Research Article
Jun 1976
Solutions to Green-Ampt Infiltration Equation
Publication: Journal of the Irrigation and Drainage Division
Volume 102, Issue 2
Abstract
The simple method of solving the Green-Ampt one-dimensional infiltration equations developed from Darcy's law are proposed for practical applications. The explicit solution is an approximation obtained by employing a power series expansion of the logarithmic term. The maximum error resulting from applying this simple explicit solution is 8%. The implicit exact solution is obtained by refining the explicit solution using the second-order Newton method. The maximum error resulting from employing the implicit solution is 0.003%. These new methods have advantages over other existing solutions in that they are derived from the theory of mathematics and the errors due to approximation can be evaluated theoretically. Moreover, the two methods are simple and easy to use either with a desk calculator or in a digital computer, and they are applicable without limitation on ranges.
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Published In
Journal of the Irrigation and Drainage Division
Volume 102 • Issue 2 • June 1976
Pages: 239 - 248
Copyright
© 1976 American Society of Civil Engineers.
History
Published in print: Jun 1976
Published online: Feb 11, 2021
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Authors
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Ruh-Ming Li, M.ASCE
Asst. Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo.
Daryl B. Simons, F.ASCE
Assoc. Dean for Engrg. Research and Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo.
Michael A. Stevens
Sr. Hydrologist; Dames and Moore, Bethesda, Md., formerly, Assoc. Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.