Exact analytical solutions for contaminant transport in rivers. 1. The equilibrium advection-dispersion equation

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Title:Exact analytical solutions for contaminant transport in rivers. 1. The equilibrium advection-dispersion equation
Creators:
van Genuchten, Martinus Th.; rvangenuchten at hotmail dot com; Department of Mechanical Engineering, Federal University of Rio de Janeiro, UFRJ, Rio de Janeiro, RJ, Brazil.
Leij, Feike J.; Department of Civil and Construction Engineering Management, California State University, Long Beach, California, USA.
Skaggs, Todd H.; U.S. Salinity Laboratory, USDA, ARS, Riverside, California, USA.
Toride, Nobuo; Faculty of Bioresources, Mie University, Tsu, Japan.
Bradford, Scott A.; U.S. Salinity Laboratory, USDA, ARS, Riverside, California, USA.
Pontedeiro, Elizabeth M.; Department of Nuclear Engineering, Federal University of Rio de Janeiro, UFRJ, Rio de Janeiro, RJ, Brazil.
Journal or Publication Title:
Journal of Hydrology and Hydromechanics, 61, 2, pp. 146-160
Uncontrolled Keywords:Contaminant transport, Analytical solution, Surface water, Advection-dispersion equation

Abstract

Analytical solutions of the advection-dispersion equation and related models are indispensable for predicting or analyzing contaminant transport processes in streams and rivers, as well as in other surface water bodies. Many useful analytical solutions originated in disciplines other than surface-water hydrology, are scattered across the literature, and not always well known. In this two-part series we provide a discussion of the advection-dispersion equation and related models for predicting concentration distributions as a function of time and distance, and compile in one place a large number of analytical solutions. In the current part 1 we present a series of one- and multi-dimensional solutions of the standard equilibrium advection-dispersion equation with and without terms accounting for zero-order production and first-order decay. The solutions may prove useful for simplified analyses of contaminant transport in surface water, and for mathematical verification of more comprehensive numerical transport models. Part 2 provides solutions for advective-dispersive transport with mass exchange into dead zones, diffusion in hyporheic zones, and consecutive decay chain reactions.

Official URL: http://147.213.145.2/vc/vc1.asp

Title:Exact analytical solutions for contaminant transport in rivers. 1. The equilibrium advection-dispersion equation
Translated title:Exact analytical solutions for contaminant transport in rivers. 1. The equilibrium advection-dispersion equation
Creators:
van Genuchten, Martinus Th.; rvangenuchten at hotmail dot com; Department of Mechanical Engineering, Federal University of Rio de Janeiro, UFRJ, Rio de Janeiro, RJ, Brazil.
Leij, Feike J.; Department of Civil and Construction Engineering Management, California State University, Long Beach, California, USA.
Skaggs, Todd H.; U.S. Salinity Laboratory, USDA, ARS, Riverside, California, USA.
Toride, Nobuo; Faculty of Bioresources, Mie University, Tsu, Japan.
Bradford, Scott A.; U.S. Salinity Laboratory, USDA, ARS, Riverside, California, USA.
Pontedeiro, Elizabeth M.; Department of Nuclear Engineering, Federal University of Rio de Janeiro, UFRJ, Rio de Janeiro, RJ, Brazil.
Uncontrolled Keywords:Contaminant transport, Analytical solution, Surface water, Advection-dispersion equation
Subjects:T Technology > TA Engineering (General). Civil engineering (General)
Divisions:Mathematics, Physics and Earth Sciences > Institute of Hydrodynamics > Journal of Hydrology and Hydromechanics
Journal or Publication Title:Journal of Hydrology and Hydromechanics
Volume:61
Number:2
Page Range:pp. 146-160
ISSN:0042-790X
Publisher:Institute of Hydrology of the Slovak Academy of Sciences and the Institute of Hydrodynamics of the Academy of Sciences of the Czech Republic
Related URLs:
URLURL Type
http://avi.lib.cas.cz/node/55Publisher
ID Code:7765
Item Type:Article
Deposited On:15 Jul 2013 19:29
Last Modified:15 Jul 2013 17:29

Citation

van Genuchten, Martinus Th.; Leij, Feike J.; Skaggs, Todd H.; Toride, Nobuo; Bradford, Scott A.; Pontedeiro, Elizabeth M. (2013) Exact analytical solutions for contaminant transport in rivers. 1. The equilibrium advection-dispersion equation. Journal of Hydrology and Hydromechanics, 61 (2). pp. 146-160. ISSN 0042-790X

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