7356 1.5 11.6323 67.2798 0.0001 19.8547 14.6620 201.1118 1.5341
150.2792 2.5 28.6194 164.4991 0.0000 20.8173 27.0856 405.5055 1.3052
108.0018 3.5 30.1529 181.3575 0.0000 20.8910 38.3379 401.4453 1.3237
79.1713 4.5 23.2310 198.4356 -0.0002 20.7781 48.9230 308.0356 1.5147
105.1396 5.5 2.2524 54.0533 0.2776 17.9209 44.2987 45.4393 2.3854
107.3442 6.5 2.8304 87.1986 0.4084 18.3061 54.8993 52.4260 2.4005
90.0083 7.5 3.0391 113.6510 0.2897 18.2789 63.1782 48.6723 2.4996
120.5561 9.5 1.5446 85.0950 0.3032 16.4052 62.2990 25.5690 2.8338
83.7873 10.5 1.9698 88.5733 0.4226 17.3691 79.0477 27.6120 2.7292
134.1177 11.5 2.9996 126.1603 0.5120 18.4339 98.7526 36.4496 2.5984
149.7530 12.5 7.0078 182.4151 0.0554 19.5244 120.9790 59.2320 2.3689
134.6720 13.5 6.0806 239.0592 0.1557 19.5342 130.7936 49.5006 2.5296
100.4986 14.5 8.2939 180.2037 0.0571 19.7645 143.8667 61.4080 2.3007
150.0235 15.5 8.7332 135.5839 0.0387 19.6945 152.7484 62.0946 2.1988
69.5948 1.5 14.3567 72.7095 0.0000 20.0634 14.9746 230.9091 1.4421
109.2413 2.5 9.9826 97.3616 0.0002 19.8296 24.6427 180.1289 1.7152
98.3462 3.5 7.9848 79.3784 -0.0007 19.5676 33.7645 134.6538 1.8129
71.2392 4.5 8.3154 87.7296 -0.0005 19.6285 43.7918 127.1118 1.8494
96.2132 5.5 10.2516 106.2444 0.0002 19.8814 54.9922 139.3598 1.8146
97.8513 6.5 11.2070 115.0016 -0.0001 19.9874 65.7536 139.1850 1.8126
110.8330 7.5 14.6562 134.0634 0.0001 20.2699 78.0421 164.9613 1.7253
133.0579 8.5 18.8337 170.8287 -0.0002 20.5634 90.9741 195.5307 1.6686
109.2321 9.5 14.2738 119.0925 -0.0001 20.2053 98.3511 141.8381 1.7489
124.2101 10.5 17.6404 165.9034 0.0000 20.5012 111.8201 163.2205 1.7361
140.8887 11.5 21.6336 213.5074 -0.0001 20.7688 125.5989 187.2653 1.7081
200.4483 12.5 25.2506 268.6202 -0.0002 20.9900 139.2820 205.5566 1.7065
121.4045 13.5 18.3461 193.9953 -0.0002 20.6017 145.2455 142.7924 1.8149
136.7077 14.5 11.8992 124.8765 0.0001 20.0605 148.2011 88.7218 1.9726
132.5272 15.5 14.9208 146.4912 0.0000 20.3221 162.5126 105.5742 1.8918
152.5243 16.5 15.2321 158.3008 0.0001 20.3663 173.5424 102.0938 1.9205
165.2363 17.5 10.8272 139.2354 0.0001 20.0182 178.0375 67.8035 2.1175
154.3140 18.5 16.4618 145.1416 -0.0001 20.3962 195.2043 101.7218 1.8753
167.2389 19.5 15.9083 136.9290 0.0000 20.3463 204.8348 93.9760 1.8968
168.6959 21.0 17.7106 136.9477 -0.0007 20.4134 222.2580 99.2378 1.8564
168.8376 21.6 21.3799 149.9063 -0.0008 20.5614 231.8422 118.8869 1.7845
51.3907 1.5 9.5955 86.0083 -0.0005 19.7643 14.5423 192.9567 1.6656
68.3340 2.5 7.2624 72.0580 0.0006 19.4513 23.7130 139.2163 1.8016
69.0022 3.5 9.0898 83.5398 -0.0009 19.7024 34.2395 148.5967 1.7595
72.9319 4.5 7.7602 90.8258 -0.0002 19.5597 43.4768 121.0102 1.8957
59.6969 5.5 11.6610 108.6725 0.0001 20.0072 55.6773 155.2309 1.7488
97.3506 6.5 9.7842 109.5301 0.0001 19.8329 64.7282 123.7511 1.8793
107.7970 7.5 14.7058 115.7345 -0.0003 20.2231 77.6798 165.2229 1.6795
109.1373 8.5 15.5408 118.8114 -0.0001 20.2747 88.5300 163.4303 1.6748
133.4358 9.5 13.3942 112.8555 0.0001 20.1360 97.6850 133.6282 1.7703
109.3621 10.5 13.6251 105.0548 0.0001 20.1305 107.9571 128.2197 1.7585
167.5578 11.5 12.0601 101.9445 0.0002 20.0185 116.9868 107.4134 1.8444
134.3200 12.5 16.1706 126.0588 -0.0039 20.3187 130.9395 135.3414 1.7486
168.1218 13.5 20.3494 143.7965 -0.0010 20.5409 144.4420 162.3694 1.6569
189.9239 14.5 20.3986 142.5828 -0.0005 20.5391 155.1562 155.1700 1.6692
190.1608 15.5 26.7504 176.2470 -0.0006 20.8026 169.9601 195.7016 1.5818
216.4468 16.1 43.8854 176.2470 -0.0019 20.8026 169.9601 195.7016 1.5818
54.4267 1.5 4.4186 34.7340 0.0011 18.8604 13.2148 101.1957 1.8426
36.6677 2.5 3.3139 20.6606 -0.0297 18.5489 21.4899 67.9991 1.9295
50.9208 3.5 4.0874 26.3256 -0.0018 18.7672 31.0192 73.1750 1.9146
51.3082 4.5 5.3430 38.3478 0.0009 19.0759 41.3250 84.1868 1.8860
88.2802 5.5 6.1700 44.7634 0.0005 19.2367 51.4753 87.2488 1.8743
77.1576 6.5 12.6999 88.0536 -0.0005 20.0203 65.9650 153.6355 1.6675
107.7179 7.5 30.8170 210.5786 -0.0005 20.9741 83.3044 328.9901 1.4188
105.0078 8.5 17.1100 165.4163 -0.0026 20.4633 90.1072 178.5977 1.7212
91.1455 9.6 31.1841 221.5844 -0.0005 21.0144 107.1156 298.8050 1.4636
97.9317 10.6 14.0821 119.7641 0.0003 20.1996 109.7099 131.2715 1.7774
101.6300 11.5 14.4778 124.5535 0.0003 20.2369 119.4965 127.9592 1.7890
101.7119 12.5 21.3010 172.1086 -0.0005 20.6511 135.0918 176.9959 1.6673
99.0430 13.5 20.2619 160.7068 0.0002 20.5813 144.9808 160.5659 1.6922
107.6335 14.5 24.8767 187.3381 -0.0002 20.7928 158.8074 188.3256 1.6255
149.1197 15.5 15.9421 131.8713 0.0004 20.3328 162.6804 114.2933 1.8176
136.8133 16.5 24.3007 196.6044 -0.0024 20.7925 180.5414 167.0214 1.6864
114.0793 17.5 39.3318 267.5085 -0.0009 21.2448 199.4267 265.5147 1.4859
147.6127 18.5 31.0905 203.1956 -0.0011 20.9578 205.5464 201.2037 1.5650
163.3957 19.5 11.7888 114.3195 0.0002 20.0357 198.7902 68.5302 2.0377
102.9176 20.5 18.6340 136.0338 -0.0001 20.4572 217.6180 107.6894 1.8069
223.3525 22.0 40.1505 244.8546 -0.0028 21.2005 250.1359 230.1025 1.4995
112.0150 23.5 9.3498 141.2041 -0.0300 19.7690 233.6466 42.7203 2.3570
179.7501 25.0 17.7926 129.7631 -0.0005 20.4066 264.5023 84.7484 1.8931
214.6529 26.4 28.7226 214.8393 0.0001 20.9520 293.7132 132.6431 1.7406
154.4823 28.0 22.6893 194.7254 -0.0038 20.7543 305.9908 94.8615 1.8920
158.0268 29.5 18.2637 194.7254 -0.0012 20.7543 305.9908 94.8615 1.8920
99.0631 1.5 23.8907 100.8863 0.0000 20.4744 15.6080 341.0807 1.2773
118.6281 2.5 38.5135 174.3542 -0.0001 20.9973 27.5121 506.5548 1.1666
116.0749 3.5 31.1297 194.2453 0.0000 20.9357 38.4793 415.3862 1.3297
149.6384 4.5 32.1933 180.0168 0.0000 20.9263 49.5863 399.2997 1.3004
143.8433 5.5 34.6270 209.3485 0.0001 21.0420 61.3294 407.2306 1.3209
140.8458 1.5 24.9972 85.2489 0.0000 20.4569 15.5761 334.0758 1.2181
120.5773 2.5 44.0798 150.5185 -0.0001 20.9922 27.5166 538.0652 1.0490
32.3721 1.5 12.8052 98.9714 0.0002 20.0580 14.9704 236.0058 1.5596
76.0590 2.5 11.5125 92.6831 0.0003 19.9505 24.9495 196.1986 1.6300
79.9508 3.5 12.3412 96.5867 0.0003 20.0157 35.3298 188.9790 1.6353
83.0075 4.5 12.2303 99.3636 0.0003 20.0222 45.5437 173.6188 1.6722
95.4552 5.5 16.2814 126.9405 0.0002 20.3313 57.4605 206.9612 1.6047
81.7330 6.5 38.0850 206.7754 0.0001 21.0977 72.9285 421.1624 1.2794
180.0044 7.5 35.8855 211.4648 -0.0005 21.0481 83.8181 380.4339 1.3388
148.1618 8.5 38.5260 243.3863 0.0001 21.1851 96.2350 387.6065 1.3496
166.7184 9.4 41.1968 258.5466 0.0000 21.2489 107.0661 396.5502 1.3411
149.0879 10.5 41.3852 237.4466 -0.0001 21.1966 119.1101 380.4622 1.3221
189.3167 11.5 36.2276 232.8845 -0.0003 21.1242 129.6606 317.3755 1.4136
100.0851 12.5 32.3934 212.8010 0.0001 21.0154 139.6274 271.1265 1.4692
168.8896 13.5 33.5527 232.5824 0.0003 21.0827 151.7247 267.5379 1.4896
110.2211 14.5 16.4397 155.7317 0.0001 20.4204 153.4372 122.5950 1.8321
84.4087 15.5 16.3475 119.4718 0.0001 20.3158 162.4258 118.2190 1.7738
100.4016 16.5 11.0359 105.3128 0.0002 19.9528 166.7426 74.5749 2.0042
83.4689 17.5 11.4396 124.4866 0.0003 20.0359 178.3435 72.6480 2.0480
97.4497 18.5 9.6055 94.1302 0.0003 19.7931 184.0776 58.4896 2.0983
84.6955 19.5 8.2097 79.1182 0.0007 19.6062 190.4343 47.5050 2.1691
135.4961 21.0 10.4234 92.1555 0.0004 19.8663 210.7719 56.7032 2.0844
110.7809 22.5 13.8605 119.6653 0.0002 20.1883 233.0843 71.2226 1.9970
149.3513 23.4 14.6548 119.6653 0.0002 20.1883 233.0843 71.2226 1.9970
97.3052 1.5 10.0480 79.0952 0.0001 19.7898 14.5699 194.1494 1.6264
68.1141 2.5 12.5047 100.5273 0.0000 20.0439 25.1732 210.3733 1.6078
89.7006 3.5 11.8109 95.2303 0.0001 19.9807 35.1921 182.9010 1.6530
66.9102 4.5 12.7316 102.8478 0.0001 20.0651 45.7309 179.7636 1.6595
96.7103 5.5 20.3874 156.6526 0.0000 20.5718 58.7821 253.3064 1.5392
97.5755 6.5 32.4825 181.8850 0.0000 20.9386 71.8968 363.2326 1.3298
147.6158 7.5 25.7766 158.9178 0.0000 20.7388 81.5282 278.1799 1.4411
132.9818 8.5 38.3724 227.4134 0.0002 21.1402 95.8524 386.5782 1.3298
220.5005 30.0 28.9351 252.4034 0.0000 21.0491 336.7232 113.5281 1.8351
214.7059 31.5 22.9618 214.7274 -0.0020 20.8131 346.1492 82.7830 1.9642
260.8548 33.0 26.6232 215.4157 0.0000 20.9114 365.8954 94.0636 1.8803
214.7323 34.5 17.1690 198.5208 0.0021 20.3965 364.7475 54.0821 2.2529
226.5897 36.0 17.6000 170.9419 -0.0045 20.5021 384.4784 52.4425 2.1365
253.4407 37.5 7.5425 151.7607 -0.0585 19.5700 365.5993 18.5086 2.7189
289.7481 39.0 5.9043 134.4192 0.1175 19.3063 370.0312 14.7689 2.8188
285.3533 40.5 26.7042 166.2080 -0.0097 20.7775 443.7467 75.5881 1.8952
253.4551 42.0 27.9606 198.2646 -0.0004 20.8933 465.0678 73.8960 1.9389
340.0752 42.9 29.4440 198.2646 -0.0013 20.8933 465.0678 73.8960 1.9389
65.5416 1.5 8.2811 71.3724 0.0001 19.5843 14.2831 169.4955 1.6955
73.1572 2.5 9.6114 87.7154 0.0002 19.7723 24.5066 172.6461 1.7080
69.6460 3.5 8.9377 84.2537 0.0001 19.6905 34.1760 147.1990 1.7698
72.3845 4.5 6.3106 54.8700 -0.0002 19.2655 42.1887 98.5336 1.8822
96.2511 5.5 12.6239 111.4455 0.0001 20.0844 56.1001 166.0482 1.7112
97.4172 6.5 10.9049 100.8418 0.0001 19.9235 65.3368 135.3460 1.7914
118.9415 7.5 14.6307 130.0611 0.0000 20.2585 77.9545 164.6622 1.7165
108.8583 8.5 15.4701 143.6236 0.0000 20.3415 89.0973 162.6141 1.7334
108.8912 9.5 14.9237 132.0958 0.0000 20.2817 99.0603 147.8803 1.7501
91.3358 10.5 12.9241 120.5075 0.0001 20.1313 107.9621 121.3328 1.8302
100.3290 11.5 13.3402 120.7896 0.0000 20.1592 118.6000 118.0422 1.8313
100.2415 12.5 11.7749 107.6336 -0.0002 20.0145 127.1568 98.7523 1.8951
110.1105 13.5 14.6804 127.3705 0.0000 20.2555 140.5889 116.2785 1.8250
121.5804 14.5 15.9415 133.2654 0.0000 20.3374 152.2232 120.0147 1.8037
135.0352 15.5 20.7663 166.0360 -0.0001 20.6210 167.1454 149.1537 1.7186
134.8451 16.5 17.5898 140.3811 -0.0002 20.4323 174.6328 120.5494 1.7899
134.8286 17.5 22.5235 172.0363 -0.0001 20.6949 189.8359 148.4101 1.7075
150.4782 18.5 23.1920 183.5882 -0.0001 20.7426 201.5944 145.7759 1.7236
142.8894 19.5 23.1000 186.7554 -0.0001 20.7485 212.6463 138.6272 1.7462
138.4022 21.0 21.6671 180.1013 -0.0001 20.6884 228.0059 121.1621 1.7996
135.3420 22.5 18.7956 164.5128 -0.0001 20.5470 241.1466 97.4643 1.8888
142.9758 24.0 23.9588 194.8046 -0.0001 20.7926 263.1533 118.9530 1.7994
167.3674 25.5 25.2474 196.4242 -0.0001 20.8304 280.5755 119.1385 1.7875
190.9135 27.0 33.6074 247.8510 -0.0001 21.1219 304.9670 153.4504 1.6867
173.4262 28.5 23.8862 193.9206 -0.0001 20.7909 312.5169 99.2151 1.8619
169.1790 30.0 29.2791 193.9206 -0.0002 20.7909 312.5169 99.2151 1.8619
193.4027 1.4 16.9946 97.4490 0.0002 20.2702 14.2554 278.1391 1.4205
210.1650 2.5 32.3400 218.3930 0.0000 21.0274 27.5967 467.0264 1.3204
186.5078 3.6 36.8002 217.5055 -0.0001 21.0902 40.1587 476.5587 1.2660
205.2326 4.5 27.8238 225.4008 -0.0001 20.9572 49.7126 361.1770 1.4525
173.9260 5.5 30.7311 244.6968 -0.0001 21.0630 61.4405 370.0099 1.4398
155.6856 6.5 22.4298 199.6262 0.0001 20.7579 70.7237 260.8172 1.5753
165.5615 7.5 23.0771 198.6806 0.0001 20.7759 81.8103 251.3594 1.5762
153.2054 8.5 24.0500 202.3132 0.0000 20.8123 93.0776 246.4485 1.5747
178.6259 9.5 22.1957 197.1412 0.0001 20.7466 103.4596 215.4999 1.6323
170.4894 10.5 23.2581 202.0243 -0.0001 20.7888 114.8304 213.4492 1.6286
148.7890 11.5 22.7687 195.8187 -0.0001 20.7597 125.4828 198.3410 1.6482
166.8188 12.5 23.5872 204.4100 -0.0001 20.8057 137.0102 194.8497 1.6561
179.2903 13.5 27.8111 233.9916 -0.0002 20.9798 150.3513 218.5797 1.6118
168.9718 14.5 35.0432 289.2599 -0.0001 21.2347 165.1993 263.1413 1.5495
205.9966 15.5 32.1770 274.4791 -0.0002 21.1533 175.3571 230.2531 1.6009
198.2552 16.5 28.2749 234.8000 -0.0002 20.9916 183.8232 193.9058 1.6453
177.3969 17.5 30.1252 241.7293 -0.0001 21.0449 195.9447 198.4751 1.6275
235.7888 18.5 36.4891 280.1714 -0.0001 21.2361 210.6999 232.6241 1.5646
195.8972 19.4 37.9672 289.1787 -0.0002 21.2758 221.9768 233.5878 1.5607
146.0589 20.9 28.3305 244.9501 -0.0001 21.0062 233.5325 159.8806 1.7239
146.0916 22.5 18.0829 169.1222 -0.0001 20.5300 240.7651 92.9019 1.9242
142.9758 24.0 17.0614 165.6107 0.0000 20.4732 255.5076 81.5050 1.9818
177.6015 25.5 14.9667 152.3085 0.0001 20.3426 268.1543 66.3048 2.0630
175.5017 27.0 15.0630 127.7656 -0.0005 20.2635 281.7999 64.2943 2.0344
173.4262 28.5 9.4906 179.4804 0.0024 19.8253 285.0715 34.5392 2.5205
