A unified approach to numerical homogenization of flow parameters in porous media
نویسندگان
چکیده
The aim of upscaling is to determine equivalent homogeneous parameters at a coarse-scale from a spatially oscillating fine-scale parameter distribution. A large variety of upscaling methods is available, among which the homogenization method plays an important role. This paper presents an extension of the classical homogenization method to nonlinear problems as they occur while upscaling parameters of incompressible, immiscible two-phase flow and while dealing with flow in near well regions. In all cases homogenization is based on fine-scale steady-state flow equations with periodic boundary conditions. These equations are solved with the finite element method. Results of numerical experiments are given.
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