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Solutions for Miscible Displacement of Soil Water with Time-Dependent Velocity and Dispersion Coefficients¹

ABSTRACT

Miscible displacement processes with time-varying velocity and dispersion coefficients are examined. Simplified solutions utilizing arbitrary initial conditions are presented and used to simulate step and slug inputs of solutes into soil during infiltration of water. The solutions are used in the analysis of experimental data, both for field infiltration with a slug of solute and for psychrometric measurements of salt fronts in a laboratory sand column. Experimental data obtained for solute movement was more accurately described using time-increasing dispersion relationships than for constant values.

¹ Contribution from the Arizona Agr. Exp. Sta., Paper 1861. Support was in part by Western Regional Research Project W-68. Presented before Div. S-1, Soil Science Society of America, Aug. 17, 1971, at New York City.

² Associate Professor, Dep. of Soils, Water and Engineering and Research Associate and Professor, Dep. of Watershed Management, respectively.

Received for publication June 5, 1972. Accepted for publication July 27, 1972.