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Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2021

Thermal flows in fractured porous media

Résumé

We consider the thermal flow problem occuring in a fractured porous medium. The incompressible filtration flow in the porous matrix and the viscous flow in the fractures obey the Boussinesq approximation of the Darcy-Forchheimer law and respectively, the Stokes system. They are coupled by the Saffman's variant of the Beavers-Joseph condition. Existence and uniqueness properties are presented. In the ε-periodic framework, the two-scale homogenized system which governs the asymptotic behaviour (when ε → 0) is found.
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Dates et versions

hal-02129941 , version 1 (23-05-2019)

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Isabelle Gruais, Dan Poliševski. Thermal flows in fractured porous media. ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (3), pp.789-805. ⟨10.1051/m2an/2020087⟩. ⟨hal-02129941⟩
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