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Homogenization of a dual-permeability problem in two-component media with imperfect contact

Abdelhamid Ainouz — 2015

Applications of Mathematics

In this paper, we study the macroscopic modeling of a steady fluid flow in an ε -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.

Homogenized double porosity models for poro-elastic media with interfacial flow barrier

Abdelhamid Ainouz — 2011

Mathematica Bohemica

In the paper a Barenblatt-Biot consolidation model for flows in periodic porous elastic media is derived by means of the two-scale convergence technique. Starting with the fluid flow of a slightly compressible viscous fluid through a two-component poro-elastic medium separated by a periodic interfacial barrier, described by the Biot model of consolidation with the Deresiewicz-Skalak interface boundary condition and assuming that the period is too small compared with the size of the medium, the limiting...

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