Cluster Capillary Core Model for the Calculation of the Relative Phase Permeability for Oil and Water Filtration

This article describes a physical and mathematical model of the steady-state flow of an oil and water mixture in the pore space of a core, represented as a set of capillary clusters. The developed technique allows us to calculate the functions of the relative phase permeabilities (RPPs) based on the data of the standard laboratory core analysis and experiments on single-phase fluid filtration. As a result of the regression analysis of the laboratory data on terrigenous rocks of oil and gas fields in Western and Eastern Siberia, multiparameter dependences of the parameters of the interfacial interaction function (IIF) on the reservoir properties and parameters of the capillary cluster are obtained. It is established that the results of the RPP calculation using the proposed computational-experimental method are in good agreement with the experimental data.