Research Article
Jun 1980
Analytical-Numerical Computation of Infiltration
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VIEW THE REPLYAuthors: Antonis D. Koussis, AM.ASCE, and Siu-Lun ChowAuthor Affiliations
Publication: Journal of the Irrigation and Drainage Division
Volume 106, Issue 2
Abstract
An approximate, analytical-numerical solution has been developed for one-dimensional, vertical infiltration of water into soil. The soil diffusivity is assumed to vary either exponentially or as a power law; however, other analytical formulations can also be accommodated. The solution is physically based, involving parameters related to the soil properties, and is valid for short times of infiltration. Its center piece is a simple, rapid, and sufficiently accurate solution for the sorption process. This solution is of the similarity type and the moisture gradient is given in analytical form. The remaining integration of the initial value problem is performed numerically to obtain the moisture distribution. Comparisons with exact numerical solutions are used to test the accuracy of the solution. The influence of gravity is accounted for approximately, following Philip's theory, by an additive series term, that is determined numerically from the integration of a linear ordinary differential equation. Sorptivity is expressed completely analytically, thus providing a simple, and physically rational, algebraic relationship for the cumulative infiltrated volume and the infiltration rate.
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Published In
Journal of the Irrigation and Drainage Division
Volume 106 • Issue 2 • June 1980
Pages: 123 - 134
Copyright
© 1980 American Society of Civil Engineers.
History
Published in print: Jun 1980
Published online: Feb 11, 2021
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Affiliations
Antonis D. Koussis, AM.ASCE
Asst. Prof., Hydr. Lab., Dept. of Civ. Engrg., Univ. of Florida, Gainesville, Fla.
Siu-Lun Chow
Grad. Student, Dept. of Civ. Engrg., Stanford Univ., Palo Alto, Calif.
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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.
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