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Two-Phase Flow Simulation by AMMoC, an Adaptive Meshfree Method of Characteristics

Armin Iske1, Martin Käser2

University of Leicester
Department of Mathematics
Leicester LE1 7RH, UK
2 Civil & Environmental Engineering
University of Trento
I-38050 Trento, ITALY

Computer Modeling in Engineering & Sciences 2005, 7(2), 133-148.


Petroleum reservoir modelling requires effective multiscale methods for the numerical simulation of two-phase flow in porous media. This paper proposes the application of a novel meshfree particle method to the Buckley-Leverett model. The utilized meshfree advection scheme, called AMMoC, is essentially a method of characteristics, which combines an adaptive semi-Lagrangian method with local meshfree interpolation by polyharmonic splines. The method AMMoC is applied to the five-spot problem, a well-established model problem in petroleum reservoir simulation. The numerical results and subsequent numerical comparisons with two leading commercial reservoir simulators, ECLIPSE and FrontSim, show the good performance of our meshfree advection scheme AMMoC.

Cite This Article

Iske, A., Käser, M. (2005). Two-Phase Flow Simulation by AMMoC, an Adaptive Meshfree Method of Characteristics. CMES-Computer Modeling in Engineering & Sciences, 7(2), 133–148.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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