Homogenization of a dual-permeability problem in two-component media with imperfect contact
Abdelhamid Ainouz · Applications of Mathematics · 2015
In this paper, we study the macroscopic modeling of a steady fluid flow in an ɛ -periodic medium consisting of two interacting systems: fissures and blocks, with perme-abilities 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.