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

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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 364))

Abstract

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.

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© 1995 Springer-Verlag Wien

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Bernard, D. (1995). Using the Volume Averaging Technique to Perform the First Change of Scale for Natural Random Porous Media. In: Gambolati, G., Verri, G. (eds) Advanced Methods for Groundwater Pollution Control. International Centre for Mechanical Sciences, vol 364. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2696-7_2

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  • DOI: https://doi.org/10.1007/978-3-7091-2696-7_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82714-7

  • Online ISBN: 978-3-7091-2696-7

  • eBook Packages: Springer Book Archive

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