A convergence theorem for homogenization of two-phase miscible flow through fractured reservoirs with uniform fracture distributions
- 1 January 1989
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 33 (3-4) , 203-214
- https://doi.org/10.1080/00036818908839873
Abstract
The equations of fluid flow in naturally fractured porous media, with a given fracture distribution, can be modeled by using a method of homogenization. In contrast to the original flow equations, homogenized equations will have a new porosity, a new permeability, and a new matrix of dispersion. The purpose of this article is to give a mathematical proof of convergence for the homogenization of general two-phase miscible flow. A formal homogenization, with a convergence proof for some special cases, was given previously by Bourgeat1-3Keywords
This publication has 1 reference indexed in Scilit:
- Homogenized behavior of two-phase flows in naturally fractured reservoirs with uniform fractures distributionComputer Methods in Applied Mechanics and Engineering, 1984