Macroscopic modelling of transport phenomena in porous media. 1: The continuum approach |
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Authors: | Yehuda Bachmat Jacob Bear |
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Institution: | (1) Hydrological Service, Jerusalem, Israel;(2) Technion-Israel Institute of Technology, Haifa, Israel |
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Abstract: | This is the first of two papers presenting a systematic development of a continuum model of a porous medium and of transport
processes occurring in it. The concept of a Representative Elementary Volume (REV) as opposed to any arbitrary volume of averaging
quantities at the micro-scale, is quantified. A universal criterion for selecting the size of an REV as a function of measurable
characteristics of a porous medium and selected tolerance levels of estimation errors, is developed. The rules of spatial
averaging are extended by including the effects of both the configuration of the solid matrix and of interphase transfer phenomena
within an REV. |
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Keywords: | Averaging rules continuum approach porous medium REV transport phenomena |
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