Laila Amir ; Michel Kern ; Jean E. Roberts ; Vincent MARTIN - Décomposition de domaine pour un milieu poreux fracturé : un modèle en 3D avec fractures

arima:1851 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, November 4, 2006, Volume 5, Special Issue TAM TAM'05, november 2006 - https://doi.org/10.46298/arima.1851
Décomposition de domaine pour un milieu poreux fracturé : un modèle en 3D avec fractures

Authors: Laila Amir 1,2; Michel Kern ORCID-iD3,2; Jean E. Roberts 2; Vincent MARTIN

  • 1 Parameter estimation and modeling in heterogeneous media
  • 2 Inria Paris-Rocquencourt
  • 3 Environmental Modeling, Optimization and Programming Models

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.

https://doi.org/10.46298/arima.1851
Source: HAL:hal-01263453v1
Volume: Volume 5, Special Issue TAM TAM'05, november 2006
Published on: November 4, 2006
Submitted on: May 2, 2006
Keywords: fractures, porous medium, domain decomposition, flux, interface, transmission conditions,[MATH] Mathematics [math],[INFO] Computer Science [cs]

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