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A Two-Phase Model for the Miscible Displacement of Reactive Solutes in Soils¹

ABSTRACT

Miscible displacement is studied by considering the flow regime to be composed of separate mobile and stationary phases. Solute transfer through the mobile phase occurs only by convection, whereas adsorption or reaction by the soil matrix is diffusion limited and occurs normal to the mobile-stationary interface. The model is unique in that a specific rate law is not assumed, but the solution is exact. Results are presented graphically as a function of two parameters which are compared with experimental results of other workers. The displacement of calcium by magnesium was more closely in agreement with theoretical predictions than was adsorption of picloram.

¹ Contribution of the Arizona Agr. Exp. Sta., Tucson. Journal no. 2184. Support was by the US Environmental Protection Agency, Office of Research and Development, Solid and Hazardous Waste Research Lab, Contract 68-03-0208. Presented before Div. S-1 & S-2 of the Soil Science Society of America, Las Vegas, Nev., 12 Nov. 1973.

² Graduate Assistant in Research and Associate Professor, respectively, Department of Soils, Water & Engineering, The University of Arizona, Tucson 85721.

Received for publication October 31, 1973. Accepted for publication March 22, 1974.