Numerical Analysis and Applications

, Volume 5, Issue 2, pp 162–167 | Cite as

Modeling flow in porous media with fractures; Discrete fracture models with matrix-fracture exchange



This article is concerned with a numerical model for flow in a porous medium containing fractures. The fractures are modeled as (d − 1)-dimensional surfaces inside the d-dimensional matrix domain, and a mixed finite element method containing both d and (d − 1) dimensional elements is used. The method allows for fluid exchange between the fractures and the matrix. The method is defined for single-phase Darcy flow throughout the domain and for Forchheimer flow in the fractures. We also consider the case of two-phase flow in a domain in which the fractures and the matrix are of different rock type.


flow in porous media fractures multiscale modeling 


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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Inria Paris-RocquencourtLe Chesnay CedexFrance

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