<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Contaminant transport processes in streams, rivers, and other surface water bodies can be analyzed or predicted using the advection-dispersion equation and related transport models. In part 1 of this two-part series we presented a large number of one- and multi-dimensional analytical solutions of the standard equilibrium advection-dispersion equation (ADE) with and without terms accounting for zero-order production and first-order decay. The solutions are extended in the current part 2 to advective-dispersive transport with simultaneous first-order mass exchange between the stream or river and zones with dead water (transient storage models), and to problems involving longitudinal advectivedispersive transport with simultaneous diffusion in fluvial sediments or near-stream subsurface regions comprising a hyporheic zone. Part 2 also provides solutions for one-dimensional advective-dispersive transport of contaminants subject to consecutive decay chain reactions.</p></abstract>

Contaminant transport processes in streams, rivers, and other surface water bodies can be analyzed or predicted using the advection-dispersion equation and related transport models. In part 1 of this two-part series we presented a large number of one- and multi-dimensional analytical solutions of the standard equilibrium advection-dispersion equation (ADE) with and without terms accounting for zero-order production and first-order decay. The solutions are extended in the current part 2 to advective-dispersive transport with simultaneous first-order mass exchange between the stream or river and zones with dead water (transient storage models), and to problems involving longitudinal advectivedispersive transport with simultaneous diffusion in fluvial sediments or near-stream subsurface regions comprising a hyporheic zone. Part 2 also provides solutions for one-dimensional advective-dispersive transport of contaminants subject to consecutive decay chain reactions.

Exact Analytical Solutions for Contaminant Transport in Rivers

Department of Mechanical Engineering, Federal University of Rio de Janeiro, UFRJ, Rio de Janeiro, RJ, Brazil

Department of Civil and Construction Engineering Management, California State University, Long Beach, California, USA

U.S. Salinity Laboratory, USDA, ARS, Riverside, California, USA

Faculty of Bioresources, Mie University, Tsu, Japan

Department of Nuclear Engineering, Federal University of Rio de Janeiro, UFRJ, Rio de Janeiro, RJ, Brazil

Journal of Hydrology and Hydromechanics

2. Transient storage and decay chain solutions

Contaminant transport processes in streams, rivers, and other surface water bodies can be analyzed or predicted using the advection-dispersion equation and...

Exact Analytical Solutions for Contaminant Transport in Rivers

Published Online: Aug 24, 2013

Page range: 250 - 259

DOI: https://doi.org/10.2478/johh-2013-0032

Keywords
Contaminant transport, Analytical solutions, Surface water, Transient storage models, Solute decay chains

This content is open access.

Exact Analytical Solutions for Contaminant Transport in Rivers

Published Online: Aug 24, 2013

Page range: 250 - 259

DOI: https://doi.org/10.2478/johh-2013-0032

KeywordsContaminant transport, Analytical solutions, Surface water, Transient storage models, Solute decay chains

This content is open access.

Keywords
Contaminant transport, Analytical solutions, Surface water, Transient storage models, Solute decay chains