Displaying similar documents to “Two problems in homogenization of porous media.”

Homogenized double porosity models for poro-elastic media with interfacial flow barrier

Abdelhamid Ainouz (2011)

Mathematica Bohemica

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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,...

Application of homogenization theory related to Stokes flow in porous media

Børre Bang, Dag Lukkassen (1999)

Applications of Mathematics

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We consider applications, illustration and concrete numerical treatments of some homogenization results on Stokes flow in porous media. In particular, we compute the global permeability tensor corresponding to an unidirectional array of circular fibers for several volume-fractions. A 3-dimensional problem is also considered.