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A fractional dispersion model for overland solute transport

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Title: A fractional dispersion model for overland solute transport
Author: Deng, Zhi-Qiang; de Lima, M. Isabel P.; Singh, Vijay P.; de Lima, Jo?�o L. M. P.
Abstract: Using the kinematic-wave overland flow equation and a fractional dispersion-advection equation, a process-oriented, physically-based model is developed for overland solute transport. Two scenarios, one consisting of downslope and the other of upslope rainstorm movements, are considered for numerical computations. Under these conditions, the hydrograph displays a long-tailed distribution due to the variation in flow velocity in both time and distance. The solute transport exhibits a complex behavior. Pollutographs are characterized by a steep rising limb, with a peak, and a long, stretched receding limb; whereas the solute concentration distributions feature a rapid receding limb followed by a long stretched rising limb. Downslope moving storms cause much higher peak in both hydrographs and pollutographs than do upslope moving storms. Both hydrographs and the pollutographs predicted by the fractional dispersion model are in good agreement with the data measured experimentally using a soil flume and a moving rainfall simulator.
Description: An edited version of this paper was published by AGU. Copyright 2006 American Geophysical Union.
Publisher: American Geophysical Union
Subject: decaying source
fractional dispersion
moving rainstorm
overland flow
solute transport
Department: Civil Engineering
Biological and Agricultural Engineering
URI: http://dx.doi.org/10.1029/2005WR004146
Date: 2006-03-18


Deng, Z.-Q., J. L. M. P. de Lima, M. I. P. de Lima, and V. P. Singh (2006), A fractional dispersion model for overland solute transport, Water Resources Research, 42, doi:10.1029/2005WR004146. To view the published open abstract, go to http://dx.doi.org and enter the DOI.

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