scholarly journals Décomposition de domaine pour un milieu poreux fracturé : un modèle en 3D avec fractures

2006 ◽  
Vol Volume 5, Special Issue TAM... ◽  
Author(s):  
Laila Amir ◽  
Michel Kern ◽  
Jean E. Roberts ◽  
Vincent MARTIN

International audience In this paper, we are interested in modeling the flow of a single phase fluid in a porous medium with fractures, using domain decomposition methods. In the proposed approach, the fracture is regarded as an active interface, the transmission conditions and the exchanges between the rock and the fracture taking into account the flow in the fracture. The problem to be solved is then a non standard interface problem which takes into account the flow in the fractures.

2006 ◽  
Vol Volume 5, Special Issue TAM... ◽  
Author(s):  
Najla Frih ◽  
Jean E. Roberts ◽  
Ali Saada

International audience We propose a numerical model for the flow of a single phase,incompressible fluid in a porous medium with fractures. In this model, the flow obeys Forchheimer's law in the fracture and Darcy's law in the rock matrix. Nous proposons un modèle numérique d'un écoulement monophasique d'un fluide incompressible dans un milieu poreux fracturé. Les lois d'écoulement sont celle de Forchheimer dans la fracture et de Darcy dans la matrice rocheuse.


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