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Exact solution for nonlinear, nonhysteretic redistribution in vertical soil of finite depth
Author(s) -
Sander G. C.,
Cunning I. F.,
Hogarth W. L.,
Parlange J.Y.
Publication year - 1991
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/91wr00508
Subject(s) - redistribution (election) , nonlinear system , hysteresis , mechanics , exact solutions in general relativity , physics , mathematics , mathematical analysis , condensed matter physics , quantum mechanics , politics , political science , law
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.