Geodesic
Homogenized double porosity models for poro-elastic media with interfacial flow barrier
Mathematica Bohemica, Tome 136 (2011) no. 4, pp. 357-365

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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.
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.
DOI : 10.21136/MB.2011.141695
Classification : 35B27, 35Q35, 74Q05, 76M50
Keywords: homogenization; porelasticity; two-scale convergence 
Ainouz, Abdelhamid. Homogenized double porosity models for poro-elastic media with interfacial flow barrier. Mathematica Bohemica, Tome 136 (2011) no. 4, pp. 357-365. doi: 10.21136/MB.2011.141695
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