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Steady-state Solute Convection in Two Dimensions With Nonuniform Infiltration¹

ABSTRACT

The steady-state unsaturated flow equation in two dimensions is solved for an exponential unsaturated conductivity using the Kirchhoff transformation. Streamlines, travel times, and isochrones are calculated for an infiltration rate which is a piece-wise linear function of horizontal coordinate. Results are compared with the equivalent solutions for a saturated soil. In addition to solutions in dimensionless form, an example is presented for Plainfield sand. The results confirm that surface variations in infiltration rate may be propagated to a considerable depth, particularly in sandy soils. This may account, in part, for the variability in solute leaching frequently observed in the field.

¹ Contribution from the Dep. of Soil Science, Univ. of Wis., Madison, WI 53706. Research supported by the College of Agric. and Life Sciences, Univ. of Wis., Madison.

² Visiting Assistant Professor of Civil Engineering and Professor of Soil Physics. Permanent address of senior author is Dep. of Civil Engineering, Karadeniz (Blacksea) Technical Univ., Trabzon, Turkey.

Received for publication February 14, 1977. Accepted for publication September 1, 1977.