191.2236 30.0 30.5203 337.1407 -0.0009 21.2409 342.4637 116.3322 1.8972
211.8967 31.5 21.8224 228.4295 -0.0008 20.6682 341.5595 78.9371 2.0831
239.4219 33.0 18.4557 134.8915 -0.0113 20.4194 349.7055 64.6409 2.0064
217.7333 34.5 12.4535 135.0070 -0.0154 20.1262 355.5069 37.4043 2.2824
151.2086 35.7 9.3734 135.0070 -0.0330 20.1262 355.5069 37.4043 2.2824
74.4219 1.5 13.2575 83.2055 0.0001 20.0376 14.9412 229.5311 1.5063
69.5798 2.5 15.1198 96.5744 -0.0009 20.1838 25.5249 236.7440 1.5017
77.3481 3.5 10.3369 75.4424 0.0001 19.8064 34.5870 161.1928 1.6651
85.1849 4.5 13.4918 88.5904 0.0002 20.0705 45.7693 185.6604 1.5888
102.7253 5.5 19.1640 115.7174 0.0000 20.4161 57.9194 236.3532 1.4836
90.7236 7.5 17.0468 120.4061 -0.0025 20.3414 78.5699 188.9311 1.6044
132.4552 8.5 16.1575 126.1840 0.0002 20.3215 88.9150 169.5873 1.6703
164.9230 9.5 23.1157 158.6727 0.0000 20.6719 102.7562 225.3993 1.5398
170.4894 10.5 22.7961 160.9347 0.0000 20.6692 113.5858 210.9638 1.5693
176.8921 11.5 24.0914 177.9073 0.0001 20.7486 125.3488 211.2265 1.5828
151.2112 12.5 25.6409 184.3104 0.0001 20.8072 137.0259 214.0173 1.5701
175.7649 13.5 25.2464 184.6420 0.0001 20.7982 147.8959 200.7484 1.5960
178.7466 14.5 24.1624 174.7580 0.0002 20.7450 158.1203 183.4625 1.6216
177.3007 15.5 24.1579 171.8526 0.0002 20.7369 168.9293 175.4324 1.6317
190.4530 16.5 26.3409 185.1835 0.0002 20.8264 181.1168 183.3730 1.6142
166.5273 17.5 25.1104 178.0844 0.0002 20.7786 191.2896 167.0800 1.6470
167.8803 18.5 22.3493 159.5806 0.0003 20.6542 199.9690 141.8644 1.7039
164.7259 19.5 21.5460 158.7808 0.0003 20.6270 210.2765 130.4322 1.7413
169.6663 21.0 23.0921 163.1816 0.0003 20.6856 227.9503 131.9359 1.7260
186.4214 22.5 25.9649 184.4182 0.0002 20.8150 247.1646 140.1529 1.7079
176.8801 24.0 26.2452 185.6148 0.0002 20.8270 263.9738 133.4566 1.7223
198.9552 25.5 25.9519 179.2493 0.0002 20.8028 279.8819 124.7482 1.7402
178.3484 27.0 29.0142 185.1902 0.0000 20.8851 298.5920 134.1159 1.6933
169.1795 28.5 26.0296 175.1036 0.0001 20.7914 312.4117 112.0992 1.7707
190.9680 30.0 26.2244 180.9835 0.0002 20.8135 329.5481 106.3583 1.7950
182.0213 31.5 24.4438 164.8003 0.0003 20.7263 343.3129 93.5951 1.8347
191.1032 33.0 20.7617 144.2110 0.0003 20.5641 354.3496 73.7599 1.9282
257.4241 34.5 31.2418 205.5403 0.0001 20.9784 384.7630 110.0200 1.7712
191.0810 36.0 29.5437 201.2453 0.0002 20.9390 400.0898 97.5167 1.8224
217.6268 37.0 32.8660 201.2453 0.0001 20.9390 400.0898 97.5167 1.8224
68.2305 1.5 12.6369 79.0297 0.0000 19.9866 14.8635 220.0137 1.5179
98.3074 2.5 7.4100 76.0025 0.0005 19.4400 23.6556 141.8925 1.8155
62.3008 3.5 10.4714 68.1847 -0.0120 19.6818 34.2257 158.7888 1.6692
109.6005 4.5 15.3989 107.9496 0.0000 20.2333 46.4959 209.7961 1.5683
87.5267 5.5 18.2079 137.4564 -0.0001 20.4410 58.0590 228.5040 1.5657
115.8804 6.5 21.2588 154.0337 0.0000 20.6021 69.7227 246.7307 1.5280
171.5287 7.5 21.7232 171.6226 0.0000 20.6637 80.9633 237.4974 1.5668
146.5395 8.5 23.7908 168.3922 -0.0004 20.7110 92.2406 244.1032 1.5247
187.1938 9.5 26.2258 194.2958 -0.0001 20.8448 104.3982 253.8939 1.5266
172.5236 10.5 29.9026 232.7667 -0.0004 21.0184 117.2389 273.3569 1.5195
145.5464 11.5 26.6902 217.2315 -0.0002 20.9135 127.2444 232.2087 1.5830
168.4190 12.5 24.4509 193.5969 -0.0017 20.7951 136.8716 203.1210 1.6167
161.2213 13.5 21.7851 198.5769 -0.0010 20.7379 147.0928 170.6829 1.7132
134.6603 14.5 19.1154 199.6930 -0.0013 20.6467 156.7020 141.1224 1.8159
155.9336 15.5 23.8537 236.6284 -0.0006 20.8863 171.2388 168.2684 1.7452
163.2803 16.5 4.8307 120.6413 0.0933 18.8930 149.2509 32.5359 2.5685
123.4363 17.5 3.1458 78.8773 0.2200 18.3984 149.7799 21.7356 2.6760
179.5927 18.5 5.9391 122.6012 0.0599 19.2328 173.7639 35.1483 2.4896
165.3059 19.5 11.0670 117.1438 -0.0096 19.9416 196.9768 63.9244 2.0978
168.9441 21.0 36.5327 235.7728 -0.0006 21.1316 237.3192 215.0361 1.5357
98.1019 1.5 6.2172 39.7702 -0.0154 19.1682 13.7165 123.2486 1.7313
78.6481 2.5 10.8026 89.6256 0.0001 19.8835 24.7733 187.0388 1.6550
89.3184 3.5 7.3529 82.2075 -0.0014 19.4421 33.2916 127.3688 1.8741
104.5179 4.5 8.8346 86.7959 0.0003 19.6809 44.0299 132.9150 1.8153
126.0384 5.5 14.8213 147.5476 0.0002 20.3108 57.3319 192.8633 1.7020
130.8358 6.5 21.0260 180.8623 -0.0001 20.6652 70.1349 245.3820 1.5833
132.0370 7.5 22.4267 193.6122 -0.0001 20.7433 81.5629 244.7698 1.5850
132.5571 8.5 17.3024 178.4901 -0.0001 20.4989 90.4019 180.5440 1.7413
133.7479 9.5 15.3776 131.0752 0.0000 20.2888 99.1109 152.3524 1.7357
148.8975 10.5 13.0429 138.6984 0.0003 19.9696 106.1976 122.8177 1.9267
134.1405 11.5 2.6421 114.3203 0.0019 17.7066 90.5120 27.0825 2.7565
134.4387 12.5 32.7623 254.7085 -0.0065 21.1060 140.7705 270.5160 1.5277
149.9737 13.5 30.9862 298.1214 -0.0002 21.1849 153.0987 240.7649 1.6254
134.6113 14.1 32.3114 291.7828 0.0001 21.1928 160.0582 245.0749 1.5985
209.1321 31.5 22.8791 176.9074 0.0035 20.3148 330.5801 90.6951 2.0927
351.6122 33.0 38.8645 248.9160 -0.0002 21.1987 375.3738 147.8533 1.6603
328.9600 34.5 36.3594 262.2569 0.0000 21.1963 392.3744 127.5212 1.7434
298.8572 36.0 31.8788 243.3559 0.0000 21.0832 405.3784 103.6671 1.8305
318.4643 37.5 30.6260 233.0552 -0.0001 21.0324 420.4077 94.1140 1.8646
351.6799 39.0 19.0078 176.6921 -0.0025 20.5565 418.6610 51.8116 2.1506
329.0091 40.5 33.0230 247.8649 -0.0033 21.1111 457.2429 92.1920 1.8673
223.5684 42.0 24.5950 206.9229 -0.0004 20.8408 462.8449 61.8918 2.0393
190.7979 43.5 20.7443 259.9446 -0.0346 20.8348 479.1433 44.0915 2.2616
249.8593 45.0 23.3960 144.1839 -0.0152 20.6365 486.7726 55.6755 2.0088
363.9616 46.5 29.2041 147.9454 -0.0197 20.7670 509.0775 70.5607 1.8793
444.2261 48.0 28.3294 181.6504 -0.0185 20.8402 529.0035 62.1961 1.9774
329.0582 49.5 28.1303 186.6390 -0.0117 20.8553 546.2951 58.4694 2.0102
345.8616 50.2 39.5568 186.6390 -0.0037 20.8553 546.2951 58.4694 2.0102
3.0414 1.5 7.0335 52.9536 0.0002 19.3818 13.9824 143.3790 1.7113
62.1752 2.5 10.7016 80.8622 0.0001 19.8507 24.6986 182.5032 1.6347
84.7941 3.5 13.5626 107.6719 0.0001 20.1328 35.7231 205.5430 1.6113
85.8535 4.5 13.5646 112.5695 -0.0018 20.1355 46.0509 190.0547 1.6522
119.8113 5.5 18.5139 141.6709 -0.0004 20.4664 58.1956 232.1886 1.5647
125.5320 6.5 18.8022 154.2815 0.0000 20.5159 69.1551 221.2746 1.6000
127.3191 7.5 20.5446 170.1632 0.0000 20.6236 80.6731 225.4575 1.5966
144.9478 8.5 22.9877 182.7758 0.0000 20.7310 92.3882 236.2996 1.5699
122.7951 9.5 21.9071 184.5160 -0.0002 20.7048 103.0704 213.0394 1.6198
162.7039 10.5 25.8514 214.4934 -0.0001 20.8858 115.8461 236.8493 1.5835
168.9243 11.5 26.8914 253.0497 0.0000 21.0039 128.2874 231.9430 1.6287
128.2889 12.5 15.2434 164.0232 0.0001 20.3840 131.7485 125.7963 1.8599
128.3605 13.5 13.8812 156.6537 0.0002 20.2859 140.9979 108.3651 1.9232
149.0645 14.5 12.7501 183.5256 -0.0035 20.1600 149.6591 93.1984 2.0824
173.0934 15.5 10.6421 215.8860 0.0204 20.0330 157.9997 72.2381 2.2674
161.4163 16.5 7.1884 159.3632 0.0160 19.4996 159.2701 46.7121 2.4152
169.1479 17.5 7.9316 196.1834 0.0140 19.7395 173.1419 47.6349 2.4279
148.2094 18.5 8.4041 155.3703 0.0311 19.5681 179.8945 49.8998 2.3883
122.8706 19.5 4.8635 102.0556 0.1204 18.9159 177.0737 27.5821 2.5788
163.4419 21.0 3.5148 82.2631 0.2635 18.6034 184.3108 19.8236 2.6911
147.7005 22.5 4.1598 101.8485 0.1419 18.8045 202.0072 20.4302 2.7022
147.7225 24.0 5.8762 134.5472 0.0861 19.2306 225.7277 25.9346 2.6301
153.3230 25.5 5.9487 155.6447 0.0415 19.3094 241.8699 23.6472 2.6827
179.7985 28.5 11.9861 183.7337 0.0077 20.1838 295.2602 44.2772 2.3214
187.4329 30.0 5.8373 112.7502 0.0937 18.9153 272.8440 21.4828 2.7638
191.2361 31.1 11.0182 112.7502 0.0126 18.9153 272.8440 21.4828 2.7638
150.8525 15.5 32.4700 215.8869 0.0000 21.0247 173.3816 237.8583 1.5137
149.8539 16.5 31.8899 235.5616 0.0000 21.0648 185.0297 221.6583 1.5683
216.7175 17.6 41.5632 235.5616 0.0000 21.0648 185.0297 221.6583 1.5683
36.0090 1.5 15.6619 86.9749 0.0000 20.1738 15.1486 255.2651 1.4372
108.3092 2.5 16.2570 119.0558 -0.0001 20.3061 25.8170 258.6022 1.5161
109.4021 3.5 19.1348 141.5338 -0.0002 20.4926 36.9568 275.1803 1.5002
105.4988 4.5 16.2859 125.9053 0.0000 20.3302 46.9165 222.4609 1.5791
78.5600 5.5 10.8544 90.7252 -0.0002 19.8857 55.0193 144.6070 1.7418
96.1171 6.5 14.0061 115.9346 0.0001 20.1843 67.0217 169.0503 1.6864
124.7542 7.5 15.5551 118.1544 -0.0004 20.2722 78.0540 173.8824 1.6535
134.4574 8.5 18.7323 148.4640 -0.0008 20.4988 90.4309 194.6687 1.6293
158.7883 9.5 21.8296 147.1347 0.0001 20.5999 102.0792 213.4309 1.5509
200.0904 10.5 16.6366 143.9566 0.0000 20.3961 110.7233 154.7726 1.7300
153.8432 11.5 15.4194 123.2379 0.0000 20.2811 120.0023 136.3693 1.7483
133.7150 12.5 12.8902 103.8819 0.0001 20.0833 128.0082 108.4532 1.8283
287.4120 13.5 13.1512 113.8565 0.0000 20.1093 138.6067 104.5571 1.8693
211.3712 14.5 26.9410 195.9616 -0.0005 20.8639 159.8417 204.4476 1.5902
206.3986 33.0 14.6359 224.6175 -0.0448 20.4547 350.8522 43.9437 2.3285
308.4718 52.0 24.8334 377.1207 -0.0182 21.1983 591.7552 41.3407 2.3308
118.6578 2.5 24.8966 100.3946 0.0003 20.5307 26.3876 334.9481 1.2569
108.0395 5.5 38.2411 127.3516 0.0006 20.8618 60.3407 431.9502 1.1176
120.9578 8.5 33.8928 180.5159 0.0003 20.9550 94.2855 343.3540 1.3312
119.2387 11.5 28.5612 166.2988 -0.0007 20.7904 125.8076 252.7725 1.4740
150.5567 14.5 26.0550 182.0665 -0.0010 20.8001 158.9054 198.3130 1.5917
150.5601 17.5 57.0771 269.0237 0.0000 21.4161 202.4089 405.8327 1.2429
150.8338 19.4 52.4897 246.9963 0.0001 21.3302 223.0279 347.0240 1.2913
92.4674 22.7 41.1794 181.7826 0.0003 21.0603 254.9359 239.9856 1.3941
122.2859 25.9 44.0426 196.8266 0.0005 21.1317 292.7824 230.0046 1.4122
169.3359 28.9 43.7383 214.8548 0.0004 21.1744 327.9795 202.6643 1.4810
177.6255 31.9 44.8708 216.6004 0.0002 21.1892 362.5432 188.7710 1.5007
152.7698 33.8 34.1915 229.3683 0.0000 20.9616 376.5077 128.6638 1.8210
217.3308 35.3 58.7026 274.3799 -0.0003 21.4389 410.0348 227.8822 1.4278
135.6212 37.0 53.7849 227.4148 -0.0003 21.2946 424.4600 199.3829 1.4482
128.7599 40.0 34.1022 182.8788 -0.0002 20.9684 445.8871 103.7415 1.7420
135.6448 43.0 41.6389 146.8298 0.0000 20.9670 479.3039 127.0149 1.5713
151.1338 45.8 51.6396 265.1314 0.0000 21.3656 528.7802 137.8836 1.6278
191.6498 49.5 42.5799 250.5630 -0.0069 21.2448 565.5641 95.2535 1.7956
249.9140 50.9 46.0285 291.1066 -0.0039 21.3627 587.5596 97.9438 1.8081
290.1520 52.3 38.8654 464.7317 -0.0137 21.5700 614.5918 73.3670 2.1029
294.3005 54.6 51.4057 464.7317 -0.0101 21.5700 614.5918 73.3670 2.1029
229.7543 57.1 39.5008 260.8031 -0.0013 21.2336 651.8266 66.6440 1.9539
340.1085 58.7 45.9232 396.0598 -0.0032 21.5759 690.1948 69.5129 2.0037
78.0652 14.1 9.4054 70.5502 -0.0004 19.7093 139.1874 73.0213 1.9510
85.2249 24.0 6.5153 42.9857 -0.0002 19.2943 227.2506 30.6207 2.2533
122.4252 34.0 17.0145 126.0594 -0.0012 20.3660 358.4899 56.4323 2.0416
129.4679 14.0 22.4547 131.0515 -0.0028 20.5586 150.0334 176.8935 1.5769
191.3407 18.0 21.9696 149.8471 0.0007 20.6101 193.7526 142.9628 1.6902
191.2274 22.0 16.2287 131.9714 -0.0003 20.3474 231.4024 86.0381 1.9128
249.5059 28.0 38.4213 260.2261 -0.0009 21.2163 318.9208 172.6777 1.6238
193.4027 32.0 22.7568 150.7292 -0.0082 20.6362 346.0111 84.7890 1.8677
207.4638 9.5 43.8779 193.3724 0.0003 21.1197 106.9849 423.7184 1.2091
139.9470 16.5 33.2902 169.4751 -0.0011 20.9122 182.5250 239.6628 1.4334
133.6106 22.0 44.6182 257.7120 -0.0001 21.2845 251.9813 258.9423 1.4451
110.9376 26.1 17.3954 118.8488 0.0000 20.3576 274.8624 79.6084 1.8994
127.4312 36.0 17.5460 124.6260 -0.0007 20.3810 380.1466 54.4667 2.0510
136.9083 23.0 27.6284 150.7340 0.0002 20.7592 251.3981 151.2229 1.6109
135.7064 27.0 37.7576 165.3691 0.0001 20.9712 300.9001 187.7234 1.4776
223.3660 36.0 5.5629 100.0547 0.1411 19.1522 335.9049 15.0364 2.7610
169.2771 25.5 20.8253 144.7903 -0.0132 20.5531 273.5256 98.3568 1.8220
188.8459 34.5 37.7622 239.7386 0.0001 21.1629 391.2224 135.8970 1.6877
188.4118 17.0 33.7457 175.7688 0.0003 20.9422 188.5822 237.6603 1.4429
149.7268 23.9 24.7074 153.7383 0.0001 20.7006 259.8554 127.5785 1.7049
230.1651 32.0 29.9110 162.3237 -0.0009 20.8394 352.5017 118.0487 1.6976
294.3935 41.6 26.1071 185.2056 0.0034 20.7471 454.5447 73.1760 1.9655

