An Extended Transfer Function Model of Field-Scale Solute Transport: Model Development
- H. H. Liu and
- J. H. Dane
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.
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