MIMETIC FINITE DIFFERENCE APPROXIMATION OF FLOWS IN FRACTURED POROUS MEDIA

By Paola Francesca Antonietti, Luca Formaggia, Anna Scotti, Marco Verani, Nicola Verzott. 2016

122 citations recorded by the source corpus.

We present a possible framework for the numerical simulation of flow in fractured porous media that couples mimetic finite differences for the porous matrix with a finite volume scheme for the flow in the fractures. The resulting method is theoretically analyzed in the case of a single fracture. Moreover, several numerical experiments show the capability of the method to deal also with complicated networks of fractures. Thanks to the implementation of rather general coupling conditions, it encompasses both “conductive fractures”, i.e. , fractures with high permeability and “sealed fractures”, i.e. , fractures with low permeability which act as a flow barrier.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3d2327a70ea717b6aad5b932a69ac0b1588a437e

Citations in the corpus

• A simple embedded discrete fracture–matrix model for a coupled flow and transport problem in porous media (2018, unknown): “We mention for instance finite element methods [27, 30, 3], finite volume methods [4, 9, 28], discontinuous Galerkin methods [5], mimetic finite difference methods [6, 40] and virtual element methods [21], all of which require a conforming mesh across the fracture interface.”