So, 569 Gmax measurements. You probably noted that I removed some ID parameters or other parameters which I guessed don’t have much predictive ability on the Gmax. A more rigorous procedure could have been followed here but this will do for now. Vs is also removed since it’s basically a duplicate of Gmax.

4.2 Data overview

So, the data_ml dataset (above table) is what we are going to use to train our models. Let’s get a very short overview of these data.

ggplot(data_ml) +
  geom_point(aes(.panel_x, .panel_y), alpha = 1/5, size = 1) +
  facet_matrix(vars(Gmax:Ic)) +
  geom_smooth(aes(.panel_x, .panel_y),
              se = FALSE, span = 1, alpha = 0.25, size = 1.5, color = col_r) +
  coord_cartesian(expand = c(0, 0)) +
  theme(panel.grid.major = element_blank(),
        axis.text = element_blank(),
        axis.ticks = element_blank())
_Relationship between `Gmax` and other parameters._

Relationship between Gmax and other parameters.

The previous plot shows the relationship of Gmax to the other predictive parameters. Here we can get an idea on the predicting power of these parameters. It looks like Gmax has a strong relationship to Depth, unit weight (UW) and effective vertical stress (SV0P). To my surprise, it looks like Ic doesn’t have a clear relationship with Gmax 🤨.

4.3 Data split

We need to split the data into:

  • train data: used to train the ML models (65 % of the data or 372 data points);
  • test data: used to test the ML models (35 % of the data or 197 data points).
# splitting
set.seed(1)
data_split <- initial_split(data_ml, prop = 0.7, strata = "Gmax")
data_train <- training(data_split)
data_test <- testing(data_split)

To avoid over-fitting and to allow some parameter tuning later, we also need to generate some resampling through cross validation.

