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An Extended Transfer Function Model of Field-Scale Solute Transport: Model Development

*Corresponding author (jdane{at}ag.auburn.edu).

ABSTRACT

Commonly used one-dimensional models for predicting solute transport in the field are based on either a deterministic convection-dispersion equation or a stochastic-convective principle. These models, however, are limited to describing solute transport characterized by either a linear or a quadratic increase in the travel time variance with depth in a steady-state flow field. Based on an existing transfer function model, we propose a solute transport model in which the travel time variance increases proportionally with depth to the power 2a, where a is an adjustable constant representing the degree of horizontal solute mixing. The model based on the deterministic convection-dispersion equation is well approximated by the proposed model for a = 0.5, while the model based on a stochastic-convective principle is a special case of our model for a = 1. Effects of different a values on solute transport and relevant problems are briefly discussed.

The senior author is presently in the Environmental Systems Engineering Department, Clemson University, Clemson, South Carolina. Contribution from the Alabama Agric. Exp. Stn. as AAES Journal no. 3-955002. Department of Agronomy and Soils, Auburn Univ., Auburn, Alabama.

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