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Analytical Solution of the Convective-Dispersive Equation for Cation Adsorption in Soils¹

ABSTRACT

The analytical solution of a cation adsorption soil problem is derived in detail by an integral transform method. The solution applies to the case of unsteady-state, one-dimensional flow through soils where a linear equilibrium exists between the cation in the flowing solution and the cation adsorbed on the exchanger phase. The effects of axial dispersion are also included in the solution.

¹ Supported by US Department of the Interior, Office of Water Resources Research Grant WR-AO41-MASS.

² Lecturer and Research Associate, Dep. of Civil and Geological Engineering, Princeton Univ., Princeton, New Jersey 08540; and Professor, Dep. of Civil Engineering, Univ. of Massachusetts, Amherst, Mass. 01002, respectively.

Received for publication September 8, 1972. Accepted for publication November 8, 1972.