TECHNICAL NOTES
Aug 27, 2010

Applicability of the Green-Ampt Infiltration Model with Shallow Boundary Conditions

Publication: Journal of Hydrologic Engineering
Volume 16, Issue 3

Abstract

The Green-Ampt model is an approximate analytical solution to Richards’ equation that is commonly used to simulate infiltration processes in hydrological models and land surface schemes. The Green-Ampt model assumes that neither a water table nor an impermeable layer (e.g., bedrock or a frost table) exist near the soil surface. In regional-scale applications these idealized conditions will often not be met, and it is presently unclear what implications this has for regional water resource models. This paper investigates the limiting conditions under which the Green-Ampt model is appropriate and how individual assumptions about lower boundary conditions affect the validity of the model. Guided by the comparison between the Green-Ampt model and numerical solutions to Richards’ equation, various simple revisions to the Green-Ampt model are suggested. Results demonstrate that even when the traditional assumptions are relaxed, the Green-Ampt model often still provides reasonable results for regional-scale analysis and can be amended to account for conditions for which it was not intended.

Get full access to this article

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

Acknowledgments

Funding for this research is provided by the “Improved Processes and Parameterization for Prediction in Cold Regions” (IP3), a research network funded by the UNSPECIFIEDCanadian Foundation for Climate and Atmospheric Sciences (CF-CAS).

References

Barry, D. A., Parlange, J. Y., Li, L., Jeng, D. S., and Crapper, M. (2005). “Green-Ampt approximations.” Adv. Water Resour., 28(10), 1003–1009.
Barry, D. A., Parlange, J.-Y., Sander, G. C., and Sivapalan, M. (1993). “A class of exact solution for Richards equation.” J. Hydrol. (Amsterdam, Neth.), 142, 29–46.
Beven, K. (1984). “Infiltration into a class of vertically nonuniform soils.” J. Hydrol. Sci., 29(4), 425–434.
Bicknell, B., Imhoff, J. K. J., Jobes, T., and Jr, A. D. (2001). “Hydrological simulation program, Fortran. User’s manual for release 12.” Rep. R804971-01, USEPA, Ecosystem Research Division, Athens, GA, U.S. Geological Survey, Office of Surface Water, Reston, VA.
Bouwer, H. (1966). “Rapid field measurement of air entry value and hydraulic conductivity of soil as significant parameters in flow system analysis.” Water Resour. Res., 2(4), 729–738.
Childs, E. C., and Bybordi, M. (1969). “The vertical movement of water in stratified porous material. 1. Infiltration.” Water Resour. Res., 5(2), 446–459.
Chu, S. T. (1978). “Infiltration during an unsteady rain.” Water Resour. Res., 14(3), 461–466.
Clapp, R. B., and Hornberger, G. M. (1978). “Empirical equations for some soil hydraulic properties.” Water Resour. Res., 14, 601–604.
Clement, T. P., Wise, W. R., and Molz, F. J . (1994). “A physical based, two-dimensional, finite-difference algorithm for modeling variably saturated flow.” J. Hydrol. (Amsterdam, Neth.), 161, 71–90.
Craig, J. R., Liu, G., and Soulis, E. D. (2010). “Runoff-infiltration partitioning using an upscaled Green-Ampt solution,” Hydrolog. Process., .
Crank, J., and Nicolson, P. (1947). “A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type.” Adv. Comput. Math., 43, 5067.
Ginger, B. P., Stone, J., and Lane, L. J. (2002). “Astrip model approach to parameterize a coupled Green-Ampt kinematic wave model.” J. Am. Water Resour. Assoc., 38(5), 1363–1377.
Gottardi, G., and Venutelli, A. (1993). “Richards: Computer program for the numerical simulation of one-dimensional infiltration into unsaturated soil.” Comput. Geosci., 19(9), 1239–1266.
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.
Hsu, S. M., Ni, C., and Hung, P. (2002). “Assessment of three infiltration formulas based on model fitting on Richards equation.” J. Hydrol. Eng., 7(5), 373–379.
Jia, Y., and Tamai, N. (1997). “Modeling infiltration into a multilayered soil during a unsteady rain.” Ann. J. Hydraul. Eng., 41, 31–36.
Liu, J., Zhang, J., and Feng, J. (2008). “Green-Ampt model for layered soils with nonuniform initial water content under unsteady infiltration.” Soil Sci. Soc. Am. J., 72, 1041–1047.
Mein, R. G., and Larson, C. L. (1973), “Modeling infiltration during a steady rain.” Water Resour. Res., 9(2), 384–394.
Neitsch, S. L., Arnold, J. G., Kiniry, J. R., and Williams, J. R. (2002). “Assessment tool theoretical documentation.” Grassland, Soil and Water Research Laboratory, Agricultural Research Service, Temple, TX.
Neuman, S. P. (1976). “Wetting front pressure head in the infiltration model of Green and Ampt.” Water Resour. Res., 12(3), 564–566.
NSERL. (1995). “USDA-water erosion prediction project, hillslope profile and watershed model documentation.” Rep. No. 10, National Soil Erosion Research Laboratory, West Lafayette, IN.
Philip, J. R. (1957). “The theory of infiltration: 4 sorptivity and algebraic infiltration equations.” Soil Sci., 84, 257–264.
Ravi, V., and Williams, J. R. (1998). “Estimation of infiltration rate in the vadose zone: Compilation of simple mathematical models.” Rep. No. EPA/600/R-97/128a, U.S. Environmental Protection Agency, Ada, OK.
Verseghy, D. (1991). “CLASS—a Canadian land surface scheme for GCMS. I. soil model.” Int. J. Climatol., 11, 111–133.
Wang, Q., Shao, M., and Horton, R. (1999). “Modified Green and Ampt models for layered soil infiltration and muddy water infiltration.” Soil Sci., 164(7), 445–453.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 16Issue 3March 2011
Pages: 266 - 273

History

Received: Dec 9, 2009
Accepted: Jul 29, 2010
Published online: Aug 27, 2010
Published in print: Mar 1, 2011

Permissions

Request permissions for this article.

Authors

Affiliations

Guoxiang Liu [email protected]
Ph.D., Dept. of Civil and Environmental Engineering, Univ. of Waterloo, 200 University Avenue West, Waterloo Ontario, N2L 3G1, Canada. E-mail: [email protected]
James R. Craig [email protected]
Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Waterloo, 200 University Avenue West, Waterloo Ontario, N2L 3G1, Canada. E-mail: [email protected]
Eric D. Soulis [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of Waterloo, 200 University Avenue West, Waterloo Ontario, N2L 3G1, Canada. E-mail: [email protected]

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