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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 2, Pages 197–204
(Mi sjvm471)
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This article is cited in 18 scientific papers (total 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.
Received: 31.10.2011
Citation:
J. Jaffré, J. E. Roberts, “Modeling flow in porous media with fractures; discrete fracture models with matrix-fracture exchange”, Sib. Zh. Vychisl. Mat., 15:2 (2012), 197–204; Num. Anal. Appl., 5:2 (2012), 162–167
Linking options:
https://www.mathnet.ru/eng/sjvm471 https://www.mathnet.ru/eng/sjvm/v15/i2/p197
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Abstract page: | 421 | Full-text PDF : | 104 | References: | 50 | First page: | 10 |
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