An Eulerian-Lagrangian Solution Technique for Single-Phase Compositional Flow in Three-Dimensional Porous Media

Authors:
Hong Wang;Weidong Zhao;R. E. Ewing;M. Al-Lawatia;M. S. Espedal;A. S. Telyakovskiy
Affiliations:
Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA;School of Mathematics and System Sciences, Shandong University, Jinan, Shandong, 250100, P.R. China;Institute for Scientific Computation, Texas A&M University, College Station, TX 77843-3404, USA;Department of Mathematics and Statistics, Sultan Qaboos University, PO Box 36, Al-Khodh 123, Sultanate of Oman, Oman;Department of Mathematics and the Center for the Integrated Petroleum Research, University of Bergen, Johs. Brunsgt. 12, N-5007, Bergen, Norway;Department of Mathematics and Statistics, University of Nevada, Reno, NV 89557, USA
Venue:
Computers & Mathematics with Applications
Year:
2006

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Abstract

We develop an Eulerian-Lagrangian iterative solution technique for accurate and efficient numerical simulation of single-phase compositional flow through three-dimensional compressible porous media in the presence of multiple injection and production wells. In the numerical simulator, an Eulerian-Lagrangian method is used to solve the convection-diffusion transport equations and a mixed finite-element method is used to solve the pressure equation. Numerical experiments are presented to investigate the performance of the method. Moreover, because of the Lagrangian nature of the algorithm, the simulator is capable of using large time steps and coarse spatial grids to generate accurate and stable results.