| Issue |
ESAIM: M2AN
Volume 52, Number 2, March–April 2018
|
|
|---|---|---|
| Page(s) | 595 - 630 | |
| DOI | https://doi.org/10.1051/m2an/2017028 | |
| Published online | 11 July 2018 | |
Analysis of a mimetic finite difference approximation of flows in fractured porous media
MOX-Dip. di Matematica Politecnico di Milano,
via Bonardi 9,
20133
Milano, Italy
* Corresponding author: e-mail: anna.scotti@polimi.it
Received:
17
November
2016
Accepted:
5
May
2017
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.
Mathematics Subject Classification: 65N12 / 65N99 / 76S05
Key words: Flow in porous media / fracture networks / mimetic finite difference
© EDP Sciences, SMAI 2018
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