Чисельне дослідження фільтраційних течій структурним методом R-функцій

Abstract

The problem of the stationary porous media flow theory in an isotropic inhomogeneous media is considered in the assumption that the Darcy law is fulfilled. The mathematical model of this problem is the elliptic equation for the stream function, supplemented by second kind boundary conditions at the reservoir boundaries, and the first kind boundary conditions in regions that are impenetrable to the liquid. The structural-variational method (the R-functions method) is proposed to be used for numerical analysis and that will allow taking into account all the geometric and analytical information from the problem statement most fully.