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Multiscale simulations of porous media flows in flow-based coordinate system

Efendiev, Y. and Hou, T. and Strinopoulos, T. (2008) Multiscale simulations of porous media flows in flow-based coordinate system. Computational Geosciences, 12 (3). pp. 257-272. ISSN 1420-0597. doi:10.1007/s10596-007-9073-7. https://resolver.caltech.edu/CaltechAUTHORS:EFEcg08

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Abstract

In this paper, we propose a multiscale technique for the simulation of porous media flows in a flow-based coordinate system. A flow-based coordinate system allows us to simplify the scale interaction and derive the upscaled equations for purely hyperbolic transport equations. We discuss the applications of the method to two-phase flows in heterogeneous porous media. For two-phase flow simulations, the use of a flow-based coordinate system requires limited global information, such as the solution of single-phase flow. Numerical results show that one can achieve accurate upscaling results using a flow-based coordinate system.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s10596-007-9073-7DOIArticle
https://rdcu.be/b0VYAPublisherFree ReadCube access
ORCID:
AuthorORCID
Efendiev, Y.0000-0001-9626-303X
Additional Information:© Springer 2008. Received: 2 April 2006. Accepted: 10 September 2007. Published online: 6 March 2008. We would like to thank Dr. Victor Ginting for providing us with themultiscale finite volume code. We would like also to thank Dr. Yuguang Chen for providing us with the synthetic channelized permeability fields and the reviewers for their valuable comments. This research is supported by DOE grant DE-FG02-06ER25727. T.Y.H. would like also to acknowledge partial support from the NSF Information Technology Research grant ACI-0204932 and the NSF Focused Research Groups grant DMS-0353838.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-06ER25727
NSFACI-0204932
NSFDMS-0353838
Subject Keywords:Porous media flow; Flow-based coordinate system; Two-phase flow; Multiscale; Upscaling
Issue or Number:3
DOI:10.1007/s10596-007-9073-7
Record Number:CaltechAUTHORS:EFEcg08
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:EFEcg08
Official Citation:Efendiev, Y., Hou, T. & Strinopoulos, T. Multiscale simulations of porous media flows in flow-based coordinate system. Comput Geosci 12, 257–272 (2008). https://doi.org/10.1007/s10596-007-9073-7
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11759
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:23 Sep 2008 17:56
Last Modified:08 Nov 2021 22:02

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