Homogenization of one phase flow in a highly heterogeneous porous medium including a thin layer

Abstract

In this work we consider a model problem describing one phase flow through a thin porous layer made of weakly permeable porous blocks separated by thin fissures. The flow is modeled by a linear parabolic equation considered in a bounded 2D domain with high contrast coefficients. The problem involves three small parameters: the first one characterizes the… (More)
DOI: 10.3233/ASY-2010-1005

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@article{Amaziane2010HomogenizationOO, title={Homogenization of one phase flow in a highly heterogeneous porous medium including a thin layer}, author={Brahim Amaziane and Leonid Pankratov and Vladyslav Prytula}, journal={Asymptotic Analysis}, year={2010}, volume={70}, pages={51-86} }