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Linear and Nonlinear Models of Infiltration From a Point Source¹

ABSTRACT

Numerical and analytical solutions for water flow from a point source are compared. The numerical solution was for the nonlinear moisture flow equation and the analytical solution for the corresponding linearized form. For cyclic conditions, results were approximately the same with regard to range in values between the wettest and driest values. However, the numerical results show a faster response both for wetting and drying. Computational times required of the analytical solution were of the order of 1/20 to 1/200th of that required for the finite difference solutions.

¹ Arizona Agric. Exp. Stn. Pap. No. 2710. Support was from Western Regional Project W-128 and funds provided by the U.S. Dep. of the Interior, Office of Water Resour. Res., as authorized under the Water Resour. Res. Act of 1964, Project B-045-ARIZ.

² Soil Scientist, Water Resources Research Institute, Univ. of Arizona, on leave from Ben Gurion Univ., Beer Sheva, Israel; Professor, Department of Mathematics, and Professor, Department of Soils, Water, and Engineering, respectively, Univ. of Arizona, Tucson, AZ 85721.

Received for publication February 22, 1977. Accepted for publication September 13, 1977.