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A Central Limit Theorem for Multiscaled Permeability

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Flow in Porous Media

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 114))

Abstract

Recent experiments of Noetinger and Jacquin [7] showed high accuracy of the effective three-dimensional permeability formula given by the cube of the average of the third root of local permeability. Here, a model of a locally multiscaled lognormal permeability is proposed for which this formula is asymptotically exact. The model reflects the real situation of many (asymptotically infinite) length scales of heterogeneties.

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References

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Author information

Authors and Affiliations

  1. Laboratoire APT, URA CNRS 225, Université de Provence Aix Marseille I, 3, place V.Hugo, 13331, Marseille Cedex, France

    S. M. Kozlov

Authors
  1. S. M. Kozlov
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics, Purdue University, West Lafayette, IN, 47907, USA

    Jim Douglas Jr.

  2. Fakultät für Informatik, Uni BwM, D-85577, Neubiberg, Germany

    Ulrich Hornung

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© 1993 Springer Basel AG

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Kozlov, S.M. (1993). A Central Limit Theorem for Multiscaled Permeability. In: Douglas, J., Hornung, U. (eds) Flow in Porous Media. ISNM International Series of Numerical Mathematics, vol 114. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8564-5_11

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  • DOI: https://doi.org/10.1007/978-3-0348-8564-5_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9682-5

  • Online ISBN: 978-3-0348-8564-5

  • eBook Packages: Springer Book Archive

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