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Modeling fractures as interfaces: a model for Forchheimer fractures
Authors:Najla Frih  Jean E Roberts  Ali Saada
Institution:(1) ENIT-LAMSIN, BP 37, 1002 Tunis-le Belvédère, Tunisia;(2) INRIA-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France
Abstract:In this paper we are concerned with modeling single phase flow in a medium with known fractures. In particular we are interested in the case in which the flow rate in the fractures is large enough to make it appropriate to use Forchheimer’s law for modeling the flow in the fractures even though the flow in the surrounding domain is such that Darcy’s law is adequate. We describe a model in which the fractures are treated as interfaces. We also consider the case of intersecting fractures and the case of nonconforming meshes.
Keywords:Porous media  Fractures  Forchheimer’  s law  Mixed finite elements  Domain decomposition  Nonconforming meshes
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