Mathematical simulation of a pressure field exemplified by dual porosity reservoir

Abstract

The authors analyze the process of fluid transfer in a formation using the example of a porous fractured reservoir rock. A reservoir of this type has a natural-fracture system and is described by a dual porosity model. The most detailed description of a filtration process is provided by Warren-Root equations which analyze fluid redistribution between the matrix and the natural fracturing pattern. In this paper we develop a numerical model of fluid flow processes for a fractured-porous reservoir. The finite difference method is applied to solve partial differential equations. The problem is approximated by an implicit difference scheme. The system of linear algebraic equations at each time layer is solved by the matrix sweep method.