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Solute Movement in Structured Soils: Two-Region Model with Small Interaction¹

ABSTRACT

A theory of solute movement is presented for those soils where the liquid-filled pores can be partitioned into two distinct pore size classes. One region represents macro- or interaggregate porosity, and the other represents matrix or intraaggregate porosity. The regions may differ in dispersion coefficient, porosity, and flow velocity. In addition, an interaction coefficient characterizes the linear transfer between regions. A regular perturbation method is used to solve the model equations for small interaction coefficients. It is shown that if the interaction coefficient is large, the model approaches the classical dispersion equation. Esitmates of the interaction and its dependence on flow rate are presented along with the influence of interaction on the shape of the breakthrough curves.

¹ Reasearch supported by the College of Agricultural and Life Sciences, Small Scale Waste Management Project, and by the Graduate School Research Committee, Univ. of Wisconsin, Madison.

² Research Assistant, Professor, and Assistant Professor, Dep. of Soil Science, Univ. of Wisconsin, Madison, WI 53706. The first Author is presently Assistant Professor, Dep. of Agron. Univ. of Nebraska, Lincoln, NE 68583. The second Author is presently Professor and Head of the Dep. of Soils, Water, and Engineering, Univ. of Arizona, Tuscon, AZ 85721. The third Author is also with Geological and Natural History Survey of the Univ. of Wisconsin-Extension, Madison.

Received for publication October 7, 1980. Accepted for publication April 8, 1981.

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