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

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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.

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Authors and Affiliations

  1. Inria Paris-Rocquencourt, BP 105, 78153, Le Chesnay Cedex, France

    J. Jaffré & J. E. Roberts

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  1. J. Jaffré
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  2. J. E. Roberts
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Correspondence to J. Jaffré.

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Original Russian Text © J. Jaffré, J.E. Roberts, 2012, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2012, Vol. 15, No. 2, pp. 197–204.

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Jaffré, J., Roberts, J.E. Modeling flow in porous media with fractures; Discrete fracture models with matrix-fracture exchange. Numer. Analys. Appl. 5, 162–167 (2012). https://doi.org/10.1134/S1995423912020103

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  • DOI: https://doi.org/10.1134/S1995423912020103

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