Geodesic
Homogenization of a double porosity model in deformable media
Electronic journal of differential equations, Tome 2013 (2013)
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.
Classification : 35B27, 74Q05, 76M50
Keywords: poroelasticity equations, homogenization, two-scale convergence 
@article{EJDE_2013__2013__a130,
     author = {Ainouz,  Abdelhamid},
     title = {Homogenization of a double porosity model in deformable media},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1288.35038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a130/}
}
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%A Ainouz,  Abdelhamid
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%J Electronic journal of differential equations
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%F EJDE_2013__2013__a130
Ainouz,  Abdelhamid. Homogenization of a double porosity model in deformable media. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a130/