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Fractional Advective-Dispersive Equation to Simulate Solute Transport in Soils
Published by the American Society of Agricultural and Biological Engineers, St. Joseph, Michigan www.asabe.orgCitation: Pp. 117-120 in Preferential Flow, Water Movement and Chemical Transport in the Environment, Proc. 2nd Int. Symp. (3-5 January 2001, Honolulu, Hawaii, USA), eds. D. D. Bosch and K. W. King. St. Joseph, Michigan: ASAE 701P0006.(doi:10.13031/2013.2120)
Authors: Y. A. Pachepsky and W. J. Rawls
Keywords: water quality, modeling, scale, solute transport
Solute dispersivity in the conventional advective-dispersive equation (ADE) was found to increase with a distance from the source. This can be explained assuming the movement of solute particles belongs to the family of Lévy motions. A one-dimensional solute transport equation was derived for Lévy motions using fractional derivatives to describe the dispersion. Our objective was to test applicability of this fractional ADE, or FADE, to soils. The FADE has two parameters - the fractional dispersion coefficient and the order of fractional differenti