We consider the mixed formulation for Darcy’s flow in fractured media. We give a well-posedness result that does not rely on the imposition of pressure in part of the boundary of the fracture network, thus including a fully immersed fracture network. We present and analyze a mimetic finite difference formulation for the problem, providing convergence results and numerical tests.
Mots-clés : Flow in porous media, fracture networks, mimetic finite difference
@article{M2AN_2018__52_2_595_0,
author = {Formaggia, Luca and Scotti, Anna and Sottocasa, Federica},
title = {Analysis of a mimetic finite difference approximation of flows in fractured porous media},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {595--630},
publisher = {EDP-Sciences},
volume = {52},
number = {2},
year = {2018},
doi = {10.1051/m2an/2017028},
mrnumber = {3834437},
zbl = {1404.65228},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/m2an/2017028/}
}
TY - JOUR AU - Formaggia, Luca AU - Scotti, Anna AU - Sottocasa, Federica TI - Analysis of a mimetic finite difference approximation of flows in fractured porous media JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2018 SP - 595 EP - 630 VL - 52 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/m2an/2017028/ DO - 10.1051/m2an/2017028 LA - en ID - M2AN_2018__52_2_595_0 ER -
%0 Journal Article %A Formaggia, Luca %A Scotti, Anna %A Sottocasa, Federica %T Analysis of a mimetic finite difference approximation of flows in fractured porous media %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2018 %P 595-630 %V 52 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/m2an/2017028/ %R 10.1051/m2an/2017028 %G en %F M2AN_2018__52_2_595_0
Formaggia, Luca; Scotti, Anna; Sottocasa, Federica. Analysis of a mimetic finite difference approximation of flows in fractured porous media. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 52 (2018) no. 2, pp. 595-630. doi : 10.1051/m2an/2017028. http://archive.numdam.org/articles/10.1051/m2an/2017028/
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