Abstract

An average description of the transport of nonuniform fluids in porous media nonuniform with respect to their permeability leads to a system of equations of multiphase flow with tensor absolute and phase permeability functions [1], The solution of problems of flow through porous media when the relative phase permeabilities are tensor functions involves considerable difficulties and requires special analysis. Below, the system of equations of two-dimensional two-phase flow in a porous medium anisotropic with respect to the absolute and relative permeabilities is investigated. Some simple examples are considered.

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