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A Simplified Model for Solute Movement Through Soils¹

ABSTRACT

Solute movement through soil can be described by a variety of mathematical models whose unknown parameters (often three or more) must be estimated accurately and efficiently. In many cases, the movement of an ion can be described by a breakthrough curve at a given depth. Such a curve resulting from a step input of solute is often of sigmoidal shape. In this paper, an error function model that fits such a breakthrough curve is presented with two unknown parameters. The parameters can be estimated explicitly by a small calculator. Although chosen by least square differences, the parameters can be interpreted on the basis of sound physical principles.

¹ Contribution from The Univ. of Arizona Agric. Exp. Stn., Paper no. 3656. This research was supported in part by Grant no. R807915-01, Office of Research and Development, Environmental Protection Agency, Washington, DC.

² Former Research Associate and Professors, Dep. of Soils, Water and Engineering, The Univ. of Arizona, Tucson, AZ 85721. The Senior Author is presently Assistant Professor, Dep. of Soil Science, North Carolina State Univ., Raleigh, NC 27650.

Received for publication September 21, 1982. Accepted for publication May 24, 1983.