Homogenization of compositional flow in fractured porous media
Todd J. Arbogast, Zhangxin Chen · 1993
. We derive a dual-porosity model of multidimensional, multicomponent, three-phase flow in naturally fractured porous media from the (formal) mathematical theory of homogenization. Special attention is paid to developing a general approach to incorporating gravitational forces and effects of mass transfer between phases. In particular, general equations for the interactions between matrix and fracture systems are obtained under homogenization by a careful scaling of these effects. Key words. homogenization, dual-porosity, fractured porous medium, compositional flow AMS(MOS) subject classifications. 35B27, 76S05, 76T05, 86A05 1. Introduction. A naturally fractured porous medium has throughout its extent a system of interconnected fracture planes dividing the medium into a series of essentially disjoint blocks of porous rock, called the matrix. It has two main length scales of interest: the microscopic scale of the fracture thickness (about 10 \\Gamma4 m) and the macroscopic scale of...