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Title: COMPARING THE FRACTIONAL AND THE CLASSICAL SOLUTE TRANSPORT EQUATIONS WITH DATA ON SOLUTE BREAKTHROUGH IN SOIL COLUMNS

Author
item SAN JOSE MARTINEZ, FERNANDO - U. OF MADRID, SPAIN
item Pachepsky, Yakov
item Rawls, Walter

Submitted to: Meeting Abstract
Publication Type: Proceedings
Publication Acceptance Date: 5/8/2006
Publication Date: 9/12/2006
Citation: San Jose Martinez, F., Pachepsky, Y.A., Rawls, W.J. 2006. Comparing the fractional and the classical solute transport equations with data on solute breakthrough in soil columns. The Fifth International Conference on Engineering Computational Technology, September 12-15,2006, Las Palmas, Spain. 2006 CDROM.

Interpretive Summary: Solute transport in soils and sediments is commonly simulated with the parabolic advectivedispersive equation, or ADE. In the last decades, it has been reported that this model cannot take in account several important features of solute movement through soil. Recently, a new model base on the assumption that the movement of solute particles belongs to the family of Lévy motions has been put forward. 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. We assembled a database on published solute transport experiments in soil columns and field soils and evaluated the FADE as the transport model in comparison with ADE. A unified framework was considered in order to discuss the effect of different conditions of the solute transport upon the parameter of the fractional differentiation . The fractional advective-dispersive equation as a generalization of classical advective-dispersive equation is a promising enhancement in the hydrologist toolbox.

Technical Abstract: Solute transport in soils and sediments is commonly simulated with the parabolic advective-dispersive equation, or ADE. In the last decades, it has been reported that this model cannot take in account several important features of solute movement through soil. Recently, a new model base on the assumption that the movement of solute particles belongs to the family of Lévy motions has been put forward. 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. We assembled a database on published solute transport experiments in soil columns and field soils and evaluated the FADE as the transport model in comparison with ADE. A unified framework was considered in order to discuss the effect of different conditions of the solute transport upon the parameter of the fractional differentiation . The fractional advective-dispersive equation as a generalization of classical advective-dispersive equation is a promising enhancement in the hydrologist toolbox.