Homogenization of a model for water-gas flow through double-porosity media (Q2786706)
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scientific article; zbMATH DE number 6544707
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homogenization of a model for water-gas flow through double-porosity media |
scientific article; zbMATH DE number 6544707 |
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Homogenization of a model for water-gas flow through double-porosity media (English)
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23 February 2016
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compressible two-phase flow
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Dacry-Muskat problem
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double porous media
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fractured media
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water-hydrogen
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The authors study the homogenisation limit for a system of PDEs describing the motion of two immiscible compressible two-phase flows (like water and gas) through a double porosity medium. The microscopic problem includes two mass conservation equations for the two flows as well as a Darcy-Muskat law relating the velocities, pressure gradients and gravitational effects. The major difficulty is twofold: the nonlinear degenerate structure of the equations and the coupling of the system.
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