The generalized correlating function of capillary curves and the relationship of the filtration-capacitive parameters of reservoirs in Western Siberia with the size distribution of pore channels

Abstract

It was shown that the Leverett J-function and the Brooks-Corey correlating function approximate the capillary curves with insufficient accuracy and therefore do not allow us to obtain an analytical expression for the density distribution of pore channels by size. The polynomial approximation proposed makes it possible to sharply increase the reliability and accuracy of the capillary curves approximation. We obtained analytical expressions that allow to get a density distribution function of pore channels by size for known values of filtration-capacitive parameters (porosity, permeability, residual water saturation). It should be noted that the correlation between the distribution of the size of the pore channels and the porometric characteristics of the reservoir can be obtained according to the geophysical methods of well research.