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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2012 Volume 15, Number 2, Pages 197–204 (Mi sjvm471)

This article is cited in 18 papers

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

J. Jaffré, J. E. Roberts

Inria Paris-Rocquencourt, Le Chesnay, France

Abstract: 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.

Key words: flow in porous media, fractures, multiscale modeling.

MSC: 76S05, 35Q35

Received: 31.10.2011


 English version:
Numerical Analysis and Applications, 2012, 5:2, 162–167

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