# resampling
set.seed(1)
folds <- rsample::vfold_cv(data_train, v = 10)
rec <- recipe(Gmax ~ ., data = data_train)
metric <- metric_set(rmse, rsq)

# control settings
ctrl_grid <- control_stack_grid()
ctrl_res <- control_stack_resamples()

What the recipe function says it is simply that we are trying to predict one outcome, which is Gmax, from 8 predictors (the rest of the parameters). It may look like these are a lot of predictors, which is kinda true, but these are dealt with using the step_* functions, which allow for some data preprocessing. For example, step_corr removes highly correlated predictors, to avoid overlapping. The recipe serves like the basis of model definitions, i.e. it will be a common feature for all models. After this, each model will develop it’s own characteristics.

We also specified also some metrics (rmse, rsq) which we are going to use to evaluate the performance/accuracy of the model. I particularly like to use the rmse (root mean square error) metric, since the result has the same unit as the predicted parameter and it’s easier to get an idea of the level of accuracy and if it is acceptable to us.

4.4 Models

Here we specify and train our models. I will obviously not go into great details here. Everything that I am going to use here comes from the tidymodels metapackage, which is a collection of R packages for modeling and machine learning. It enables working with different ML models through a unified syntax (and much more). As you will notice later, we can switch from one ML model to another with minor changes in the code.

Let’s list all the models we are going to use:

  • Linear Regression (LR);
  • K-Nearest Neighbor (KNN);
  • Splines (SPL);
  • Random Forest (RF);
  • XGBoost (XGB).

Move through the tabs to see the code for specifying and fitting all models:

LR

Linear Regression:

# create a model definition
lr_spec <-
  linear_reg() %>%
  set_engine("lm")

# extend the recipe
lr_rec <-
  rec %>%
  step_dummy(all_nominal()) %>%
  step_zv(all_predictors(), skip = TRUE)

# add both to a workflow
lr_wflow <- 
  workflow() %>%
  add_model(lr_spec) %>%
  add_recipe(lr_rec)

# fit to the 5-fold cv
set.seed(2021)
lr_res <- 
  fit_resamples(
    lr_wflow,
    resamples = folds,
    metrics = metric,
    control = ctrl_res
  )

KNN

K-Nearest Neighbor:

# create a model definition
knn_spec <-
  nearest_neighbor(mode = "regression", 
                   neighbors = tune::tune("k")) %>%
  set_engine("kknn")

# extend the recipe
knn_rec <-
  rec %>%
  step_dummy(all_nominal()) %>%
  step_zv(all_predictors(), skip = TRUE) %>%
  step_meanimpute(all_numeric(), skip = TRUE) %>%
  step_normalize(all_numeric(), skip = TRUE)

# add both to a workflow
knn_wflow <- 
  workflow() %>% 
  add_model(knn_spec) %>%
  add_recipe(knn_rec)

# tune k and fit to the 5-fold cv
set.seed(2021)
knn_res <- 
  tune_grid(
    knn_wflow,
    resamples = folds,
    metrics = metric,
    grid = 4,
    control = ctrl_grid
  )

SPL

Splines:

# create a model definition
spl_spec <- 
  linear_reg() %>%
  set_engine("lm")

# extend the recipe
spl_rec <-
  rec %>%
  step_ns(SCPT_RES, UW, deg_free = tune::tune("length"))

# add both to a workflow
spl_wflow <- 
  workflow() %>% 
  add_model(spl_spec) %>%
  add_recipe(spl_rec)

# tune length and fit to the 5-fold cv
set.seed(2021)
spl_res <- 
  tune_grid(
    spl_wflow, 
    resamples = folds, 
    grid = 8,
    metrics = metric,
    control = ctrl_grid
  )

RF

Random Forest:

# create a model definition
rf_spec <- 
  rand_forest(min_n = tune(), trees = tune()) %>% 
  set_mode("regression") %>% 
  set_engine("randomForest")

rf_grid <- 
  grid_regular(parameters(rf_spec), levels = 4, filter = c(trees > 1))

# extend the recipe
rf_rec <-
  rec %>% 
  step_nzv(all_predictors()) %>% 
  step_corr(all_numeric(), -all_outcomes()) %>% 
  step_lincomb(all_numeric(), -all_outcomes()) %>% 
  step_normalize(all_numeric(), -all_outcomes()) %>% 
  step_dummy(all_nominal())

# add both to a workflow
rf_wflow <- 
  workflow() %>% 
  add_model(rf_spec) %>%
  add_recipe(rf_rec)

# tune and fit to the 5-fold cv
set.seed(2021)
rf_res <- 
  tune_grid(
    rf_wflow,
    resamples = folds,
    grid = rf_grid,
    metrics = metric,
    control = ctrl_grid
  )

XGB

XGBoost:

# create a model definition
xgb_spec <- 
  boost_tree(
    trees = 1000,
    tree_depth = tune(),
    min_n = tune(), 
    loss_reduction = tune(),
    sample_size = tune(), 
    mtry = tune(),
    learn_rate = tune()
  ) %>% 
  set_engine("xgboost") %>% 
  set_mode("regression")

xgb_grid <- 
  grid_latin_hypercube(
    tree_depth(),
    min_n(),
    loss_reduction(),
    sample_size = sample_prop(),
    finalize(mtry(), data_train),
    learn_rate(),
    size = 40
  )

# add recipe (formula) and merge into a workflow
xgb_wflow <- 
  workflow() %>%
  add_formula(Gmax ~ .) %>%
  add_model(xgb_spec)

# tune and fit to the 5-fold cv
set.seed(2021)
xgb_res <- 
  tune_grid(
    xgb_wflow,
    resamples = folds,
    grid = xgb_grid,
    metrics = metric,
    control = ctrl_grid
  )

4.5 Stacking and fitting

After defining and fitting all models, it’s time to ensemble the results of these models in a data stack, named gmax_st.

