Accurate multiscale finite element methods for two-phase flow simulations

Y. Efendiev*, V. Ginting, T. Hou, R. Ewing

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

200 Scopus citations


In this paper we propose a modified multiscale finite element method for two-phase flow simulations in heterogeneous porous media. The main idea of the method is to use the global fine-scale solution at initial time to determine the boundary conditions of the basis functions. This method provides a significant improvement in two-phase flow simulations in porous media where the long-range effects are important. This is typical for some recent benchmark tests, such as the SPE comparative solution project [M. Christie, M. Blunt, Tenth spe comparative solution project: a comparison of upscaling techniques, SPE Reser. Eval. Eng. 4 (2001) 308-317], where porous media have a channelized structure. The use of global information allows us to capture the long-range effects more accurately compared to the multiscale finite element methods that use only local information to construct the basis functions. We present some analysis of the proposed method to illustrate that the method can indeed capture the long-range effect in channelized media.

Original languageEnglish (US)
Pages (from-to)155-174
Number of pages20
JournalJournal of Computational Physics
Issue number1
StatePublished - Dec 20 2006
Externally publishedYes


  • Finite element
  • Finite volume
  • Global
  • Multiscale
  • Two-phase
  • Upscaling

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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