Accurate subgrid models for two-phase flow in heterogeneous reservoirs

Yalchin R. Efendiev, Louis J. Durlofsky

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


Subgrid effects can have a strong influence on flow and transport in oil reservoirs. In this work, a new model for the representation of subgrid terms is introduced and applied to two-phase reservoir flows. The model entails a generalized convection-diffusion treatment of the saturation equation as well as an extended representation for total mobility in the pressure equation. Motivation for the form of the model is provided through a consideration of volume averaging and homogenization results. The numerical computation of the subgrid terms and the implementation of the overall method are described. The accuracy of the new subgrid representation is compared to that of coarse-scale models with no subgrid treatment and to coarse models based on pseudorelative permeabilities. The new model consistently provides more accurate overall coarsescale predictions, relative to reference fine-scale results, than the other coarse-scale models, particularly in cases when the global boundary conditions vary in time.

Original languageEnglish (US)
Pages (from-to)219-226
Number of pages8
JournalSPE Journal
Issue number2
StatePublished - Jun 2004
Externally publishedYes

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Geotechnical Engineering and Engineering Geology


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