We consider an incompressible flow problem in a -dimensional fractured porous domain (Darcy’s problem). The fracture is represented by a ( − 1)-dimensional interface, exchanging fluid with the surrounding media. In this paper we consider the lowest-order (ℝ T, ℙ) Raviart-Thomas mixed finite element method for the approximation of the coupled Darcy’s flows in the porous media and within the fracture, with independent meshes for the respective domains. This is achieved thanks to an enrichment with...
We consider an incompressible flow problem in a -dimensional fractured
porous domain (Darcy’s problem). The fracture is represented by a
( − 1)-dimensional interface, exchanging fluid with the surrounding
media. In this paper we consider the lowest-order (ℝ T, ℙ) Raviart-Thomas mixed finite element
method for the approximation of the coupled Darcy’s flows in the porous media and within
the fracture, with independent meshes for the respective domains....
Subsurface flows are influenced by the presence of faults and large fractures which act as preferential paths or barriers for the flow. In literature models were proposed to handle fractures in a porous medium as objects of codimension 1. In this work we consider the case of a network of intersecting fractures, with the aim of deriving physically consistent and effective interface conditions to impose at the intersection between fractures. This new model accounts for the angle between fractures...
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