gmax_st <- 
  stacks() %>%
  add_candidates(lr_res) %>%
  add_candidates(knn_res) %>%
  add_candidates(spl_res) %>%
  add_candidates(rf_res) %>%
  add_candidates(xgb_res)
gmax_st
## # A data stack with 5 model definitions and 65 candidate members:
## #   lr_res: 1 model configuration
## #   knn_res: 4 model configurations
## #   spl_res: 8 model configurations
## #   rf_res: 12 model configurations
## #   xgb_res: 40 model configurations
## # Outcome: Gmax (numeric)
# table
func_tbl(as_tibble(gmax_st))
Gmax lr_res_1_1 knn_res_1_1 knn_res_1_2 knn_res_1_3 knn_res_1_4 spl_res_8_1 spl_res_2_1 spl_res_3_1 spl_res_1_1 spl_res_6_1 spl_res_7_1 spl_res_4_1 spl_res_5_1 rf_res_1_01 rf_res_1_04 rf_res_1_07 rf_res_1_10 rf_res_1_02 rf_res_1_05 rf_res_1_08 rf_res_1_11 rf_res_1_03 rf_res_1_06 rf_res_1_09 rf_res_1_12 xgb_res_1_13 xgb_res_1_07 xgb_res_1_40 xgb_res_1_26 xgb_res_1_04 xgb_res_1_05 xgb_res_1_11 xgb_res_1_23 xgb_res_1_14 xgb_res_1_02 xgb_res_1_38 xgb_res_1_35 xgb_res_1_24 xgb_res_1_06 xgb_res_1_31 xgb_res_1_19 xgb_res_1_29 xgb_res_1_18 xgb_res_1_37 xgb_res_1_17 xgb_res_1_25 xgb_res_1_16 xgb_res_1_08 xgb_res_1_22 xgb_res_1_30 xgb_res_1_15 xgb_res_1_32 xgb_res_1_39 xgb_res_1_28 xgb_res_1_12 xgb_res_1_01 xgb_res_1_03 xgb_res_1_36 xgb_res_1_21 xgb_res_1_27 xgb_res_1_10 xgb_res_1_09 xgb_res_1_33 xgb_res_1_20 xgb_res_1_34
59.4335 47.91292 -0.4830820 -0.1809518 -0.1233797 -0.1103343 52.05048 50.55642 48.24829 42.84590 39.78668 29.44534 29.33304 31.03248 52.40150 53.02431 60.63795 65.58754 50.77263 53.13388 60.88691 66.42314 51.00798 53.68571 60.21096 65.33643 42.90629 0.8388292 0.5000361 0.5004579 68.37595 0.5007741 0.7197037 6.595193 72.85549 31.36075 0.5140033 0.5036542 0.5000576 0.5001262 0.5001234 0.5025543 0.5000000 18.49698 4.136846 1.0177947 0.5012271 0.5182269 0.5000000 69.94178 0.6619861 74.14263 91.38657 0.5040827 3.475302 1.394722 0.5416999 1.682711 11.41992 0.6013493 50.07919 0.5148821 80.88851 25.76728 0.5002821 12.53521
24.3470 41.08641 -0.4935131 -0.1511293 -0.0640164 -0.0648019 39.95377 41.01345 42.09746 41.71721 41.63366 40.11905 40.82293 42.12071 52.30073 55.57109 61.20619 67.90340 52.88189 55.67460 61.68053 66.66958 52.73665 55.36882 61.65828 66.17516 41.94175 0.8344765 0.5000325 0.5004506 52.18856 0.5007685 0.7189975 6.180319 59.84163 30.29614 0.5141625 0.5035322 0.5000537 0.5001199 0.5001231 0.5025818 0.5000000 21.33071 3.910152 0.9926884 0.5011677 0.5174288 0.5000000 57.78062 0.6606944 68.68515 75.91452 0.5040415 3.302346 1.347928 0.5389233 1.624138 11.77449 0.5934607 51.32167 0.5141747 79.18662 32.23507 0.5002781 12.22417
69.2142 46.38997 -0.0721428 0.0914775 0.1206845 0.1267185 47.14662 45.54495 45.83936 43.84905 43.44482 44.68242 46.00688 46.49339 44.70974 51.84850 58.59146 66.13334 45.02797 52.34313 59.67667 67.06763 44.73411 51.71168 60.77202 66.97128 42.30452 0.8512266 0.5000351 0.5004692 78.32859 0.5007994 0.7291187 6.401665 72.21329 31.95346 0.5143410 0.5037630 0.5000564 0.5001252 0.5001243 0.5025887 0.5000000 20.68271 4.081328 1.0112001 0.5012531 0.5181133 0.5000000 68.34310 0.6660970 77.72224 106.04015 0.5040411 3.463301 1.374529 0.5418103 1.698152 11.59395 0.6033776 55.55285 0.5144902 88.16061 28.80678 0.5002887 12.72254
72.9922 71.66930 0.1307267 0.2040374 0.4090048 0.4520776 68.17377 68.23761 67.44143 68.66394 68.24928 71.67905 69.48989 67.57294 95.41044 93.55854 90.49653 87.70255 95.61788 93.85063 90.40088 87.76066 94.76766 93.72911 91.74079 87.12368 76.88879 0.8512266 0.5000585 0.5004523 65.21169 0.5007558 0.7167680 8.996088 66.83158 31.79402 0.5142940 0.5036882 0.5000564 0.5001356 0.5001243 0.5025819 0.5000000 37.21519 5.275109 1.0345172 0.5012968 0.5180151 0.5000002 68.08412 0.6660438 70.31761 68.28301 0.5040325 3.590575 1.387026 0.5441694 1.698152 20.87642 0.6033776 108.95676 0.5158760 74.69517 56.22789 0.5002887 12.72254
88.1149 89.09488 0.7871913 0.9195617 0.8424225 0.8323043 83.14194 83.26546 83.90416 83.15587 84.67228 80.31215 84.22732 85.38153 91.97754 90.67878 90.01302 90.57239 91.28141 90.52633 90.28940 89.84416 91.49185 91.06453 90.03968 89.53173 81.00970 0.8405257 0.5000596 0.5004610 85.80363 0.5008118 0.7421640 9.597329 79.98391 38.84223 0.5141379 0.5041649 0.5000562 0.5001668 0.5001240 0.5025738 0.5000000 40.28735 5.965114 1.1579220 0.5012432 0.5202984 0.5000043 84.87459 0.6634461 79.17978 59.00490 0.5042089 4.083501 1.572922 0.5562716 2.014619 22.86083 0.6023485 94.34824 0.5222431 75.75694 62.40340 0.5002925 16.07458
131.2674 76.77483 2.2199490 1.9755714 1.5850697 1.4370802 74.06143 72.91369 69.84405 68.36913 68.02273 71.16550 67.93000 67.99326 76.67874 80.27981 82.51381 82.45800 77.75482 79.31417 81.13171 82.04718 77.24241 78.72309 81.27949 81.69754 71.45509 0.8344765 0.5000592 0.5004584 49.94070 0.5007809 0.7158109 8.829621 59.45472 32.86836 0.5141573 0.5035226 0.5000541 0.5001460 0.5001231 0.5025809 0.5000000 36.72670 5.593132 1.0756909 0.5011865 0.5187074 0.5000005 59.34109 0.6609994 68.52846 67.98535 0.5040972 3.679259 1.459819 0.5487415 1.724161 20.73411 0.5934607 79.82677 0.5208737 76.94817 51.90633 0.5002793 13.29129
98.8177 95.96392 2.2199490 2.1350171 1.9547637 1.8668918 91.63044 91.04315 89.58554 88.86842 89.79098 83.23210 85.79739 84.22203 92.02437 93.97827 94.07593 94.38020 92.11384 92.29338 92.84764 95.44126 92.34275 92.58152 93.82601 94.98727 80.84776 0.8368856 0.5000618 0.5004813 72.01683 0.5008717 0.7534222 9.931271 79.30586 40.60868 0.5141573 0.5046376 0.5000580 0.5001735 0.5001231 0.5025872 0.5000000 41.84490 6.188545 1.1942127 0.5012187 0.5228560 0.5000060 79.85375 0.6641929 84.87364 79.35785 0.5047089 4.247449 1.668781 0.5573772 2.094756 23.45347 0.5934607 89.92132 0.5209576 82.55251 62.64402 0.5003103 16.57571
108.7968 97.30700 2.1152351 1.7833702 1.6417225 1.5648694 91.56659 92.22843 92.42113 91.42629 92.08267 86.51098 92.09088 92.23267 95.86423 95.37273 96.14841 96.40402 96.97423 95.99875 96.04292 96.11915 95.07594 96.03158 96.27359 95.92470 82.12836 0.8362358 0.5000601 0.5004917 88.20106 0.5008914 0.7661464 10.528459 89.25688 43.02105 0.5139262 0.5047584 0.5000592 0.5001819 0.5001232 0.5025586 0.5000000 43.35058 6.406356 1.2117457 0.5012647 0.5235562 0.5000086 88.60175 0.6664539 93.51173 76.18250 0.5048755 4.286910 1.679993 0.5589238 2.089662 23.63536 0.6010721 94.36552 0.5225214 85.91236 63.97351 0.5003117 16.60996
120.7267 113.84728 2.2199490 2.2165674 1.9725266 1.9048022 107.53406 108.14194 109.60434 110.94409 110.41125 113.33109 109.85351 108.92286 105.05219 106.32116 108.55321 108.42579 103.71282 106.87644 108.16390 108.07045 104.51177 106.07537 107.97538 108.92900 89.92968 0.8562797 0.5000596 0.5005327 105.95776 0.5009617 0.7834548 10.958085 103.61195 46.26160 0.5141877 0.5050581 0.5000596 0.5001893 0.5001250 0.5026790 0.5000000 46.20358 6.588160 1.2627382 0.5012611 0.5253538 0.5000164 97.43655 0.6801713 105.11227 90.01750 0.5050921 4.813712 1.784058 0.5621055 2.180486 25.33487 0.5934607 87.03477 0.5264744 101.25568 70.74062 0.5003520 17.60358
133.9468 112.42434 2.3246706 2.1438804 1.9211467 1.8190569 109.30406 110.18409 108.51226 110.88347 110.07878 107.72299 95.08672 102.09600 109.46568 110.12884 108.25481 107.47255 109.01010 109.63701 106.65837 108.83063 109.16237 109.25255 108.22021 107.88536 92.39281 0.8623313 0.5000607 0.5005505 116.02319 0.5010088 0.7922755 11.291786 116.76218 47.75754 0.5143381 0.5051482 0.5000596 0.5001969 0.5001276 0.5027701 0.5000000 45.52488 6.853232 1.2887455 0.5013069 0.5262136 0.5000254 116.41020 0.6827903 112.69930 109.82844 0.5054403 4.936407 1.806126 0.5643421 2.241455 25.39330 0.5978329 123.18816 0.5271172 107.65883 66.46506 0.5003577 18.05290
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128.7599 230.12906 2.6906223 2.4021992 2.1619185 2.1165587 243.79896 247.04178 246.97173 243.29555 243.08214 236.64652 233.50265 233.45166 259.77441 247.31267 246.11848 237.91011 258.49957 252.40773 247.44485 239.06401 258.90313 250.51285 245.14042 241.37645 251.43591 1.2789680 0.5001037 0.5008672 225.98430 0.5016809 1.0161622 22.409943 233.54488 97.70058 0.5204974 0.5104377 0.5000749 0.5004228 0.5001923 0.5049275 0.5000001 108.69173 14.686400 2.1494503 0.5031691 0.5542143 0.5000596 235.14453 0.8712302 231.99467 211.46298 0.5110236 7.862351 3.270393 0.6475328 4.576747 59.23628 0.6828694 309.81738 0.5644354 215.73531 169.87169 0.5007180 41.93105
151.1338 271.44959 2.6732587 2.3242356 2.1029667 2.0967312 245.63039 242.04548 244.34581 246.79837 247.16372 246.43262 245.67818 239.28993 247.65516 246.16479 247.43023 240.25239 246.33538 245.31844 245.78818 241.22216 246.12785 246.61234 245.44984 242.63614 235.26573 1.2664107 0.5001125 0.5008622 246.50633 0.5016839 1.0274081 23.131956 253.02689 99.55321 0.5205550 0.5106124 0.5000792 0.5004281 0.5001929 0.5048904 0.5000000 107.51737 14.672226 2.1298761 0.5031412 0.5538792 0.5000596 254.15140 0.8660375 246.17178 225.37109 0.5111845 7.889488 3.255120 0.6451397 4.543685 57.86105 0.6681811 264.56604 0.5635794 227.02724 155.84723 0.5007176 41.66393
191.6498 271.45754 2.6808346 2.4572859 2.2328514 2.1930382 269.03260 270.35369 269.89932 263.13312 262.28814 272.42143 272.94801 263.36224 275.55478 278.07565 268.84291 260.92172 271.98946 277.23781 270.29773 257.26394 274.33686 277.05871 269.96641 258.39777 254.75935 1.2600200 0.5001152 0.5008796 258.99896 0.5017806 1.0520842 23.646688 267.92578 103.20282 0.5203321 0.5108492 0.5000810 0.5004300 0.5001904 0.5048497 0.5000000 111.32900 14.789063 2.1699395 0.5031394 0.5547661 0.5000596 271.69614 0.8638780 261.48245 231.71349 0.5112493 7.843972 3.289486 0.6457381 4.467535 59.16853 0.6741235 270.57480 0.5614772 238.70978 179.09337 0.5007125 41.01128
