Three-phase immiscible displacement in heterogeneous petroleum reservoirs

Authors:
E. Abreu;J. Douglas, Jr.;F. Furtado;D. Marchesin;F. Pereira
Affiliations:
Departamento de Modelagem Computacional, Instituto Politécnico/UERJ, Nova Friburgo, RJ, Brazil;Department of Mathematics, Purdue University, West Lafayette, IN;Department of Mathematics, University of Wyoming, Laramie, WY;Instituto Nacional de Matemdtica Pura e Aplicada, Estrada D. Castorina, RJ, Brazil;Departamento de Modelagem Computacional, Instituto Politécnico/UERJ, Nova Friburgo, RJ, Brazil
Venue:
Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras
Year:
2006

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Abstract

We describe a fractional-step numerical procedure for the simulation of immiscible three-phase flow in heterogeneous porous media that takes into account capillary pressure and apply it to indicate the existence of a so-called "transitional" wave in at least some multi-dimensional flows, thereby extending theoretical results for one-dimensional flows. The step procedure combines a second-order, conservative central difference scheme for a pertinent system of conservation laws modeling the convective transport of the fluid phases with locally conservative mixed finite elements for the associated parabolic and elliptic problems.