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Modeling fractures as interfaces: a model for Forchheimer fractures
Najla Frih 1, 2, Jean E. Roberts 2, Ali Saada 1
(2008)

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.
1:  Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur (LAMSIN)
ENIT
2:  ESTIME (INRIA Rocquencourt)
INRIA
Mathematics/Numerical Analysis

Physics/Mechanics/Mechanics of the fluids

Engineering Sciences/Mechanics/Fluids mechanics
Porous media – Fractures – Forchheimer's law – Mixed finite elements – Domain decomposition – Nonconforming meshes.
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