Abonnement à la biblothèque: Guest
Facteur d'impact: 1.061 Facteur d'impact sur 5 ans: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

# Journal of Porous Media

DOI: 10.1615/JPorMedia.v15.i2.30
pages 123-136

## MODIFIED TRANSPORT EQUATIONS FOR THE THREE-PHASE FLOW OF IMMISCIBLE, INCOMPRESSIBLE FLUIDS THROUGH WATER-WET POROUS MEDIA

Ramon G. Bentsen
Department of Civil and Environmental Engineering, School of Mining and Petroleum Engineering, University of Alberta, 3-112 Markin CNRL-NREF, Edmonton, Alberta, T6G2W2, Canada
Japan J. Trivedi
Department of Civil and Environmental Engineering, School of Mining and Petroleum Engineering, University of Alberta, 3-112 Markin CNRL-NREF, Edmonton, Alberta, T6G2W2, Canada

### RÉSUMÉ

In this study, generalized transport equations are combined with partition concepts to construct modified transport equations for the immiscible, incompressible, and vertical three-phase flow of fluids. These equations are used to demonstrate that failure to include interfacial coupling in the mathematical description of such flow can introduce significant amounts of model error into the equations used to describe vertical three-phase flow through porous media. It was found that when the magnitudes of the potential gradient and the net buoyant force for the wetting phase were of the same order, failure to account for interfacial coupling introduced a significant amount of model error into the analysis. The model error for the wetting phase was found to be larger than that for the two nonwetting phases. If the potential gradient for the wetting phase was an order of magnitude larger than the net buoyant force, neglect ofinterfacial coupling effects introduced smaller amounts of model error into the analysis. Also, it was found that a failure to take proper account of interfacial coupling in the mathematical description of three-phase countercurrent flow resulted in the introduction of more model error than was the case for cocurrent flow. Finally, it was determined that the modified transport equations describing three-phase countercurrent flow were case dependent.

### Articles with similar content:

Flow and Solute Transport in Saturated Porous Media: 1. The Continuum Hypothesis
Journal of Porous Media, Vol.11, 2008, issue 4
Amgad Salama, Paul J. Van Geel
TWO-FLUID-1D-AVERAGED MODEL EQUATIONS FOR A PIPE UNDERGOING ARBITRARY MOTIONS
Multiphase Science and Technology, Vol.24, 2012, issue 1
Herve Lemonnier, N. Coutris
INVESTIGATION OF APPLICABILITY OF DUAL-POROSITY MODEL FOR POLYMER FLOODING SIMULATION
Journal of Porous Media, Vol.21, 2018, issue 13
Behnam Sedaee Sola, Assila Taymourtash
Heat and Mass Dispersion in Flows through Porous Media
Journal of Porous Media, Vol.7, 2004, issue 2
Jose Teixeira Freire, Affonso Silva Telles
THE USE OF VOLUME AVERAGING THEORY TO ADDRESS HEAT TRANSFER WITHIN ENGINEERED HETEROGENEOUS HIERARCHICAL STRUCTURES
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2012, issue
Ivan Catton