Computer Technology for Determination of Interphase Interaction Function Based on Flow Simulation in Capillary Cluster

About the authors:

Sergei V. Stepanov, Senior Expert, Tyumen Petroleum Research Center, Tyumen, Russia; Dr. Sci. (Tech.), Professor, Tyumen Petroleum Research Center Specialized Department, School of Natural Sciences, University of Tyumen, Tyumen, Russia; svstepanov@tnnc.rosneft.ru

Aleksandr B. Shabarov, Dr. Sci. (Tech.), Professor, Honored Scientist of the Russian Federation, Professor, Department of Applied and Technical Physics, School of Natural Science, University of Tyumen, Tyumen, Russia; a.b.shabarov@utmn.ru, https://orcid.org/0000-0002-5374-8704
Georgii S. Bembel, Lead Specialist, Tyumen Petroleum Research Center; gsbembel@rosneft.ru

Abstract:

The paper presents the original computer technology for the determination of interphase interaction function used in the calculation of relative permeability of water and oil on the basis of generalized Bernoulli equations. The determination of interphase interaction function is based on the mathematical simulation of slug flow of water and oil in porous media represented as a cluster of axisymmetric capillary capillaries. In this model, the problem solving comes to the numerical solution of Navier-Stokes equations by the fluid volume method using surface force function to account for the capillary pressure in the meniscus. It is shown that the developed technology allows the interphase interaction function to be calculated for different capillary numbers.

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