249.9140 293.33201 2.6906223 2.4021992 2.1874096 2.1368548 282.89468 282.49631 282.36173 280.60748 278.54856 281.29872 281.85838 277.76557 240.25332 255.83171 262.10508 253.93554 241.60344 257.60756 261.31053 255.67100 239.40528 256.01223 261.74062 256.14211 252.25737 1.2789680 0.5001163 0.5008875 258.32922 0.5017672 1.0484796 23.702970 270.11649 103.11242 0.5204974 0.5109103 0.5000752 0.5004364 0.5001925 0.5049422 0.5000001 111.38483 14.942356 2.1806953 0.5031862 0.5551711 0.5000596 269.91080 0.8720360 259.25342 221.08057 0.5110803 7.927545 3.307133 0.6485484 4.581112 59.96839 0.6828694 217.51634 0.5644354 238.09975 169.65894 0.5007212 42.03326
290.1520 358.94717 2.4398650 2.2690776 1.9639994 1.9098786 355.77606 356.09023 357.16866 364.03570 363.55305 362.55864 366.54553 383.72941 300.18636 301.06553 292.01826 277.24063 303.54964 301.01754 292.08554 278.92246 301.46600 299.66437 290.00772 278.82093 258.65585 1.2627776 0.5001192 0.5008855 284.80627 0.5018048 1.0661267 24.926558 281.34259 104.77493 0.5206490 0.5111002 0.5000825 0.5004414 0.5001957 0.5048909 0.5000001 113.06692 15.029691 2.1803005 0.5032132 0.5551928 0.5000596 290.60126 0.8655239 267.27335 259.44748 0.5112410 7.881622 3.288503 0.6467399 4.518546 59.50537 0.6651320 332.16046 0.5626772 245.87003 177.09738 0.5007115 41.52214
294.3005 368.66092 2.4699583 2.3128888 2.0102313 1.9788394 331.72502 332.66295 336.36461 348.29687 354.80394 342.35704 342.78334 362.70654 290.01713 292.23353 287.30215 276.19588 292.36994 295.62247 286.55161 274.67186 289.88905 294.00985 287.88372 274.53680 243.18298 1.2559501 0.5001182 0.5008717 285.46005 0.5017478 1.0487150 23.955912 274.88721 101.90598 0.5201470 0.5108011 0.5000693 0.5004206 0.5001879 0.5048072 0.5000000 108.35112 14.449876 2.1049387 0.5031055 0.5531350 0.5000596 281.34381 0.8625540 258.41483 244.02071 0.5110029 7.766151 3.172489 0.6401523 4.398546 56.82182 0.6717709 304.85922 0.5604540 240.69389 161.89073 0.5007025 40.21754
229.7543 309.66638 2.6906223 2.4021992 2.2130562 2.1572942 315.55059 317.12879 317.12234 311.88937 308.17900 311.53886 310.10106 308.12065 311.25340 297.27058 282.33461 267.23727 307.54323 298.27577 284.85073 269.10568 306.80660 298.41901 283.83740 270.41290 261.20758 1.2789680 0.5001199 0.5008927 295.58292 0.5017916 1.0649354 24.988750 282.74280 105.68681 0.5204974 0.5112187 0.5000754 0.5004473 0.5001925 0.5049422 0.5000001 114.93831 15.163724 2.1912940 0.5032541 0.5553820 0.5000596 302.99982 0.8720360 266.70090 261.16107 0.5110902 7.925596 3.302974 0.6484599 4.580028 59.79140 0.6828694 298.91785 0.5644354 247.31528 179.90553 0.5007212 42.03326
340.1085 338.59309 2.3029451 2.1486307 1.9626664 1.9565385 320.24781 318.49685 308.04395 305.03206 305.12500 289.23062 290.67472 309.20789 276.35246 279.15941 277.26493 265.42804 274.13957 280.13215 277.01788 263.92709 276.06963 280.76521 276.15478 265.79695 248.54356 1.2481022 0.5001187 0.5008782 294.09091 0.5017808 1.0529120 24.408094 277.56174 103.88917 0.5202598 0.5109169 0.5000830 0.5004336 0.5001887 0.5048185 0.5000000 111.04511 14.870548 2.1695406 0.5031602 0.5548723 0.5000596 289.24789 0.8601807 264.17755 253.03241 0.5112453 7.732828 3.270117 0.6448066 4.427200 58.64056 0.6830171 294.96387 0.5600467 243.51460 166.79924 0.5007026 40.56582
85.2249 136.42975 2.6176940 2.3110650 2.0291784 2.0036543 127.58173 127.00696 127.27139 124.64113 123.54208 120.76789 121.50345 119.91626 116.90345 119.79958 125.65210 128.23105 117.31977 121.29618 123.36208 127.10200 119.34262 121.79568 124.11276 127.30316 109.85252 1.0934645 0.5000733 0.5006454 125.20748 0.5011032 0.8243021 13.508328 129.45395 56.43932 0.5177321 0.5062892 0.5000597 0.5002427 0.5001643 0.5039781 0.5000001 53.69171 8.422774 1.4758469 0.5018843 0.5327054 0.5000532 128.97823 0.7827649 129.43620 157.92767 0.5074153 5.619682 2.197636 0.5846996 2.798278 31.20418 0.6543232 111.35921 0.5383916 142.10065 68.62321 0.5005028 23.55040
191.3407 148.22451 2.3029451 2.1520646 1.8421627 1.7376662 155.73605 154.69789 154.08752 151.81931 149.29715 136.77386 145.77351 140.53006 151.20977 151.64154 151.63698 152.84167 151.59557 151.11726 151.70980 151.99817 151.34208 151.95285 151.47212 151.86362 138.68178 1.1267343 0.5000782 0.5007421 152.04590 0.5012769 0.8761803 15.629012 150.14963 65.17082 0.5195250 0.5070827 0.5000597 0.5002741 0.5001812 0.5045074 0.5000000 67.98597 9.585026 1.6080595 0.5020900 0.5361418 0.5000596 149.65735 0.8031667 144.45435 153.91960 0.5078247 6.711594 2.352140 0.5919206 2.944566 37.35478 0.6280979 159.28178 0.5380373 145.20218 102.95718 0.5005428 25.24830
191.2274 157.65105 2.3567197 2.2888782 2.0067046 1.9611635 154.06174 154.35871 154.42132 157.24261 155.84141 151.43255 154.57161 148.50117 149.16744 147.81757 144.69852 146.30137 150.52079 146.98296 145.26846 145.12658 149.32452 146.14944 146.13266 145.78231 123.87408 1.0847778 0.5000650 0.5007120 137.22227 0.5011941 0.8423682 13.872584 138.89180 60.68385 0.5180404 0.5061644 0.5000602 0.5002514 0.5001710 0.5042954 0.5000000 61.74633 8.689880 1.5316753 0.5017776 0.5336673 0.5000581 131.25890 0.7939126 138.36258 183.36653 0.5072716 6.480147 2.235920 0.5815929 2.584854 34.03851 0.6174131 132.40425 0.5284258 149.80966 96.04270 0.5005158 21.35412
207.4638 153.18087 -0.0721428 0.0626128 0.0805508 0.0892587 143.37525 143.99390 144.33737 140.34185 137.23958 142.24470 144.70985 151.65165 141.18541 143.74424 145.13640 148.12921 141.15157 142.65036 145.56437 148.40371 141.37669 142.26478 145.11496 147.13290 120.77406 1.0402830 0.5000725 0.5006909 135.25172 0.5012864 0.8848476 15.141504 145.51454 65.54444 0.5174608 0.5071504 0.5000596 0.5002741 0.5001562 0.5037431 0.5000001 62.27876 9.344628 1.5682738 0.5020137 0.5356048 0.5000587 139.91045 0.7606895 151.97820 164.98134 0.5076315 5.879150 2.269434 0.5903725 2.934338 35.58400 0.6033776 129.13057 0.5378135 155.24989 91.35435 0.5004869 24.97464
139.9470 152.95176 2.2796299 2.0188145 1.8123007 1.6900715 164.98176 166.66231 165.11118 167.35217 168.32002 161.04413 159.36510 148.67382 144.42413 148.45741 151.70011 156.66990 143.56256 147.80815 151.12968 155.27306 145.43377 149.07461 153.24376 156.17731 129.84454 1.0964497 0.5000895 0.5007536 159.44901 0.5013512 0.9026616 16.393007 164.37021 68.72047 0.5202071 0.5074773 0.5000597 0.5002890 0.5001838 0.5043622 0.5000000 66.75787 9.886931 1.6290601 0.5020448 0.5376341 0.5000592 158.04053 0.7876918 166.25446 171.58817 0.5079457 6.648271 2.379728 0.5945454 3.089249 37.48831 0.6048431 117.92487 0.5391425 166.50072 96.62201 0.5005344 26.95335
133.6106 193.80421 2.4699583 2.2633117 1.9666694 1.9016238 182.12009 182.23198 182.34390 178.31078 176.49111 185.12783 186.14258 175.73086 179.74736 183.31976 184.12007 184.75077 182.57454 186.71675 186.56416 188.51261 184.85215 185.04970 185.18559 186.67761 176.66905 1.2474897 0.5001096 0.5008146 211.06262 0.5014554 0.9272870 18.539242 200.84007 79.00829 0.5201353 0.5082933 0.5000607 0.5003377 0.5001877 0.5047774 0.5000000 83.76096 11.764947 1.8265936 0.5022750 0.5446004 0.5000596 199.71494 0.8553532 203.27931 211.99037 0.5098206 7.374299 2.767712 0.6138735 3.556222 46.63179 0.6717709 185.46523 0.5505871 211.04102 123.92665 0.5006732 31.66111
110.9376 167.54350 2.6732587 2.3242356 2.1029667 2.0734498 165.36900 164.86775 165.91339 164.40103 165.86384 164.35561 172.56153 161.68342 160.40192 157.01609 158.89041 154.38413 160.88497 157.27430 156.87672 155.29299 159.80894 158.22646 155.68059 155.34133 143.78246 1.1967584 0.5000829 0.5007271 152.93010 0.5013261 0.8850843 15.570133 162.85370 66.61766 0.5182490 0.5072281 0.5000629 0.5002784 0.5001690 0.5042363 0.5000000 69.20434 9.809413 1.6496924 0.5021383 0.5381266 0.5000593 158.27827 0.8245737 166.91554 170.47983 0.5092309 6.583178 2.469003 0.5969294 3.091517 38.68934 0.6660632 163.10780 0.5395058 176.49672 106.65703 0.5006148 27.07352
135.7064 186.17072 2.4055645 2.2116840 1.9217221 1.8581498 194.83346 198.20659 195.19072 190.66088 189.28897 182.52952 183.61128 179.61541 162.35886 165.13164 171.24285 176.03218 160.46238 164.82036 170.25597 176.52442 162.00002 166.37566 171.25059 173.11994 148.78474 1.2656204 0.5000961 0.5008230 172.05453 0.5014147 0.9050277 17.059021 178.11580 73.97382 0.5204164 0.5077592 0.5000659 0.5003120 0.5001912 0.5048591 0.5000000 74.22258 10.813026 1.7982591 0.5022409 0.5430647 0.5000593 173.88722 0.8632600 194.73352 190.31116 0.5101966 7.472347 2.734981 0.6049474 3.299551 42.60622 0.6660632 128.17133 0.5395131 206.35477 110.79413 0.5006981 29.09030
223.3660 212.04242 2.6732587 2.3242356 2.1603804 2.1267304 200.66815 200.25012 200.98289 200.17503 198.38470 198.88072 200.77678 199.95186 191.94842 187.92419 177.22787 176.05749 192.32338 185.95997 178.90163 173.50814 194.24599 187.46055 179.13767 175.47341 156.74139 1.1955395 0.5000876 0.5006895 161.32025 0.5013912 0.9037540 18.405960 181.28981 78.14074 0.5177475 0.5081357 0.5000771 0.5003444 0.5001644 0.5041279 0.5000000 81.72507 11.845813 1.8369687 0.5025873 0.5460539 0.5000590 177.95737 0.8235362 190.58742 153.02338 0.5102749 6.491362 2.800350 0.6188879 3.595380 43.88212 0.6681811 190.47873 0.5396981 174.15549 113.90063 0.5006321 30.94712
149.7268 169.16275 2.4199409 2.2634209 1.9914510 1.9776448 181.03054 180.69061 179.87292 184.26199 181.56858 186.71757 183.56187 182.07501 183.84697 180.28903 177.55918 177.72869 183.96939 179.95410 177.84606 176.85302 184.00484 180.60448 178.51124 178.26117 154.45959 1.2752858 0.5000955 0.5008110 192.43980 0.5014264 0.9086882 17.080833 190.25568 72.23697 0.5202658 0.5078095 0.5000620 0.5003040 0.5001889 0.5048862 0.5000001 75.18421 10.554161 1.7465367 0.5022337 0.5418282 0.5000596 189.81702 0.8657351 186.84013 198.49776 0.5099018 7.258793 2.647461 0.6017172 3.239256 41.61033 0.6611517 179.06357 0.5449247 196.18631 115.34562 0.5006840 28.52999


