Estimating an Impedance-to-Flow Parameter for Flood Peak Prediction in Semiarid Watersheds
Publication: Journal of Hydrologic Engineering
Volume 15, Issue 3
Abstract
The time of concentration equation used in Pima County, Arizona, includes a hydrologic parameter representing the impedance to flow for peak discharge estimation on small [typically less than ] semiarid watersheds. The impedance-to-flow parameter is similar in function to the hydraulic Manning’s roughness coefficient in the kinematic wave time of concentration equation; however, the impedance to flow is a hydrologic parameter representing all portions of a watershed rather than a hydraulic parameter representing friction loss during uniform flow. To relate the impedance-to-flow parameter to physical watershed characteristics, impedance-to-flow values were calculated for return period and observed events on five undeveloped rangeland watersheds and correlated with Manning’s roughness coefficients determined from particle size analysis and simulated flow conditions. Impedance to flow displayed a positive trend with observed peak discharge on each watershed. The results indicate that local impedance-to-flow values can be developed for time of concentration equations using observed rainfall and runoff data, as well as measurable field characteristics. The impedance-to-flow parameter allows for a physical basis in time of concentration estimation without the additional detail of a physically based model.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers thank the anonymous reviewers of this article, the United States Department of Agriculture—Agricultural Research Service, the University of Arizona, and the Pima County Regional Flood Control District for making this study possible. The writers express their gratitude to Michael Zeller, P.E., for developing the Pima County Hydrology Procedures and providing insightful comments on this study.
References
Aldridge, B., and Garrett, J. (1973). Roughness coefficients for stream channels in Arizona, United States Department of the Interior Geological Survey, Tucson, Ariz.
Anderson, T., and Darling, D. (1954). “A test of goodness of fit.” J. Am. Stat. Assoc., 49(268), 765–769.
Arroyo Engineering, LLC. (2007). PC-hydro user’s guide, Tucson, Ariz. ⟨http://rfcd.pima.gov/software⟩ (May 29, 2007).
Cowan, W. (1956). “Estimating hydraulic roughness coefficients.” Agric. Eng., 37(7), 473–475.
Green, C., and Martin, S. (1967). “An evaluation of precipitation, vegetation and related factors on the Santa Rita Experimental Range.” Meteorology and Climatology of Arid Regions Tech. Rep. No. 17, Univ. of Arizona, Institute of Atmospheric Physics, Tucson.
Haan, C., Barfield, B., and Hayes, J. (1994). Design hydrology and sedimentology for small catchments, Academic, San Diego.
Karim, F. (1995). “Bed configuration and hydraulic resistance in alluvial-channel flows.” J. Hydraul. Eng., 121(1), 15–25.
Karim, F., and Kennedy, J. (1990). “Menu of coupled velocity and sediment discharge relations for rivers.” J. Hydraul. Eng., 116(8), 978–996.
Lane, L., and Kidwell, M. (2003). “Santa Rita experimental range: 100 years (1903–2003) of accomplishments and contributions.” Proc., Hydrology and Soil Erosion Conf., RMRS-P-30, USDA Forest Service, Rocky Mountain Research Station, Tucson, Ariz., 92–100.
McCuen, R. (2005). “Accuracy assessment of peak discharge models.” J. Hydrol. Eng., 10(1), 16–22.
McCuen, R., and Spiess, J. (1995). “Assessment of kinematic wave time of concentration.” J. Hydraul. Eng., 121(3), 256–266.
McCuen, R., Wong, S., and Rawls, W. (1984). “Estimating urban time of concentration.” J. Hydraul. Eng., 110(7), 887–904.
Minitab, Inc. (2007). Minitab methods and formulas, State College, Pa.
Mockus, V. (1960). “Selecting a flood frequency method.” Trans. ASAE, 3, 48–54.
Morgali, J., and Linsley, R. (1965). “Computer analysis of overland flow.” J. Hydr. Div., 91(HY3), 81–100.
Phillips, J., and Ingersoll, T. (1998). “Verification of roughness coefficients for selected natural and constructed stream channels in Arizona.” U.S. Geological Survey professional paper 1584, U.S. Dept. of the Interior, U.S. Geological Survey, Denver.
Phillips, J., and Tadayon, S. (2006). “Selection of Manning’s roughness coefficient for natural and constructed vegetated and non-vegetated channels, and vegetation maintenance plan guidelines for vegetated channels in central Arizona.” United States Geological Survey Scientific Investigations Rep. No. 2006-5108, U.S. Dept. of the Interior, U.S. Geological Survey, Reston, Va.
Renard, K., Nichols, M., Woolhiser, D., and Osborn, H. (2008). “A brief background on the U.S. Department of Agriculture Agricultural Research Service walnut gulch experimental watershed.” Water Resour. Res., 44, W05S02.
Rostomov, C. (1967). “Method of estimating storm runoff from small drainage basins: Floods and their computation.” Proc., Leningrad Symp., IASH-UNESCO, Gentbrugge, Belgium, 462–472.
Singh, V. (1976). “Derivation of time of concentration.” J. Hydrol., 30, 147–165.
Soil Conservation Service. (1986). “Urban Hydrology for small watersheds.” Tech. Rep. No. 55 (TR-55), U.S. Dept. of Agriculture, Washington, D.C.
Sturm, T. (2001). Open channel hydraulics, McGraw-Hill, New York, NY.
U.S. Army Corps of Engineers. (1994). “Engineering and design—Hydraulic design of flood control channels.” EM 1110-2-1601, U.S. Army Corps of Engineers, Washington, D.C.
U.S. Army Corps of Engineers, Hydrologic Engineering Center (HEC). (2002). HEC-RAS: River analysis system hydraulic reference manual, U.S. Army Corps of Engineers, Hydrologic Engineering Center, Davis, Calif., ⟨http://www.hec.usace.army.mil/software/hec-ras/hecras-document.html⟩.
USDA. (1979). “Field manual for research in agricultural hydrology.” Agricultural handbook no. 224, U.S. Dept. of Agriculture, Washington, D.C.
U.S. Interagency Advisory Committee on Water Data. (1982). “Guidelines for determining flood flow frequency.” Bulletin 17-B of the Hydrology Subcommittee, U.S. Geological Survey, Office of Water Data Coordination, Reston, Va.
Walpole, R., Myers, R., Myers, S., and Ye, K. (2002). “Probability and statistics for engineers and scientists.” 7th Ed., Prentice-Hall, Upper Saddle River, N.J., 369–370.
Zeller, M. (1977). Hydrology manual for engineering design and flood plain management within Pima County, Arizona, Pima County Department of Transportation and Flood Control District, Tucson, Ariz.
Information & Authors
Information
Published In
Copyright
© 2010 ASCE.
History
Received: Feb 19, 2009
Accepted: Aug 17, 2009
Published online: Aug 24, 2009
Published in print: Mar 2010
Authors
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.