Preprint 2004-037

A Front-Tracking Method for the Simulation of Three-Phase Flow in Porous Media

Knut-Andreas Lie and Ruben Juanes

Abstract: Under certain physically reasonable assumptions, three-phase flow of immiscible, incompressible fluids can be described by a $2\times2$ nongenuinely nonlinear, hyperbolic system. We combine analytical solutions to the corresponding Riemann problem with an efficient front-tracking method to study Cauchy and initial-boundary value problems. Unlike finite difference methods, the front-tracking method treats all waves as discontinuities by evolving shocks exactly and approximating rarefactions by small entropy-violating discontinuities. This way, the method can track individual waves and give very accurate (or even exact) resolution of discontinuities. We demonstrate the applicability of the method through several numerical examples, including a streamline simulation of a water-alternating-gas (WAG) injection process in a three-dimensional, heterogeneous, shallow-marine formation.

Available as PDF (2.8 Mbytes).
Knut-Andreas Lie, <>
Ruben Juanes, <>
Publishing information:
Submitted by:
<> July 7 2004.

[ 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <>
Last modified: Mon Jul 19 13:56:23 MEST 2004