DISCONTINUOUS AND MIXED FINITE ELEMENTS FOR TWO-PHASE INCOMPRESSIBLE FLOW.

G. Chavent, J. Jaffre, R. Eymard, Dominique Guerillot, L. Weill

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The simulation of multiphase flow presents several difficulties, among which are the following three which we would like to address: i) sharp moving fronts can occur when convection is dominating, ii) a good approximation of velocities is necessary to calculate the convective terms of the equation, iii) the flow presents singularities around wells. Concerning i), we propose a discontinuous piecewise polynomial approximation of the saturation which allows us to design a higher order scheme. Inside each cell, the water conservation equation is multiplied by test functions and integrated by parts. With respect to ii), the pressure equation is approximated by means of a mixed-hybrid formulation which is equivalent to the classical mixed formulation. Finally, concerning iii), we introduce macro-elements around wells.

Original languageEnglish
Title of host publicationSociety of Petroleum Engineers of AIME, (Paper) SPE
PublisherSoc of Petroleum Engineers of AIME, USA SPE 16018
Pages259-270
Number of pages12
Publication statusPublished - 1987
Externally publishedYes

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Water conservation
Polynomial approximation
Incompressible flow
Multiphase flow
Macros
Convection

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Chavent, G., Jaffre, J., Eymard, R., Guerillot, D., & Weill, L. (1987). DISCONTINUOUS AND MIXED FINITE ELEMENTS FOR TWO-PHASE INCOMPRESSIBLE FLOW. In Society of Petroleum Engineers of AIME, (Paper) SPE (pp. 259-270). Soc of Petroleum Engineers of AIME, USA SPE 16018.

DISCONTINUOUS AND MIXED FINITE ELEMENTS FOR TWO-PHASE INCOMPRESSIBLE FLOW. / Chavent, G.; Jaffre, J.; Eymard, R.; Guerillot, Dominique; Weill, L.

Society of Petroleum Engineers of AIME, (Paper) SPE. Soc of Petroleum Engineers of AIME, USA SPE 16018, 1987. p. 259-270.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Chavent, G, Jaffre, J, Eymard, R, Guerillot, D & Weill, L 1987, DISCONTINUOUS AND MIXED FINITE ELEMENTS FOR TWO-PHASE INCOMPRESSIBLE FLOW. in Society of Petroleum Engineers of AIME, (Paper) SPE. Soc of Petroleum Engineers of AIME, USA SPE 16018, pp. 259-270.
Chavent G, Jaffre J, Eymard R, Guerillot D, Weill L. DISCONTINUOUS AND MIXED FINITE ELEMENTS FOR TWO-PHASE INCOMPRESSIBLE FLOW. In Society of Petroleum Engineers of AIME, (Paper) SPE. Soc of Petroleum Engineers of AIME, USA SPE 16018. 1987. p. 259-270
Chavent, G. ; Jaffre, J. ; Eymard, R. ; Guerillot, Dominique ; Weill, L. / DISCONTINUOUS AND MIXED FINITE ELEMENTS FOR TWO-PHASE INCOMPRESSIBLE FLOW. Society of Petroleum Engineers of AIME, (Paper) SPE. Soc of Petroleum Engineers of AIME, USA SPE 16018, 1987. pp. 259-270
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