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Preprints of the Keldysh Institute of Applied Mathematics, 2011, 013, 23 pp. (Mi ipmp119)  

On the Representative elementary volume concept

P. Yu. Tomin
References:
Abstract: Real porous media heterogeneities scales differ by the order of magnitude and have significant influence on filtration flows. Laboratory measurements of rock properties are carried out using core samples of limited size, which may lead to inaccuracies in full-scale reservoir simulation. In the paper, the correctness evaluation criterion for this procedure is investigated using representative elementary volume (REV) concept. It is shown that REV must contain significant number of medium features both for stochastic and deterministic permeability distribution cases. Study of the REV for a two-phase system has revealed that the single-phase case consideration is sufficient for REV sizes estimation. Using the modern volume tomography methods, one can obtain 3D parameters distribution, which allows to use the criteria suggested and to complement the results of commonly used laboratory measurements.
Document Type: Preprint
Language: Russian
Citation: P. Yu. Tomin, “On the Representative elementary volume concept”, Keldysh Institute preprints, 2011, 013, 23 pp.
Citation in format AMSBIB
\Bibitem{Tom11}
\by P.~Yu.~Tomin
\paper On the Representative elementary volume concept
\jour Keldysh Institute preprints
\yr 2011
\papernumber 013
\totalpages 23
\mathnet{http://mi.mathnet.ru/ipmp119}
Linking options:
  • https://www.mathnet.ru/eng/ipmp119
  • https://www.mathnet.ru/eng/ipmp/y2011/p13
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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    References:20
     
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