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Two-dimensional Transport of Solutes During Nonsteady Infiltration from a Trickle Source¹

ABSTRACT

A simulation model for analyzing multidimensional simultaneous transfer of a noninteracting solute and water, applicable to infiltration from a trickle source, is developed. The equations describing transient two-dimensional transport of a solute by diffusion and convection in unsaturated porous media are solved numerically by an approach that eliminates the effect of numerical dispersion. The noniterative alternating-direction-implicit finite difference procedure is used. Two mathematical models are considered: (i) a plane flow model involving the Cartesian coordinates x and z, and (ii) an axisymmetric flow model described by the cylindrical coordinates r and z. An example of transport in a homogeneous, isotropic and stable sand and loam soil systems is given. Results are shown for typical cases of trickle infiltration to demonstrate the effects of trickle discharge and soil-hydraulic properties on the pattern of salt distribution in the wetted soil zone. The numerical results show that the approach presented may be useful in analyzing two-dimensional solute transport processes in soils.

¹ Contribution from the Agricultural Research Organization, The Volcani Center, Bet Dagan, Israel. 1974 Series, no. 125-E. The author is grateful to S. P. Neuman, Dept. of Soil Physics, A.R.O., for his helpful suggestions.

² Head, Dept. of Soil Physics, The Volcani Center, A.R.O., Bet Dagan, Israel, and Associate Professor, The Hebrew Univ., Faculty of Agriculture.

Received for publication January 13, 1975. Accepted for publication February 6, 1975.