Methodology for Identifying the Best Equations for Estimating the Time of Concentration of Watersheds in a Particular Region
Publication: Journal of Irrigation and Drainage Engineering
Volume 137, Issue 11
Abstract
In this paper, a methodology is proposed for identifying the best equations for estimating the time of concentration (ToC) of watersheds located in a specific geographic region. The methodology primarily works on the basis of modifying available equations to minimize their bias for any particular region of interest. In the methodology, for each watershed, the ToC considered as “reference” is determined using the Natural Resource Conservation Service (NRCS) velocity method employed in the TR-55 model and geographic information systems data. Moreover, a ranking-based selection strategy is developed for evaluating and selecting the best performing methods. In a case study, the proposed methodology is applied to 72 watersheds and subwatersheds in Khorasan Razavi province, Iran. According to the study, the California equation (with a correction factor of 1.715), the Kirpich (Tennessee) equation (with a correction factor of 1.721), and the Arizona DOT equation (with a correction factor of 1.126) have the best performance for the selected watersheds.
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References
Akan, A. O., and Houghtalen, R. J. (2003). Urban hydrology, hydraulics, and stormwater quality: Engineering applications and computer modeling, Wiley, Hoboken, NJ.
Arizona Dept. of Transportation (ADOT). (1993). Highway drainage design manual hydrology, Phoenix.
Aron, G., and Egborge, C. E. (1973). “A practical feasibility study of flood peak abatement in urban areas.” U.S. Army Corps of Engineers, Sacramento, CA.
California Division of Highways (CDH). (1960). “California culvert practice.” Dept. of Public Works, Division of Highways, Sacramento, CA.
Carter, R. W. (1961). “Magnitude and frequency of floods in suburban areas.” Professional Paper 424-B B9-B11, U.S. Geological Survey, Reston, VA.
Chow, V. T., Maidment, D. R., and Mays, L. W. (1988). Applied hydrology, McGraw-Hill, New York.
Fang, X., Cleveland, T., Garcia, C. A., Thomson, D., and Malla, R. (2005). “Literature review on timing parameters for hydrographs.” Project Number 0-4696/1, Texas Dept. of Transportation, Austin, TX.
Fang, X., Thompson, D. B., Cleveland, T. G., and Pradhan, P. (2007). “Variations of time of concentration estimates using NRCS velocity method.” J. Irrig. Drain Eng., 133(4), 314–322.
Fang, X., Thompson, D. B., Cleveland, T. G., Pradhan, P., and Malla, R. (2008). “Time of concentration estimated using watershed parameters determined by automated and manual methods.” J. Irrig. Drain Eng., 134(2), 202–211.
Federal Aviation Administration (FAA). (1970). “Advisory circular on airport drainage.” U.S. Dept. of Transportation, Washington, DC.
Giandotti, M. (1934). “Previsione delle piene e delle magre dei corsi d’acqua.” Ministero LL.PP., Memorie e studi idrografici, Vol. 8, Rep. No. 2, Servizio Idrografico Italiano, Rome (in Italian).
Green, J. I., and Nelson, E. J. (2002). “Calculation of time of concentration for hydrologic design and analysis using geographic information system vector objects.” J. Hydroinf., 4(2), 75–81.
Hathaway, G. A. (1945). “Design of drainage facilities.” Trans. Am. Soc. Civ. Eng., 110, 697–733.
Kerby, W. S. (1959). “Time of concentration for overland flow.” Civ. Eng., 26(3), 60.
Kibler, D. F., and Aron, G. (1983). “Evaluation of Tc methods for urban watersheds.” Proc., Conf. on Frontiers in Hydraulic Engineering, H. T. Shen, ed., ASCE, New York, 553–558.
Kirpich, Z. P. (1940). “Time of concentration of small agricultural watersheds.” Civil Eng., 10(6), 362–368.
Li, M. H., and Chibber, P. (2008). “Overland flow time of concentration on very flat terrains.” Transportation Research Record 2060, Transportation Research Board, Washington, DC, 133–140.
McCuen, R. H. (1998). Hydrologic analysis and design, Prentice Hall, Upper Saddle River, NJ.
McCuen, R. H., and Spiess, J. M. (1995). “Assessment of kinematic wave time of concentration.” J. Hydraul. Eng., 121(3), 256–266.
McCuen, R. H., Wong, S. L., and Rawls, W. J. (1984). “Estimating urban time of concentration.” J. Hydraul. Eng., 110(7), 887–904.
Natural Resource Conservation Service (NRCS). (1972). National engineering handbook, Section 4: Hydrology, U.S. Dept. of Agriculture, Washington, DC.
Natural Resource Conservation Service (NRCS). (1986). “Urban hydrology for small watersheds.” Tech. Release No. 20, Soil Conservation Service, U.S. Dept. of Agriculture, Washington, DC.
Pavlovic, S. B., and Moglen, G. E. (2008). “Discretization issues in travel time calculation.” J. Hydrol. Eng., 13(2), 71–79.
Sharifi, S. (2006). “Identifying the most accurate equations for estimating the time of concentration in suburban watersheds of Khorasan Province by means of geographic information systems.” M.Sc. thesis, Ferdowsi Univ. of Mashhad, Iran (in Persian).
Singh, V. P. (1988). Hydrologic systems: Rainfall-runoff modeling, Vol. 1, Prentice Hall, Englewood Cliffs, NJ.
U.S. Army Corps of Engineers (USACE). (2001). “HEC-HMS hydrologic modeling system. User’s manual Version 2.2.1.” 〈www.usace.army.mil〉.
Viessman, W., Jr., and Lewis, G. L. (2003). Introduction to hydrology, Pearson Education, New York.
Wong, T. S. W. (2005). “Assessment of time of concentration formulas for overland flow.” J. Irrig. Drain Eng., 131(4), 383–387.
Wong, T. S. W. (2009). “Evolution of kinematic wave time of concentration formulas for overland flow.” J. Hydrol. Eng., 14(7), 739–744.
Yen, B. C. (1982). “Some measures for evaluation and comparison of simulation models.” Urban stormwater hydraulics and hydrology, B. C., Yen, ed., Water Resources Publications, Littleton, CO.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 137 • Issue 11 • November 2011
Pages: 712 - 719
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Nov 3, 2010
Accepted: Apr 25, 2011
Published online: May 25, 2011
Published in print: Nov 1, 2011
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