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Published May 2007 | metadata_only
Journal Article

Multiscale finite element methods for porous media flows and their applications


In this paper, we discuss some applications of multiscale finite element methods to two-phase immiscible flow simulations in heterogeneous porous media. We discuss some extensions of multiscale finite element methods which take into account limited global information. These methods are well suited for channelized porous media, where the long-range effects are important. This is typical for some recent benchmark tests, such as the SPE comparative solution project [M. Christie, M. Blunt, Tenth SPE comparative solution project: A comparison of upscaling techniques, SPE Reser. Eval. Engrg. 4 (2001) 308–317], where porous media has a channelized structure. The applications of multiscale finite element methods to inverse problems arisen in subsurface characterization are also discussed in the paper.

Additional Information

© 2006 IMACS. Published by Elsevier B.V. Available online 28 August 2006. We would like to thank Paul Dostert, Victor Ginting and Wuan Luo for their help in preparing this manuscript. The research of the first author is partially supported by NSF grants DMS-0327713, ITR-0540136 and DOE grant DE-FG02-05ER25669. The research of the second author is partially supported by NSF ITR Grant No. ACI-0204932 and NSF FRG Grant No. DMS-0353838.

Additional details

August 19, 2023
August 19, 2023