Determination of Total Organic Carbon Content in Shale Formations With Regression Analysis

By correcting both the positive and negative $ΔlogR$ separation resulting from the resistivity in organic-deficient shales, the traditional $ΔlogR$ correlation is modified, validated, and applied to determine the total organic carbon (TOC) content in shale formations. The TOC content is determined once the Fisher distribution, which represents the significance of each model, and Student's t-distribution, which denotes the significance of every variable in the models, have achieved values equal to or higher than their respective threshold values at a confidence level of 95%. Using a total of 45 sets of logging measurements, the newly proposed correlation is found to be able to reproduce the measured TOC values with a root mean-squared absolute difference (RMSAD) of 0.30 wt % and root mean-squared relative difference (RMSRD) of 23.8%, respectively. Uranium concentration, apart from interval transit time and resistivity, is found to be key in determining the TOC content in organic-rich shale without other radioactive minerals. By combining the reading of DGR (i.e., the difference between the spectral gamma ray with the radioactivity and the computed gamma ray without uranium), the traditional $ΔlogR$ technique has now been improved and extended to the negative $ΔlogR$ separation resulting from the resistivity in organic-deficient shale higher than that in organic-rich shale.