Improved Decomposition Solution to Green and Ampt Equation
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VIEW THE REPLYPublication: Journal of Hydrologic Engineering
Volume 8, Issue 3
Abstract
Here, the author expands on the results of the paper “Explicit Solution to Green and Ampt Infiltration Equation” by Serrano published in 2001. Specifically, new simple expressions are given for the cumulative infiltration depth and the infiltration rate that include more terms in the decomposition series. These expressions improve the results and overcome the transcription errors in Eqs. (16) and (17) in the paper by Serrano. A criterion for the convergence of the series is given with graphical illustrations of applications. Generally, the decomposition solution is accurate for a wide range of soil and hydrologic parameters. Important errors occur when the rainfall rate is very high relative to the soil hydraulic conductivity (e.g., high rainfall intensity on clayey soils). As time increases, the errors decrease and the decomposition solution is accurate.
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References
Dingman, S. L. (1994). Physical hydrology, Macmillan, New York.
Green, W. H., and Ampt, G. A.(1911). “Studies on soil physics, 1: The flow of air and water through soils.” J. Agric. Sci., 4(1), 1–24.
Kutilek, M., and Nielsen, D. (1994). Soil hydrology, Catena, New York.
Serrano, S. E. (1997). Hydrology for engineers, geologists, and environmental professionals. An integrated treatment of surface, subsurface, and contaminant hydrology, HydroScience Inc., Lexington, Ky.
Serrano, S. E.(2001a). “Explicit solution to Green and Ampt infiltration equation.” J. Hydrologic Eng., 6(4), 336–340.
Serrano, S. E. (2001b). Engineering uncertainty and risk analysis. A balanced approach to probability, statistics, stochastic models, and stochastic differential equations, HydroScience Inc., Lexington, Ky.
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Copyright © 2003 American Society of Civil Engineers.
History
Received: Mar 5, 2002
Accepted: Oct 21, 2002
Published online: Apr 15, 2003
Published in print: May 2003
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