The dispersive flux in transport phenomena in porous media |
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| Authors: | Yehuda Bachmat Jacob Bear |
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| Institution: | Hydrological Service, Jerusalem, Israel;Technion-Israel Institute of Technology, Haifa 32000, Israel |
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| Abstract: | Employing the principles of continuum mechanics and a volumetric averaging approach to the derivation of the macroscopic balance equation of an extensive quantity of a fluid phase in a porous medium, the paper derives a macroscopic expression for the dispersive flux that appears in the latter as a result of averaging. It is shown that the dispersive flux obeys a Fickian type law, i.e., it is proportional to the macroscopic density gradient of the considered extensive quantity. The nature of the coefficient of dispersion that appears in the expression of the dispersive flux is analyzed and interpreted. |
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