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- Title
HOMOGENIZATION OF A SINGLE PHASE FLOW THROUGH A POROUS MEDIUM IN A THIN LAYER.
- Authors
AMAZIANE, B.; PANKRATOV, L.; PIATNITSKI, A.
- Abstract
The paper deals with homogenization of stationary and non-stationary high contrast periodic double porosity type problem stated in a porous medium containing a 2D or 3D thin layer. We consider two different types of high contrast medium. The medium of the first type is characterized by the asymptotically vanishing volume fraction of fractures (highly permeable part). The medium of the second type has uniformly positive volume fraction of fracture part. In both cases we construct the homogenized models and prove the convergence results. The techniques used in this work are based on a special version of the two-scale convergence method adapted to thin structures. The resulting homogenized problems are dual-porosity type models that contain terms representing memory effects.
- Subjects
POROSITY; POROUS materials; ASYMPTOTIC homogenization; PARTIAL differential equations; ADSORPTION (Chemistry)
- Publication
Mathematical Models & Methods in Applied Sciences, 2007, Vol 17, Issue 9, p1317
- ISSN
0218-2025
- Publication type
Article
- DOI
10.1142/S0218202507002339