Méthodes en éléments finis multi-échelles stabilisées pour les écoulements miscibles et non-miscibles dans les milieux poreux

Translated title of the contribution: Multiscale-stabilized finite element methods for miscible and immiscible flow in porous media

Ruben Juanes*, Tadeusz Patzek

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In this paper we study the numerical solution of miscible and immiscible flow in porous media, acknowledging that these phenomena entail a multiplicity of scales. The governing equations are conservation laws, which take the form of a linear advection-diffusion equation and the Buckley-Leverett equation, respectively. We are interested in the case of small diffusion, so that the equations are almost hyperbolic. Here we present a stabilized finite element method, which arises from considering a multiscale decomposition of the variable of interest into resolved and unresolved scales. This approach incorporates the effect of the fine (subgrid) scale onto the coarse (grid) scale. The numerical simulations clearly show the potential of the method for solving multiphase compositional flow in porous media. The results for the Buckley-Leverett problem are particularly remarkable.

Translated title of the contributionMultiscale-stabilized finite element methods for miscible and immiscible flow in porous media
Original languageFrench
Pages (from-to)131-140
Number of pages10
JournalJournal of Hydraulic Research
Volume42
Issue numberEXTRA ISSUE
StatePublished - Jan 1 2004

Keywords

  • Conservation laws
  • Finite elements
  • Flow in porous media
  • Multiscale phenomena
  • Stabilized methods

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Water Science and Technology

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