Dykstra-Parsons Heterogeneity Index

The Dykstra-Parsons Heterogeneity Index is a quantitative measure used to assess the degree of heterogeneity in the permeability of reservoir rocks in oil fields.

First reading the whole data set

data=read.csv("karpur.csv")
head(data)

NA

For simplicity, sorting permeability values in a descending order.

data = data[order(data$k.core, decreasing = TRUE), ]
k = data$k.core
sample = c(1: length(k))
k_percent =(sample * 100) / length(k)

xlab = "Portion of Total Samples Having Larger or Egual k  "
ylab = "permeabiliy (md)"
plot(k_percent, k, log = 'y' , xlab = xlab, ylab, pch = 10, cex =0.5, col ="#001c49")

log_k = log(k)
model = lm(log_k~ k_percent)
plot(k_percent,log_k, xlab = xlab, ylab = ylab,pch = 10, cex = 0.5, col = "#001c49")
abline(model, col ='pink' , lwd = 2)

new_data = data.frame(k_percent = c(50, 84.1))
predicted_values = predict(model, new_data)
heterogenity_index = (predicted_values[1] - predicted_values[2]) / predicted_values[1]
heterogenity_index

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