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Mixed Multiscale Finite Element Methods on Adaptive Unstructured Grids Using Limited Global Information

J. E. Aarnes, Y. Efendiev, T.Y. Hou, and L. Jiang

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0001
Subject:
Mathematics, Applied Mathematics

We study mixed multiscale finite element methods (MsFEM) on unstructured coarse grids. Unstructured grids are often used when highly heterogeneous reservoirs are discretized via irregular anisotropic ... More


Fractured Porous Media

Pierre M. Adler, Jean-François Thovert, and Valeri V. Mourzenko

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199666515
eISBN:
9780191748639
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199666515.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

This book aims to estimate the macroscopic properties of fractures, fracture networks and fractured porous media from easily measurable quantities. Attention is focused on geological media where ... More


Two-phase flow through fractured porous media

Pierre M. Adler, Jean-François Thovert, and Valeri V. Mourzenko

in Fractured Porous Media

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199666515
eISBN:
9780191748639
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199666515.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

Chapter 7 provides some preliminary results on two phase flows in fractured porous media. The classical equations on the Darcy scale are presented as well as the van Genuchten constitutive relations ... More


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