Abstract

In this technical note, a geostatistical model was applied to explore the spatial distribution of source rock data in terms of total organic carbon weight concentration. The median polish kriging method was used to approximate the “row and column effect” in the generated array data, in order for the ordinary kriging methodology to be applied by means of the residuals. Moreover, the sequential Gaussian simulation was employed to quantify the uncertainty of the estimates. The modified Box–Cox technique was applied to normalize the residuals and a cross-validation analysis was performed to evaluate the efficiency of the method. A map of the spatial distribution of total organic carbon weight concentration was constructed along with the 5% and 95% confidence intervals. This work encourages the use of the median polish kriging method for similar applications.

Highlights

  • Onshore and coastal petroleum exploration commonly involves rock samples from different locations, geological formations and depths, which are analyzed for their mineral composition and organic properties

  • We present a combined methodology for spatial analysis of the distribution of total organic carbon weight concentration (TOC wt%) from rock samples

  • Median Polish Kriging (MEPK) can be characterized as a hybrid method that applies in a twodimensional surface to estimate spatial data distribution

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Summary

Introduction

Onshore and coastal petroleum exploration commonly involves rock samples from different locations, geological formations and depths, which are analyzed for their mineral composition and organic properties. Geostatistics can be used to spatially analyze these properties and provide their spatial distribution in terms of mathematical principles of interdependence. In petroleum resources evaluation studies, geostatistics in the form of kriging have traditionally been used successfully [1,2,3,4,5]. We present a combined methodology for spatial analysis of the distribution of total organic carbon weight concentration (TOC wt%) from rock samples. The weight percentage of organic carbon in source rocks represents the concentration of organic material. A 0.5% value by weight of TOC is the minimum allowed for an effective source rock sample. A value of 2% is considered the minimum for shale gas reservoirs

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