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Numerical Approximation of Cation Exchange in Miscible Displacement through Soil Columns¹

ABSTRACT

The cation exchange process in soil columns during the miscible displacement of cation solutions was studied. The model involves the assumption that equilibrium between the cation adsorbed and the cation in solution exists. The material balance equation that governs the miscible displacement of cations includes and exchange function and was solved by a finite difference method. This method is capable of solving the material balance equation whether a linear or nonlinear cation exchange isotherm defines the exchange reaction. The applicability of the model and method of solution was tested by conducting soil column experiments. The agreement between the numerical solution and the experimental values was good.

¹ Support of this work by FWQA grant WP-01492-01 is gratefully acknowledged. Published with approval of the Director, Utah, Agr. Exp. Sta. as Journal Paper 1159.

² Post-graduate Research Fellow and Professor of Soil Chemistry, respectively, Dep. of Soil Science & Biometeorology, Utah State University, Logan 84321.

Received for publication April 13, 1971. Accepted for publication July 29, 1971.