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Solutions for Transport of Two Sorbed Solutes with Differing Dispersion Coefficients in Soil¹

ABSTRACT

Simultaneous transformation and transport in the soil of two solutes with different dispersion coefficients were described by two, one-dimensional linear partial differential equations. Linear, equilibrium adsorption-desorption relationships for both solutes and irrerversible microbial first-order kinetics as an overall transformational mechanism were assumed. Consecutive analytical solutions were developed using Laplace transforms for zero initial concentrations, pulse input conditions and semi-infinite media. Special cases in which the first solute moved only by mass flow and both solutes described by the same dispersion coefficient were considered. Sample problems to demonstrate the applicability of the solutions and their sensitivity to dispersion coefficients of both solutes are presented. Computed concentration profiles of the first or second solute are sensitive to their respective dispersion coefficient, especially under low degree of adsorption of both species. The sensitivity of the concentration profiles of the second solute to the dispersion coefficient of the first species occurs, however, only under a low degree of adsorption and low decay rates of that species.

¹ Contribution from the Department of Land, Air and Water Resources, Univ. of California, Davis 95616.

² Water Resources Engineer, Assistant Engineer Water Resources, and Professor of Soil Science, Regional Agricultural Service of Crete Greece, California State Department of Water Resources, and University of California, Davis, respectively.

Received for publication August 18, 1986.