Technical Papers
Jan 15, 2014

Determination of Optimal Unit Hydrographs and Green-Ampt Parameters for Watersheds

Publication: Journal of Hydrologic Engineering
Volume 19, Issue 2

Abstract

Determination of unit hydrographs using observed rainfall-runoff events can be accomplished by minimizing the deviations between the derived and the observed direct runoff hydrograph ordinates, and accurate estimation of loss rate parameters. Linear programming is an optimization tool that can be used to determine the optimal composite unit hydrograph for a watershed from observed multiple rainfall-runoff data, but requires infiltration losses prior to using the model. Nonlinear programming models overcome this problem and can be used to simultaneously determine the unit hydrograph and loss rate parameters. In fact, several known rainfall-runoff events can be used simultaneously to develop a composite unit hydrograph based upon all those events. Such a model has been developed and applied to multiple storms for watersheds near Buckeye, Arizona; Fort Worth, Texas; and San Antonio, Texas. The nonlinear optimization procedures used for this investigation are the general algebraic modeling system (GAMS) and the generalized reduced gradient (GRG) in a spreadsheet application. Results of the two procedures are comparable.

Get full access to this article

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

Acknowledgments

The authors would like to thank Dr. David B. Thompson and the entire research team of Center for Multidisciplinary Research in Transportation at Texas Tech University for providing data for Texas watersheds to perform the work presented here. The authors would also like to acknowledge Flood Control District of Maricopa County and especially Thomas Loomis and Alejandro Riano for supplying data for the Rainbow Wash watershed within unincorporated Maricopa County, Arizona. The authors would like to thank anonymous reviewers for their useful comments.

References

Che, D., Nangare, M., and Mays, L. W. (2014). “Determination of Clark’s unit hydrograph parameters for watersheds.” J. Hydrol. Eng., 384–387.
Chow, V. T., Maidment, D. R., and Mays, L. W. (1988). Applied hydrology, McGraw-Hill, New York.
Deininger, R. A. (1969). “Linear program for hydrologic analysis.” Water Resour. Res., 5(5), 1105–1109.
Desert Research Institute (DRI). (2010). Terrain, soils and runoff potential in the Rainbow Wash watershed, Maricopa County, Arizona, Nevada System of Higher Education, Nevada.
Eagleson, P. S., Mejia-R, R., and March, F. (1966). “Computation of optimum realizable unit hydro-graphs.” Water Resour. Res. AGU, 2(4), 755–764.
Fylstra, D., Lasdon, L., Watson, J., and Waren, A. (1998). “Design and use of the Microsoft Excel solver.” Interfaces, 28(5), 29–55.
Mays, L. W., and Coles, L. (1980). “Optimization of unit hydrograph determination.” J. Hydrol. Div., 106(HY l), 85–97.
Mays, L. W., and Taur, C. K. (1982). “Unit hydrographs via nonlinear programming.” Water Resour. Res., 18(4), 744–752.
Mays, L. W., and Tung, Y. K. (1992). Hydrosystems engineering and management, McGraw-Hill, New York.
Mays, L. W., and Unver, O. (1984). “Optimal determination of loss rate function and unit hydrographs.” Water Resour. Res., 20(2), 203–214.
Nash, J. E., and Sutcliffe, J. V. (1970). “River flow forecasting through conceptual models 1. A discussion of principle.” J. Hydrol., 10, 282–290.
Natural Resources Conservation Service (NRCS) soil survey maps. (2004). “Web soil survey.” 〈http://websoilsurvey.sc.egov.usda.gov/App/HomePage.htm〉.
Prasad, T. D., Gupta, R., and Prakash, S. (1999). “Determination of optimal loss rate parameters and unit hydrograph.” J. Hydrol. Eng., 83–87.
Sherman, L. K. (1932). “Stream flow from rainfall by the unit hydrograph method.” ENR, 108, 501–505.
Singh, K. P. (1976). “Unit hydrography—A comparative study.” Water Resour. Bul. AWRA, 12(2), 381–392.
Strang, G. (2003). Introduction to applied linear algebra, Wellesley Cambridge Press, Wellesley, MA.
Zhao, B., and Tung, Y. K. (1994). “Determination of optimal unit hydrographs by linear programming.” Water Resour. Manage., 8, 101–119.
Zhao, B., Tung, Y. K., Yeh, K. C., and Yang, J. C. (1995). “Statistical validation methods: Application to unit hydrographs.” J. Hydraul. Eng., 618–624.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 19Issue 2February 2014
Pages: 375 - 383

History

Received: May 29, 2012
Accepted: Feb 1, 2013
Published online: Jan 15, 2014
Published in print: Feb 1, 2014
Discussion open until: Jun 15, 2014

Permissions

Request permissions for this article.

Authors

Affiliations

M.ASCE
Graduate Student, School of Sustainable Engineering and the Built Environment, Arizona State Univ., Tempe, AZ 85257-5306. E-mail: [email protected]
Mandar Nangare [email protected]
M.ASCE
Graduate Student, School of Sustainable Engineering and the Built Environment, Arizona State Univ., Tempe, AZ 85257-5306 (corresponding author). E-mail: [email protected]
Larry W. Mays [email protected]
F.ASCE
Professor, School of Sustainable Engineering and the Built Environment, Arizona State Univ., Tempe, AZ 85257-5306. 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