HOMOGENIZATION OF A SINGLE PHASE FLOW THROUGH A POROUS MEDIUM IN A THIN LAYER

DOI10.1142/S0218202507002339zbMath1154.76052MaRDI QIDQ5386668

Andrey L. Piatnitski, Brahim Amaziane, Leonid S. Pankratov

Publication date: 14 May 2008

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

memory effectstwo-scale convergencedouble porosity

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (12)

Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation ⋮ On the non‐stationary non‐Newtonian flow through a thin porous medium ⋮ Some remarks on simplified double porosity model of immiscible incompressible two-phase flow ⋮ Regularity and large‐time behavior of solutions for fractional semilinear mobile–immobile equations ⋮ Unnamed Item ⋮ Unfolding method for diffusion process in a rarefied binary structure ⋮ Topology optimization with optimality criteria and transmissible loads ⋮ Lipschitz Stability in Inverse Source and Inverse Coefficient Problems for a First- and Half-order Time-fractional Diffusion Equation ⋮ Nonlinear flow through double porosity media in variable exponent Sobolev spaces ⋮ A fully homogenized model for incompressible two-phase flow in double porosity media ⋮ On the homogenization of some double-porosity models with periodic thin structures ⋮ Upscaling of a double porosity problem with jumps in thin porous media

Cites Work

• Characterization of the flow for a single fluid in an excavation damaged zone
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Homogenization of a degenerate triple porosity model with thin fissures
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Singular Double Porosity Model
• Modelling of an underground waste disposal site by upscaling
• Homogenization of parabolic equations with contrasting coefficients
• A Homogenized Model of an Underground Waste Repository Including a Disturbed Zone

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