A Mortar BDD method for solving flow in stochastic discrete fracture networks

Géraldine Pichot (1) , Baptiste Poirriez (1) , Jocelyne Erhel (1, 2) , Jean-Raynald de Dreuzy (3)

1 SAGE - Simulations and Algorithms on Grids for Environment
2 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences
3 GR - Géosciences Rennes

In this paper, flow in Discrete Fracture Networks (DFN) is solved using a Mortar Mixed Hybrid Finite Element Method. To solve large linear systems derived from a nonconforming discretization of stochastic fractured networks, a Balancing Domain Decomposition is used. Tests on three stochastically generated DFN are proposed to show the ability of the iterative solver SIDNUR to solve the flow problem.

Mots clés: Discrete Fracture Networks (DFN); Poiseuille's flow; Mortar; Mixed Hybrid Finite Element Method; Balancing Domain Decomposition method

Domaines: Analyse numérique [math.NA]; Calcul parallèle, distribué et partagé [cs.DC]; Géophysique [physics.geo-ph]

Géraldine Pichot, Baptiste Poirriez, Jocelyne Erhel, Jean-Raynald de Dreuzy. A Mortar BDD method for solving flow in stochastic discrete fracture networks. Jocelyne Erhel; Martin Gander; Laurence Halpern; Géraldine Pichot; Taoufik Sassi. Domain Decomposition Methods in Science and Engineering XXI, LNCS-98, Springer International Publishing, pp.99-112, 2014, Lecture Notes in Computational Science and Engineering (LNCSE), ⟨10.1007/978-3-319-05789-7_8⟩. ⟨hal-01093851⟩