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A Theoretical Study of the Inclusion of Dispersion in Boundary Conditions and Transport Equations for Zero-order Kinetics¹

ABSTRACT

The transport of a solute in a soil column is considered for zero-order kinetics. The visible displacement of the solute is affected by dispersion. The dispersion coefficient enters both the transport equation and the boundary condition. It is shown that the latter is the most important effect and a simple equation is proposed to describe solute transport, which takes into account the influence of dispersion in the boundary condition, but not in the transport equation. Validity and limitations of this equation are discussed in some detail by comparison with the complex but exact solution for zero-order kinetics.

¹ Contribution from the School of Australian Environmental Studies, Griffith University, Brisbane, Queensland, 4111; and from the USDA-ARS, Beltsville Agric. Research Center, Beltsville, MD 20705.

² Professor, Griffith University; Research Soil Scientist, USDA; and Postgraduate Student and Senior Lecturer, Griffith University, respectively.

Received for publication April 28, 1981. Accepted for publication March 22, 1982.