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WATER RESOURCES RESEARCH, VOL. 27, NO. 7, PAGES 1529–1536, 1991

Exact Solution for Nonlinear, Nonhysteretic Redistribution in Vertical Soil of Finite Depth

G. C. Sander

Division of Australian Environmental Studies, Griffith University, Nathan, Queensland


I. F. Cunning

Division of Australian Environmental Studies, Griffith University, Nathan, Queensland


W. L. Hogarth

Division of Australian Environmental Studies, Griffith University, Nathan, Queensland


J.-Y. Parlange

Department of Agricultural and Biological Engineering, Cornell University, Ithaca, New York


Abstract

We present the first exact solution to nonlinear, nonhysteretic redistribution of water in a vertical column of soil of finite depth. We analyze the effects of gravity, capillarity and initial volume of infiltrated water on the redistribution process. Redistributed profile shapes are found to be consistent with the numerically produced profiles in the absence of hysteresis. Finally, we derive the steady state redistributed profile for arbitrary soil properties.

Received 28 November 1988; accepted 21 February 1991.


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Citation: Sander, G. C., I. F. Cunning, W. L. Hogarth, and J.-Y. Parlange (1991), Exact Solution for Nonlinear, Nonhysteretic Redistribution in Vertical Soil of Finite Depth, Water Resour. Res., 27(7), 1529–1536.