TECHNICAL PAPERS
Dec 1, 2001

Multidimensional Infiltration with Arbitrary Surface Fluxes

Publication: Journal of Irrigation and Drainage Engineering
Volume 127, Issue 6

Abstract

A new solution to the multidimensional linearized Richards equation was derived using a Fourier integral transform. Exponential functional forms k = kseαψ and θ = θr + (θs − θr)eαψ were used to represent the hydraulic conductivity and pressure relation and the soil water release curve. The analytical solutions consider the conditions of time dependence and nonuniform distribution of rainfall intensity and arbitrary initial water content distribution with a water table. The analytical solutions can be used to predict the ponding time and to obtain the volumetric water content distribution over time and space.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Basha, H. A. ( 1999). “Multidimensional linearized nonsteady infiltration with prescribed boundary conditions at the soil surface.” Water Resour. Res., 35(1), 75–83.
2.
Basha, H. A. ( 2000). “Multidimensional linearized nonsteady infiltration toward a shallow water table.” Water Resour. Res., 36(9), 2567–2573.
3.
Batu, V. ( 1980). “Flow net for unsaturated infiltration from periodic strip sources.” Water Resour. Res., 16(2), 284–288.
4.
Batu, V. ( 1983). “Time-dependent linearized two-dimensional infiltration and evaporation from nonuniform and periodic strip sources.” Water Resour. Res., 19(6), 1523–1529.
5.
Batu, V. ( 1982). “Time-dependent linearized two-dimensional infiltration and evaporation from nonuniform and nonperiodic strip sources.” Water Resour. Res., 18(6), 1725–1733.
6.
Morel-Seytoux, H. J. ( 1978). “Derivation of equations for variable rainfall infiltration.” Water Resour. Res., 14(4), 561–568.
7.
Morel-Seytoux, H. J. ( 1981). “Analytical results for prediction of variable rainfall infiltration.” J. Hydro., 59, 209–230.
8.
Ozisik, M. ( 1989). Boundary value problems of heat conduction, Dover, New York, 85–87.
9.
Raats, P. A. C., and Gardner, W. R. ( 1974). “Movement of water in the unsaturated zone near a watertable.” J. Van Schilfgaarde, ed., Drainage for agriculture: Agronomy, Vol. 17, 311–405.
10.
Richards, L. A. ( 1931). “Capillary conduction of liquids through porous mediums.” Physics, Vol. 1, 313–318.
11.
Srivastava, R., and Yeh, T.-C. J. ( 1991). “Analytical solutions of one-dimensional infiltration toward the water table in homogeneous and layered soils.” Water Resour. Res., 27(5), 753–762.
12.
Van Genuchten, M. T. ( 1980). “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J., 44, 982–998.
13.
Warrick, A. W. ( 1975). “Analytical solutions to the one-dimensional linearized moisture flow equation for arbitrary input.” Soil Sci. Soc. Am. J., 120(2), 79–84.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 127Issue 6December 2001
Pages: 370 - 377

History

Received: Jun 19, 2000
Published online: Dec 1, 2001
Published in print: Dec 2001

Permissions

Request permissions for this article.

Authors

Affiliations

Doctor, Dept. of Bioenvironmental Systems Engrg., Nat. Taiwan Univ., Taipei, Taiwan. E-mail: [email protected]
Prof., Dept. of Bioenvironmental Systems Engrg., and Hydrotech Res. Inst., Nat. Taiwan Univ., Taipei, Taiwan (corresponding author). E-mail: [email protected]
Prof., Dept. of Civ. Engrg., Chung Kuo Institute of Technology, Taipei, Taiwan.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
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.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
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.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share