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Multiscale finite element methods for porous media flows and their applications

Efendiev, Y. and Hou, T. Y. (2007) Multiscale finite element methods for porous media flows and their applications. Applied Numerical Mathematics, 57 (5-7). pp. 577-596. ISSN 0168-9274. doi:10.1016/j.apnum.2006.07.009. https://resolver.caltech.edu/CaltechAUTHORS:20100826-114814124

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.apnum.2006.07.009DOIUNSPECIFIED
ORCID:
AuthorORCID
Efendiev, Y.0000-0001-9626-303X
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.
Funders:
Funding AgencyGrant Number
NSFDMS-0327713
NSFITR-0540136
Department of Energy (DOE)DE-FG02-05ER25669
NSFACI-0204932
NSFDMS-0353838
Issue or Number:5-7
DOI:10.1016/j.apnum.2006.07.009
Record Number:CaltechAUTHORS:20100826-114814124
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20100826-114814124
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19675
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:26 Aug 2010 20:42
Last Modified:08 Nov 2021 23:54

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