Modeling of Two-Phase Fluid Flow Processes in a Fractured-Porous Type Reservoir Using Parallel Computations

Abstract

The modeling of the mass transfer of a two-phase fluid in a fractured-porous reservoir is considered. The porous reservoir and fractures have their own filtration-capacity properties, which complicates filtration processes. To describe the problem, a four-block mathematical model with splitting by physical processes is used. For the numerical solution of the problem in the one-dimensional case, an original implicit difference scheme on a non-uniform grid is proposed. The problem feature is a large pressure drop, which requires the use of detailed grids and, as a result, leads to high computational costs. One of the ways to solve the problem is to use parallel computing. The paper proposes an algorithm based on the parallel sweep method, which allows one to significantly speed up calculations and is generalized to the multidimensional case within the framework of using additional splitting in spatial coordinates. A series of calculations, confirming the effectiveness of the developed numerical algorithm and its parallel implementation, are carried out.