Discontinuous and mixed finite elements for two-phase incompressible flow

Guy Chavent, Gary Cohen, Jerome Jaffre, Robert Eymard, Dominique Guerillot, Luce Weiil

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

The simulation of multiphase flow presents several difficulties, including (1) the occurrence of sharp moving fronts when convection is dominating, (2) the need for a good approximation of velocities to calculate the convective terms of the equation, and (3) flow singularities around wells. To handle the first difficulty, we propose a Godunov-type higher-order scheme based on a piecewise linear approximation of the saturation associated with a multidimensional slope limiter. With respect to the second, the pressure equation is approximated by means of a mixed-hybrid formulation equivalent to the classic mixed formulation but yielding a positive-definite linear system. To solve the third difficulty, we introduce macroelements around wells. Numerical experiments illustrate the capabilities of the method.

Original languageEnglish
Pages (from-to)567-575
Number of pages9
JournalSPE Reservoir Engineering (Society of Petroleum Engineers)
Volume5
Issue number4
Publication statusPublished - Nov 1990
Externally publishedYes

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Incompressible flow
Multiphase flow
Limiters
Linear systems
Experiments
Convection

ASJC Scopus subject areas

  • Process Chemistry and Technology

Cite this

Discontinuous and mixed finite elements for two-phase incompressible flow. / Chavent, Guy; Cohen, Gary; Jaffre, Jerome; Eymard, Robert; Guerillot, Dominique; Weiil, Luce.

In: SPE Reservoir Engineering (Society of Petroleum Engineers), Vol. 5, No. 4, 11.1990, p. 567-575.

Research output: Contribution to journalArticle

Chavent, Guy ; Cohen, Gary ; Jaffre, Jerome ; Eymard, Robert ; Guerillot, Dominique ; Weiil, Luce. / Discontinuous and mixed finite elements for two-phase incompressible flow. In: SPE Reservoir Engineering (Society of Petroleum Engineers). 1990 ; Vol. 5, No. 4. pp. 567-575.
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