Derivation of the Singh-Yu Infiltration Equation Using Entropy Theory
Publication: Journal of Hydrologic Engineering
Volume 16, Issue 2
Abstract
Using the entropy theory, this note derives the Singh-Yu infiltration equation which is based on two simple constraints: (1) the total probability and (2) the mean logarithmic effective infiltration. The entropy theory permits a probabilistic characterization of the potential infiltration rate and hence the probability density function underlying the Singh-Yu infiltration equation. It also permits a quantitative assessment of the uncertainty of the infiltration yielded by the equation.
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Acknowledgments
Mr. Zengchao Hao, a graduate student in the Department of Biological and Agricultural Engineering at Texas A&M University, helped with the computation and drawings and his help is gratefully acknowledged.
References
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Published In
Journal of Hydrologic Engineering
Volume 16 • Issue 2 • February 2011
Pages: 187 - 191
Copyright
© 2011 ASCE.
History
Received: Jan 22, 2010
Accepted: Jul 20, 2010
Published online: Jan 14, 2011
Published in print: Feb 2011
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