Abdelhamid Ainouz, Department of Mathematics, University of Sciences and Technology Houari Boumedienne, BP 32 El Alia, Bab Ezzouar 16111, Algiers, Algeria, e-mail: ainouz@gmail.com, aainouz@usthb.dz
Abstract: 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 behavior of the coupled deformation-pressure is studied.
Keywords: homogenization, porelasticity, two-scale convergence
Classification (MSC 2010): 35B27, 74Q05, 76M50
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