Here, gmax_st is just a table where the 1st column shows the actual Gmax measurements while the other columns show the predictions of each candidate members. Note that due to tuning, some models are composed of several sub-models, with the aim of finding the optimal parameters that control the model. These sub-models are what we refer to as candidate member. Hence, what we have here is a stack with 5 model definitions and 65 candidate members. E.g. the XGBoost model has 40 candidate members (and that’s why it gives 40 predictions of the Gmax value, corresponding to 40 columns in the stack), the RF model has 12 candidate members and so on.

Now we evaluate how to combine (blend) and fit these predictions. Not all sub-models are necessarily included in the final ensemble.

gmax_model_st <-
  gmax_st %>%
  blend_predictions() %>%
  fit_members()

4.6 Predicting test data

Let’s predict the test data (data_test) to see how the model performs.

data_test_new <- 
  data_test %>%
  bind_cols(predict(gmax_model_st, .)) %>%
  relocate(.pred)

# table
func_tbl(data_test_new)
.pred Gmax Depth SCPT_RES SCPT_FRES SCPT_BQ UW SV0P Qtn Ic
97.13644 99.3361 9.5 11.7670 91.9392 -0.0007 19.9693 96.1131 118.3072 1.7898
154.87424 190.7619 14.5 23.0603 190.2916 -0.0010 20.7552 158.2706 173.2083 1.6791
157.89233 152.4686 15.5 23.6262 187.0072 -0.0009 20.7603 169.3032 169.8332 1.6753
92.36986 99.0368 8.5 2.2917 53.8690 0.1201 17.8337 67.8739 31.5919 2.5320
115.96677 215.5209 15.5 11.6758 117.4964 0.0002 20.0356 158.0865 82.6845 1.9820
143.16383 216.4633 16.5 2.7658 121.4754 0.0748 17.8108 131.5795 19.2692 2.8757
60.89206 72.5458 4.5 4.2402 51.9290 0.0014 18.7797 39.9806 73.1468 2.0792
65.65050 70.8966 5.5 4.3490 53.5973 0.0016 18.8219 49.2056 67.2042 2.1077
198.58907 100.6942 18.5 27.5108 281.1793 0.0001 21.0821 207.8623 168.3445 1.7526
210.64979 135.1266 19.5 27.7355 312.6562 -0.0001 21.1466 220.3678 160.3591 1.7988
190.51692 206.3337 24.0 22.3640 218.3195 -0.0011 20.8061 263.4683 107.8369 1.8843
180.79167 193.6036 27.0 20.6120 178.2000 0.0001 20.6508 292.2645 89.2074 1.9161
201.30658 253.3832 31.5 23.5958 185.7389 -0.0003 20.7555 344.3313 87.8583 1.9000
242.43066 226.5625 33.0 27.5696 222.4335 -0.0005 20.9503 367.1898 97.6686 1.8656
274.30723 276.8295 40.4 28.2133 195.2344 -0.0133 20.8841 446.7253 79.2343 1.9055
171.36278 249.1697 24.0 21.0291 170.2413 -0.0015 20.6282 259.1809 103.9591 1.8503
196.13214 249.2252 27.8 32.9992 192.3451 -0.0001 20.7545 295.0551 100.5214 1.8613
44.89255 31.8807 1.5 6.0052 34.5920 0.0002 19.1658 13.6869 117.7599 1.7137
76.78597 62.3486 4.5 11.6786 77.3862 0.0002 19.9152 45.0764 163.7162 1.6338
83.52152 99.5202 9.5 7.2654 55.4007 0.0003 19.4214 90.8421 75.3153 1.9431
105.62832 120.7423 12.5 10.9289 80.8408 0.0000 19.8748 125.3113 92.7264 1.8608
175.46271 190.9054 34.5 9.8727 95.0104 0.0006 19.8272 345.2079 29.5444 2.3488
227.88575 150.9881 40.5 14.2215 134.1737 -0.0108 20.2405 422.0344 34.9885 2.2843
210.22464 298.9040 45.0 9.9432 104.3696 -0.0250 19.7101 445.1704 21.0471 2.5596
297.63473 313.4562 51.0 35.3354 246.5328 -0.0100 21.1380 577.2796 71.0525 1.9441
90.47645 97.5032 1.5 19.9771 122.9661 -0.0002 20.4630 15.5709 324.5858 1.3933
131.36885 110.5100 2.5 26.2990 179.9102 -0.0004 20.8067 27.0467 388.9560 1.3754
76.05562 100.4590 3.5 13.0956 89.2421 0.0000 20.0450 35.4301 195.2556 1.5802
114.09430 111.7380 4.5 17.3624 148.7193 0.0001 20.4431 47.4222 237.5801 1.5907
129.58135 116.4142 5.5 19.6478 185.6014 0.0000 20.6285 59.0820 247.8343 1.6099
132.43023 118.7287 6.5 19.5172 189.3094 0.0000 20.6366 69.9438 229.9917 1.6401
135.84616 137.3313 8.5 18.4580 196.6550 0.0000 20.6136 91.4004 191.5580 1.7251
137.37740 160.8317 10.5 17.9243 198.3381 -0.0011 20.5960 112.8291 164.5273 1.7833
110.68915 135.0202 16.5 10.2579 84.3002 0.0000 19.8260 164.6552 70.0528 1.9895
114.79612 110.6689 17.5 6.1023 69.2341 0.0007 19.2652 164.8943 38.8115 2.2834
115.50124 138.3385 18.5 6.8420 66.8773 0.0005 19.3873 176.6168 41.5519 2.2231
122.39740 100.6789 19.5 8.2477 76.8750 0.0004 19.6047 190.4143 47.8257 2.1587
130.40715 191.1984 22.5 9.0749 81.2397 0.0003 19.7080 222.3177 45.7201 2.1669
146.49808 101.1214 25.5 8.3552 94.5640 0.0004 19.6611 250.8076 35.6825 2.3136
158.10333 169.0314 28.5 12.7826 114.2394 0.0002 20.1048 292.9774 50.3918 2.1315
70.16087 99.7299 1.5 16.0517 79.6577 -0.0001 20.1670 15.1375 251.3396 1.4061
99.80197 121.0839 2.5 18.9004 108.0141 0.0000 20.3829 26.0151 281.2156 1.4139
86.41024 81.7722 3.5 14.8260 101.8380 0.0001 20.1788 35.8616 218.0984 1.5522
60.34336 85.5211 4.5 6.7962 52.5124 -0.0021 19.3295 42.4841 103.6065 1.8356
90.18626 89.3727 6.5 9.7785 105.2619 -0.0015 19.8172 64.6178 123.4419 1.8688
83.66448 74.4530 7.5 6.7402 71.1353 -0.0016 19.3566 71.2493 81.3806 1.9998
77.13537 83.2384 8.5 4.5817 46.8512 0.0018 18.9008 76.9177 53.2968 2.1407
106.86974 94.8113 15.5 8.3816 93.8025 -0.0056 19.6516 152.0471 59.2076 2.1284
198.55086 239.3520 27.0 25.3029 197.4485 -0.0044 20.8086 296.4194 113.8148 1.8168
180.82016 190.9878 28.5 22.9223 172.3248 -0.0002 20.6990 309.7989 96.1809 1.8540
211.20462 223.4874 30.0 27.4699 217.4909 -0.0036 20.9294 333.0151 109.1655 1.8255
229.95589 239.4079 31.4 34.9556 246.4174 -0.0029 21.1382 355.1437 136.9591 1.7128
225.63811 289.4090 34.5 30.4552 157.1533 -0.0031 20.8356 379.8396 111.3204 1.7073
78.86869 166.8324 9.5 5.2483 45.4285 -0.0017 19.0456 87.3480 55.7358 2.0897
140.99487 122.0257 13.5 19.4178 177.0561 -0.0081 20.5985 145.2184 151.9649 1.7511
161.11404 152.4686 15.5 23.3454 195.5410 -0.0032 20.7758 169.5327 166.8644 1.6957
158.50740 168.7393 18.5 20.9155 149.9166 -0.0037 20.5798 198.6021 132.3030 1.7313
168.01044 168.8584 21.0 21.5641 149.0422 -0.0002 20.6025 226.2218 123.0979 1.7457
62.04993 133.9553 1.5 13.1198 41.7679 0.0001 19.8058 14.6335 188.6343 1.4221
123.68147 109.3549 6.5 31.3034 179.2835 -0.0002 20.8913 71.4640 350.8825 1.3546
90.56465 99.4358 10.5 4.2186 41.3320 0.0006 18.8040 93.9746 42.4686 2.2148
118.74661 109.9358 13.5 17.6814 119.7936 -0.0005 20.3715 142.0660 141.6232 1.6920
185.36809 168.7476 22.8 28.9794 198.9315 -0.0029 20.9069 232.4784 163.8923 1.6501
140.71060 79.1713 4.5 23.2310 198.4356 -0.0002 20.7781 48.9230 308.0356 1.5147
145.12113 100.4986 14.5 8.2939 180.2037 0.0571 19.7645 143.8667 61.4080 2.3007
135.22975 150.0235 15.5 8.7332 135.5839 0.0387 19.6945 152.7484 62.0946 2.1988
69.19656 69.5948 1.5 14.3567 72.7095 0.0000 20.0634 14.9746 230.9091 1.4421
134.78352 132.5272 15.5 14.9208 146.4912 0.0000 20.3221 162.5126 105.5742 1.8918
138.40137 165.2363 17.5 10.8272 139.2354 0.0001 20.0182 178.0375 67.8035 2.1175
152.51042 167.2389 19.5 15.9083 136.9290 0.0000 20.3463 204.8348 93.9760 1.8968
73.72695 51.3907 1.5 9.5955 86.0083 -0.0005 19.7643 14.5423 192.9567 1.6656
91.55322 97.3506 6.5 9.7842 109.5301 0.0001 19.8329 64.7282 123.7511 1.8793
101.61259 133.4358 9.5 13.3942 112.8555 0.0001 20.1360 97.6850 133.6282 1.7703
107.12534 167.5578 11.5 12.0601 101.9445 0.0002 20.0185 116.9868 107.4134 1.8444
114.63816 134.3200 12.5 16.1706 126.0588 -0.0039 20.3187 130.9395 135.3414 1.7486
171.97752 190.1608 15.5 26.7504 176.2470 -0.0006 20.8026 169.9601 195.7016 1.5818
46.78589 54.4267 1.5 4.4186 34.7340 0.0011 18.8604 13.2148 101.1957 1.8426
52.73036 50.9208 3.5 4.0874 26.3256 -0.0018 18.7672 31.0192 73.1750 1.9146
61.91785 88.2802 5.5 6.1700 44.7634 0.0005 19.2367 51.4753 87.2488 1.8743
120.70122 149.1197 15.5 15.9421 131.8713 0.0004 20.3328 162.6804 114.2933 1.8176
170.58615 136.8133 16.5 24.3007 196.6044 -0.0024 20.7925 180.5414 167.0214 1.6864
144.63207 102.9176 20.5 18.6340 136.0338 -0.0001 20.4572 217.6180 107.6894 1.8069
157.98410 112.0150 23.5 9.3498 141.2041 -0.0300 19.7690 233.6466 42.7203 2.3570
93.11769 140.8458 1.5 24.9972 85.2489 0.0000 20.4569 15.5761 334.0758 1.2181
117.00452 120.5773 2.5 44.0798 150.5185 -0.0001 20.9922 27.5166 538.0652 1.0490
135.22445 180.0044 7.5 35.8855 211.4648 -0.0005 21.0481 83.8181 380.4339 1.3388
151.29545 148.1618 8.5 38.5260 243.3863 0.0001 21.1851 96.2350 387.6065 1.3496
155.05460 189.3167 11.5 36.2276 232.8845 -0.0003 21.1242 129.6606 317.3755 1.4136
149.86158 100.0851 12.5 32.3934 212.8010 0.0001 21.0154 139.6274 271.1265 1.4692
164.56428 168.8896 13.5 33.5527 232.5824 0.0003 21.0827 151.7247 267.5379 1.4896
123.35274 97.4497 18.5 9.6055 94.1302 0.0003 19.7931 184.0776 58.4896 2.0983
122.88261 84.6955 19.5 8.2097 79.1182 0.0007 19.6062 190.4343 47.5050 2.1691
129.15335 135.4961 21.0 10.4234 92.1555 0.0004 19.8663 210.7719 56.7032 2.0844
79.32899 68.1141 2.5 12.5047 100.5273 0.0000 20.0439 25.1732 210.3733 1.6078
83.46128 66.9102 4.5 12.7316 102.8478 0.0001 20.0651 45.7309 179.7636 1.6595
127.20856 96.7103 5.5 20.3874 156.6526 0.0000 20.5718 58.7821 253.3064 1.5392
269.79053 253.4551 42.0 27.9606 198.2646 -0.0004 20.8933 465.0678 73.8960 1.9389
72.03479 65.5416 1.5 8.2811 71.3724 0.0001 19.5843 14.2831 169.4955 1.6955
89.14149 97.4172 6.5 10.9049 100.8418 0.0001 19.9235 65.3368 135.3460 1.7914
121.53429 108.8583 8.5 15.4701 143.6236 0.0000 20.3415 89.0973 162.6141 1.7334
160.95552 150.4782 18.5 23.1920 183.5882 -0.0001 20.7426 201.5944 145.7759 1.7236
161.75197 135.3420 22.5 18.7956 164.5128 -0.0001 20.5470 241.1466 97.4643 1.8888
181.69144 142.9758 24.0 23.9588 194.8046 -0.0001 20.7926 263.1533 118.9530 1.7994
191.20334 167.3674 25.5 25.2474 196.4242 -0.0001 20.8304 280.5755 119.1385 1.7875
220.58466 190.9135 27.0 33.6074 247.8510 -0.0001 21.1219 304.9670 153.4504 1.6867
149.65496 165.5615 7.5 23.0771 198.6806 0.0001 20.7759 81.8103 251.3594 1.5762
151.38282 178.6259 9.5 22.1957 197.1412 0.0001 20.7466 103.4596 215.4999 1.6323
187.01510 177.3969 17.5 30.1252 241.7293 -0.0001 21.0449 195.9447 198.4751 1.6275
156.35607 142.9758 24.0 17.0614 165.6107 0.0000 20.4732 255.5076 81.5050 1.9818
209.25702 217.7333 34.5 12.4535 135.0070 -0.0154 20.1262 355.5069 37.4043 2.2824
213.12399 151.2086 35.7 9.3734 135.0070 -0.0330 20.1262 355.5069 37.4043 2.2824
80.67410 69.5798 2.5 15.1198 96.5744 -0.0009 20.1838 25.5249 236.7440 1.5017
106.98213 132.4552 8.5 16.1575 126.1840 0.0002 20.3215 88.9150 169.5873 1.6703
147.38518 170.4894 10.5 22.7961 160.9347 0.0000 20.6692 113.5858 210.9638 1.5693
172.18341 190.4530 16.5 26.3409 185.1835 0.0002 20.8264 181.1168 183.3730 1.6142
168.83764 166.5273 17.5 25.1104 178.0844 0.0002 20.7786 191.2896 167.0800 1.6470
162.38505 164.7259 19.5 21.5460 158.7808 0.0003 20.6270 210.2765 130.4322 1.7413
189.65937 169.1795 28.5 26.0296 175.1036 0.0001 20.7914 312.4117 112.0992 1.7707
226.14901 257.4241 34.5 31.2418 205.5403 0.0001 20.9784 384.7630 110.0200 1.7712
240.54889 191.0810 36.0 29.5437 201.2453 0.0002 20.9390 400.0898 97.5167 1.8224
242.30977 217.6268 37.0 32.8660 201.2453 0.0001 20.9390 400.0898 97.5167 1.8224
76.92181 62.3008 3.5 10.4714 68.1847 -0.0120 19.6818 34.2257 158.7888 1.6692
98.31300 109.6005 4.5 15.3989 107.9496 0.0000 20.2333 46.4959 209.7961 1.5683
131.18269 115.8804 6.5 21.2588 154.0337 0.0000 20.6021 69.7227 246.7307 1.5280
140.89739 146.5395 8.5 23.7908 168.3922 -0.0004 20.7110 92.2406 244.1032 1.5247
173.55767 145.5464 11.5 26.6902 217.2315 -0.0002 20.9135 127.2444 232.2087 1.5830
48.66420 98.1019 1.5 6.2172 39.7702 -0.0154 19.1682 13.7165 123.2486 1.7313
77.85940 78.6481 2.5 10.8026 89.6256 0.0001 19.8835 24.7733 187.0388 1.6550
110.18743 126.0384 5.5 14.8213 147.5476 0.0002 20.3108 57.3319 192.8633 1.7020
144.19099 132.0370 7.5 22.4267 193.6122 -0.0001 20.7433 81.5629 244.7698 1.5850
181.99952 134.6113 14.1 32.3114 291.7828 0.0001 21.1928 160.0582 245.0749 1.5985
196.98039 209.1321 31.5 22.8791 176.9074 0.0035 20.3148 330.5801 90.6951 2.0927
243.85114 328.9600 34.5 36.3594 262.2569 0.0000 21.1963 392.3744 127.5212 1.7434
264.77659 190.7979 43.5 20.7443 259.9446 -0.0346 20.8348 479.1433 44.0915 2.2616
288.73434 444.2261 48.0 28.3294 181.6504 -0.0185 20.8402 529.0035 62.1961 1.9774
77.59667 62.1752 2.5 10.7016 80.8622 0.0001 19.8507 24.6986 182.5032 1.6347
83.33538 84.7941 3.5 13.5626 107.6719 0.0001 20.1328 35.7231 205.5430 1.6113
135.22564 127.3191 7.5 20.5446 170.1632 0.0000 20.6236 80.6731 225.4575 1.5966
169.53653 162.7039 10.5 25.8514 214.4934 -0.0001 20.8858 115.8461 236.8493 1.5835
181.33933 168.9243 11.5 26.8914 253.0497 0.0000 21.0039 128.2874 231.9430 1.6287
154.96879 169.1479 17.5 7.9316 196.1834 0.0140 19.7395 173.1419 47.6349 2.4279
176.85108 179.7985 28.5 11.9861 183.7337 0.0077 20.1838 295.2602 44.2772 2.3214
188.75473 149.8539 16.5 31.8899 235.5616 0.0000 21.0648 185.0297 221.6583 1.5683
94.49656 108.3092 2.5 16.2570 119.0558 -0.0001 20.3061 25.8170 258.6022 1.5161
110.08975 109.4021 3.5 19.1348 141.5338 -0.0002 20.4926 36.9568 275.1803 1.5002
78.56273 78.5600 5.5 10.8544 90.7252 -0.0002 19.8857 55.0193 144.6070 1.7418
106.06129 124.7542 7.5 15.5551 118.1544 -0.0004 20.2722 78.0540 173.8824 1.6535
141.49295 158.7883 9.5 21.8296 147.1347 0.0001 20.5999 102.0792 213.4309 1.5509
126.96352 200.0904 10.5 16.6366 143.9566 0.0000 20.3961 110.7233 154.7726 1.7300
113.21202 287.4120 13.5 13.1512 113.8565 0.0000 20.1093 138.6067 104.5571 1.8693
110.08026 108.0395 5.5 38.2411 127.3516 0.0006 20.8618 60.3407 431.9502 1.1176
169.31580 150.5567 14.5 26.0550 182.0665 -0.0010 20.8001 158.9054 198.3130 1.5917
167.91737 122.2859 25.9 44.0426 196.8266 0.0005 21.1317 292.7824 230.0046 1.4122
238.35216 152.7698 33.8 34.1915 229.3683 0.0000 20.9616 376.5077 128.6638 1.8210
212.32272 135.6212 37.0 53.7849 227.4148 -0.0003 21.2946 424.4600 199.3829 1.4482
211.22369 135.6448 43.0 41.6389 146.8298 0.0000 20.9670 479.3039 127.0149 1.5713
103.69886 78.0652 14.1 9.4054 70.5502 -0.0004 19.7093 139.1874 73.0213 1.9510
187.32727 122.4252 34.0 17.0145 126.0594 -0.0012 20.3660 358.4899 56.4323 2.0416
134.44743 129.4679 14.0 22.4547 131.0515 -0.0028 20.5586 150.0334 176.8935 1.5769
215.13776 249.5059 28.0 38.4213 260.2261 -0.0009 21.2163 318.9208 172.6777 1.6238
202.25438 193.4027 32.0 22.7568 150.7292 -0.0082 20.6362 346.0111 84.7890 1.8677
193.86263 127.4312 36.0 17.5460 124.6260 -0.0007 20.3810 380.1466 54.4667 2.0510
177.13441 136.9083 23.0 27.6284 150.7340 0.0002 20.7592 251.3981 151.2229 1.6109
174.78972 169.2771 25.5 20.8253 144.7903 -0.0132 20.5531 273.5256 98.3568 1.8220
241.96540 188.8459 34.5 37.7622 239.7386 0.0001 21.1629 391.2224 135.8970 1.6877
151.97258 188.4118 17.0 33.7457 175.7688 0.0003 20.9422 188.5822 237.6603 1.4429
197.82173 230.1651 32.0 29.9110 162.3237 -0.0009 20.8394 352.5017 118.0487 1.6976
249.08686 294.3935 41.6 26.1071 185.2056 0.0034 20.7471 454.5447 73.1760 1.9655


We can plot these predictions (.pred in the above table) and see how they compare to the actual measured data (Gmax in the table).

