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A convergence theorem for homogenization of two-phase miscible flow through fractured reservoirs with uniform fracture distributions
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机译:A convergence theorem for homogenization of two-phase miscible flow through fractured reservoirs with uniform fracture distributions
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 Bourgeat1-3
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