We consider the mixed formulation for Darcy’s flow in fractured media. We give a well-posedness result that does not rely on the imposition of pressure in part of the boundary of the fracture network, thus including a fully immersed fracture network. We present and analyze a mimetic finite difference formulation for the problem, providing convergence results and numerical tests.

Analysis of a mimetic finite difference approximation of flows in fractured porous media

Formaggia, Luca;Scotti, Anna;
2018

Abstract

We consider the mixed formulation for Darcy’s flow in fractured media. We give a well-posedness result that does not rely on the imposition of pressure in part of the boundary of the fracture network, thus including a fully immersed fracture network. We present and analyze a mimetic finite difference formulation for the problem, providing convergence results and numerical tests.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/1057231
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