  • Scatter plot:
# data for annotations
data_ann <- 
  tibble(x = c(0, 0, 0, 25, 50, 265, 275),
         y = c(0, 25, 50, 0, 0, 275, 265),
         label = c("Pred. = Meas.", "+25 MPa", "+50 MPa", "-25 MPa", "-50 MPa",
                   "Overprediction", "Underprediction"))

# plot
ggplot(data_test_new) +
  aes(x = Gmax, 
      y = .pred) +
  geom_point(alpha = 0.15, size = 5, color = gray_2) + 
  coord_obs_pred() +
  geom_abline(size = 2, alpha = 1, color = col_r) +
  geom_abline(intercept = c(-25, 25), size = 2, alpha = 0.5, color = col_r) +
  geom_abline(intercept = c(-50, 50), size = 2, alpha = 0.2, color = col_r) +
  geom_richtext(
    data = data_ann,
    aes(x = x, y = y, label = label),
    color = annotation_color,
    family = annotation_family,
    size = unit(3, "pt"),
    fill = annotation_fill,
    label.color = annotation_label.color,
    label.padding = annotation_label.padding,
    label.r = annotation_label.r,
    hjust = 0,
    vjust = 0.5,
    fontface = annotation_fontface,
    angle = 45
  ) +
  labs(x = "Measured Gmax (MPa)", y = "Predicted Gmax (MPa)")
_Plot of measured vs predicted `Gmax` values for the test data._

Plot of measured vs predicted Gmax values for the test data.

  • Histogram:

It looks like our model struggles in accurately predicting the high values of Gmax. This is probably related to the decrease of SCPT measurements in deep layers (which are associated to high Gmax values).

# data for annotations
data_ann_hist <- 
  tibble(x = c(-2 * sd(data_test_new$.pred - data_test_new$Gmax),
               -1 * sd(data_test_new$.pred - data_test_new$Gmax),
               0,
               1 * sd(data_test_new$.pred - data_test_new$Gmax),
               2 * sd(data_test_new$.pred - data_test_new$Gmax)),
         y = 0.0175,
         label = c("-2SD", "-1SD", "Pred. = Meas.", "+1SD", "+2SD"))

data_ann_hist_sec <- 
  tibble(x = c(5, -5),
         y = c(0.015, 0.015),
         label = c("Overprediction", "Underprediction"))

# plot
ggplot(data_test_new, aes(.pred - Gmax)) +
  geom_histogram(binwidth = 7, aes(y =..density..), alpha = 0.15, fill = gray_2) +
  geom_vline(xintercept = 0,
             size = 2, alpha = 1, color = col_r) +
  geom_vline(data = data_test_new, aes(xintercept = sd(data_test_new$.pred - data_test_new$Gmax)),
             size = 2, alpha = 0.5, color = col_r) +
  geom_vline(data = data_test_new, aes(xintercept = -sd(data_test_new$.pred - data_test_new$Gmax)),
             size = 2, alpha = 0.5, color = col_r) +
  geom_vline(data = data_test_new, aes(xintercept = 2 * sd(data_test_new$.pred - data_test_new$Gmax)),
             size = 2, alpha = 0.2, color = col_r) +
  geom_vline(data = data_test_new, aes(xintercept = -2 * sd(data_test_new$.pred - data_test_new$Gmax)),
             size = 2, alpha = 0.2, color = col_r) +
  geom_richtext(
    data = data_ann_hist,
    aes(x = x, y = y, label = label),
    color = annotation_color,
    family = annotation_family,
    size = unit(3, "pt"),
    fill = annotation_fill,
    label.color = annotation_label.color,
    label.padding = annotation_label.padding,
    label.r = annotation_label.r,
    hjust = 0.5,
    vjust = 0.5,
    fontface = annotation_fontface,
    angle = 0
  ) +
  geom_richtext(
    data = data_ann_hist_sec,
    aes(x = x, y = y, label = label),
    color = annotation_color,
    family = annotation_family,
    size = unit(3, "pt"),
    fill = annotation_fill,
    label.color = annotation_label.color,
    label.padding = annotation_label.padding,
    label.r = annotation_label.r,
    hjust = 0.5,
    vjust = 0.5,
    fontface = annotation_fontface,
    angle = 90
  ) +
  labs(x = "'Predicted - Measured' Gmax (MPa)", y = NULL)
_Histogram of residuals for the test data._

Histogram of residuals for the test data.

We can also assess the accuracy of the prediction in numerical terms, for the ensemble and for each candidate member. From the following table we see that the ensembled model outperforms (in terms of rmse and rsq values) all the other models, although some of them offer similar performance. We can also notice that some models are not appropriate for our case (or maybe I didn’t define/tune them properly 😅).

member_preds <- 
  data_test %>%
  select(Gmax) %>%
  bind_cols(predict(gmax_model_st, data_test, members = TRUE))

# rmse
accuracy_ml_rmse <- 
  map_dfr(member_preds, rmse, truth = Gmax, data = member_preds) %>%
  mutate(member = colnames(member_preds))

func_tbl(accuracy_ml_rmse)
.metric .estimator .estimate member
rmse standard 0.00000 Gmax
rmse standard 39.41042 .pred
rmse standard 40.90915 lr_res_1_1
rmse standard 158.90505 knn_res_1_1
rmse standard 39.68450 spl_res_8_1
rmse standard 39.43481 rf_res_1_01
rmse standard 39.35935 rf_res_1_04
rmse standard 39.34349 rf_res_1_05
rmse standard 39.22972 rf_res_1_03
rmse standard 39.54875 rf_res_1_06
rmse standard 41.42512 xgb_res_1_04
rmse standard 146.04258 xgb_res_1_23
rmse standard 99.52146 xgb_res_1_02
rmse standard 160.23736 xgb_res_1_25
# rsq
accuracy_ml_rsq <- 
  map_dfr(member_preds, rsq, truth = Gmax, data = member_preds) %>%
  mutate(member = colnames(member_preds))

func_tbl(accuracy_ml_rsq)
.metric .estimator .estimate member
rsq standard 1.0000000 Gmax
rsq standard 0.6074664 .pred
rsq standard 0.5727071 lr_res_1_1
rsq standard 0.2653586 knn_res_1_1
rsq standard 0.6022583 spl_res_8_1
rsq standard 0.6048370 rf_res_1_01
rsq standard 0.6022944 rf_res_1_04
rsq standard 0.6028779 rf_res_1_05
rsq standard 0.6074700 rf_res_1_03
rsq standard 0.5991995 rf_res_1_06
rsq standard 0.5737835 xgb_res_1_04
rsq standard 0.5625010 xgb_res_1_23
rsq standard 0.5685925 xgb_res_1_02
rsq standard 0.4999372 xgb_res_1_25

4.7 Predicting the rest of the data

Now that our final ensemble model is fully defined, we can predict Gmax values from the rest of the data where CPTU measurements are available (basically, all of our site).

# keep the rest of the data apart
data_corr_rest <- 
  data_corr %>%
  # correcting an unconsistency in depth data
  mutate(SCPT_DPTH = SCPT_DPTH * 100) %>%
  mutate(Depth = case_when(
    SCPT_DPTH %% 2 == 0 ~ round(SCPT_DPTH / 100, 1),
    SCPT_DPTH %% 2 != 0 ~ round((SCPT_DPTH + 1) / 100, 1)
  )) %>%
  mutate(SCPT_DPTH = SCPT_DPTH / 100)

data_seis_rest <- 
  data_seis %>% rename(Depth = SCPT_DPTH)

# create ML models data
data_rest <- 
  data_corr_rest %>% 
  left_join(data_seis_rest, by = c("LOCA_ID", "Depth", "TYPE", "LOCATION")) %>%
  filter(is.na(Gmax)) %>%
  # few corrections
  fill(SCPT_BQ, SCPT_RES, SCPT_FRES, UW, SV0P, Qtn, Ic, .direction = "down") %>%
  fill(SCPT_BQ, SCPT_RES, SCPT_FRES, UW, SV0P, Qtn, Ic, .direction = "up") %>%
  filter(Ic != "NaN", UW != "NaN")

# predict Gmax
data_rest_pred <- 
  data_rest %>%
  bind_cols(predict(gmax_model_st, .))

4.7.1 Visualizing predictions

We need some graphics to see how the predictions look. The following graph shows the predicted Gmax values, separated by the type of the test. From this graphics we can create a general idea and it looks like things are good in the top 30 meters of the ground but they worsen deeper.

Without measurements

data_rest_pred %>%
  ggplot(aes(.pred, SCPT_DPTH)) +
  geom_point(aes(color = TYPE), alpha = 0.025) +
  scale_y_reverse() +
  facet_wrap(~ TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(0, 400), ylim = c(80, 0)) +
  #
  scale_color_manual(values = c(col_r, col_y, col_g, col_b)) +
  theme(legend.position = "none") +
  labs(x = "Predicted Gmax (MPa)")
_Plot of predicted `Gmax` values vs depth._

Plot of predicted Gmax values vs depth.

With measurements

data_rest_pred %>%
  ggplot(aes(.pred, SCPT_DPTH)) +
  geom_point(aes(color = TYPE), alpha = 0.025) +
  scale_y_reverse() +
  facet_wrap(~ TYPE) +
  coord_cartesian(expand = c(0, 0), xlim = c(0, 400), ylim = c(80, 0)) +
  geom_point(data = data_seis, aes(Gmax, SCPT_DPTH), alpha = 0.15, size = 5, color = gray_2) +
  scale_color_manual(values = c(col_r, col_y, col_g, col_b)) +
  theme(legend.position = "none") +
  labs(x = "Predicted Gmax (MPa)")
_Plot of predicted (color dots) and measured (gray dots) `Gmax` values vs depth._

Plot of predicted (color dots) and measured (gray dots) Gmax values vs depth.

4.7.2 Locations’ predictions

A more detailed (and accurate) view can be achieved by plotting the results and predictions of some locations. Note that we have Gmax measurements only in BH and SCPT test types (red and green dots).

# filter data
data_seis_filt <- data_seis %>%
  filter(LOCATION %in% c("HKN06", "HKN10", "HKN25", "HKN27",
                         "HKN56", "HKN58", "HKN72", "HKN75"))

data_rest_pred %>%
  filter(LOCATION %in% c("HKN06", "HKN10", "HKN25", "HKN27",
                         "HKN56", "HKN58", "HKN72", "HKN75")) %>%
  ggplot(aes(.pred, SCPT_DPTH)) +
  geom_point(alpha = 0.15, size = 1, aes(colour = TYPE)) +
  scale_y_reverse() +
  scale_x_continuous(position = "top") +
  facet_wrap(~ LOCATION, ncol = 4) +
  coord_cartesian(expand = c(0, 0), xlim = c(0, 400), ylim = c(80, 0)) +
  geom_point(data = data_seis_filt, aes(Gmax, SCPT_DPTH), 
             alpha = 0.15, size = 5, color = gray_2) +
  scale_color_manual(values = c(col_r, col_y, col_g, col_b)) +
  theme(legend.position = "none") +
  labs(x = "Predicted Gmax (MPa)", y = NULL)
_Plot of predicted (color dots) and measured (gray dots) `Gmax` values vs depth (for each location)._

Plot of predicted (color dots) and measured (gray dots) Gmax values vs depth (for each location).

I am mostly happy with how, in some locations (e.g. HKN25, HKN27) the predictions follow the path/pattern of Gmax measurements. Sometimes, of course, there are considerable discrepancies between predictions and measurements (e.g. HKN72 in the depth between ~32m and ~42m).

There are few ways in which we can improve the accuracy of our predictions, but we can’t really go into much detail here… this post is already too long 😫.


That’s it! Thanks for reading 👋