Abdelhamid Ainouz
Abstract:
The article addresses the homogenization of a family of micro-models
for the flow of a slightly compressible fluid in a poroelastic matrix
containing periodically distributed poroelastic inclusions, with
low permeabilities and with imperfect contact on the interface.
The micro-models are based on Biot's system for consolidation processes
in each phase, with interfacial barrier formulation. Using the two-scale
convergence technique, it is shown that the derived system is a general
model of that proposed by Aifantis, plus an extra memory term.
Submitted November 29, 2012. Published April 05, 2013.
Math Subject Classifications: 35B27, 74Q05, 76M50.
Key Words: Poroelasticity equations; homogenization; two-scale convergence.
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Abdelhamid Ainouz Laboratoire AMNEDP, Mathematics Department, USTHB BP 32 ElAlia, Bab-Ezzouar, Algiers, Algeria email: aainouz@usthb.dz |
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