Cluster capillary core model for calculation of relative phase permeability for oil and water filtration

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