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A Central Limit Theorem for Multiscaled Permeability

  • S. M. Kozlov
Chapter
Part of the ISNM International Series of Numerical Mathematics book series (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.

Keywords

Central Limit Theorem Effective Permeability Random Operator Homogenization Theory Local Permeability 
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Copyright information

© Springer Basel AG 1993

Authors and Affiliations

  • S. M. Kozlov
    • 1
  1. 1.Laboratoire APT, URA CNRS 225Université de Provence Aix Marseille IMarseille CedexFrance

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