Using the Volume Averaging Technique to Perform the First Change of Scale for Natural Random Porous Media

  • D. Bernard
Part of the International Centre for Mechanical Sciences book series (CISM, volume 364)


The volume averaging technique is one of the various theoretical methods providing a rigorous description of the change of scale procedure. Applying this method to pore scale flow through natural porous media gives rise to several theoretical and practical problems. This paper is a progress report of an ongoing effort to solve most of them in order to build physically and structurally realistic models of flow through natural porous media. We present here some recent results concerning the characterisation of the random geometry of those media, the definition of a Representative Elementary Volume (REV) appropriate for the considered change of scale, and the relevance of periodic boundary conditions to solve the closure problem originated in this process.


Porous Medium Representative Elementary Volume Percolation Threshold Permeability Tensor Permeability Evolution 
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© Springer-Verlag Wien 1995

Authors and Affiliations

  • D. Bernard
    • 1
  1. 1.C.N.R.S. URAL.E.P.T.-ENSAMTalenceFrance

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