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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.
Copyright 1991 by the American Geophysical Union.
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