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Solutions for Transport of Two Sorbed Solutes with Differing Dispersion Coefficients in Soil
Author(s) -
Angelakis A. N.,
Kadir T. N.,
Rolston D. E.
Publication year - 1987
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1987.03615995005100060007x
Subject(s) - dispersion (optics) , chemistry , desorption , adsorption , laplace transform , porous medium , thermodynamics , porosity , mathematics , physics , mathematical analysis , optics , organic chemistry
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.