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porous media; homogenization; two scale convergence
In this paper, we study the macroscopic modeling of a steady fluid flow in an $\varepsilon $-periodic medium consisting of two interacting systems: fissures and blocks, with permeabilities of different order of magnitude and with the presence of flow barrier formulation at the interfacial contact. The homogenization procedure is performed by means of the two-scale convergence technique and it is shown that the macroscopic model is a one-pressure field model in a one-phase flow homogenized medium.
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