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• W1510467069 abstract "In this work we consider a model problem describing one phase flow through a thin porous layer made of weakly per- meable porous blocks separated by thin fissures. The flow is modeled by a linear parabolic equation considered in a bounded 2D domain with high contrast coefficients. The problem involves three small parameters: the first one characterizes the periodicity of the distribution of the blocks in the layer, the second one stands for the thickness of the layer, the third one characterizes the volume fraction of the fissure part in the layer. Using the notion of two-scale convergence, we derive the homogenized models which govern the global behavior of the flow when the small parameters tend to zero. The global models essentially depend on the relation between the small parameters." @default.
• W1510467069 created "2016-06-24" @default.
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• W1510467069 date "2010-01-01" @default.
• W1510467069 modified "2023-10-13" @default.
• W1510467069 title "Homogenization of one phase flow in a highly heterogeneous porous medium including a thin layer" @default.
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• W1510467069 doi "https://doi.org/10.3233/asy-2010-1005" @default.
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