Abstract:
This article is concerned with a numerical model for flow in a porous medium containing fractures. The fractures are modeled as (d−1)(d−1)-dimensional surfaces inside the dd-dimensional matrix domain, and a mixed finite element method containing both dd and (d−1)(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.
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
This publication is cited in the following 18 articles:
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