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

In: Journal of Hydrology and Hydromechanics, vol. 61, no. 2
Martinus Van Genuchten - Feike Leij - Todd Skaggs - Nobuo Toride - Scott Bradford - Elizabeth Pontedeiro
Detaily:
Rok, strany: 2013, 146 - 160
Kľúčové slová:
Contaminant transport; Analytical solutions; Surface water; Advection-dispersion equation.
URL originálneho zdroja: http://www.ih.savba.sk/jhh
O článku:
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- rder 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.
Ako citovať:
ISO 690:
Van Genuchten, M., Leij, F., Skaggs, T., Toride, N., Bradford, S., Pontedeiro, E. 2013. Exact analytical solutions for contaminant transport in rivers. 1. The equilibrium advection-dispersion equation. In Journal of Hydrology and Hydromechanics, vol. 61, no.2, pp. 146-160. 0042-790X (until 2019) .

APA:
Van Genuchten, M., Leij, F., Skaggs, T., Toride, N., Bradford, S., Pontedeiro, E. (2013). Exact analytical solutions for contaminant transport in rivers. 1. The equilibrium advection-dispersion equation. Journal of Hydrology and Hydromechanics, 61(2), 146-160. 0042-790X (until 2019) .