Geodesic
Modeling flow in porous media with fractures; discrete fracture models with matrix-fracture exchange
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 197-204.

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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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J. Jaffré; J. E. Roberts. Modeling flow in porous media with fractures; discrete fracture models with matrix-fracture exchange. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 197-204. http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a9/

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