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http://dx.doi.org/10.3741/JKWRA.2013.46.2.155

Theoretical Backgrounds of Basin Concentration Time and Storage Coefficient and Their Empirical Formula  

Lee, Jiho (School of Civil, Environmental and Architectural Engineering, College of Engineering, Korea University)
Yoo, Chulsang (School of Civil, Environmental and Architectural Engineering, College of Engineering, Korea University)
Sin, Jiye (School of Civil, Environmental and Architectural Engineering, College of Engineering, Korea University)
Publication Information
Journal of Korea Water Resources Association / v.46, no.2, 2013 , pp. 155-169 More about this Journal
Abstract
This study proposes proper forms of empirical formulas for the concentration time and storage coefficient based on their theoretical backgrounds and evaluates several existing empirical formulas by comparing them with the formula proposed in this study. Additionally, empirical formulas for the concentration time and storage coefficient of the Chungju Dam basin were derived using the forms proposed by considering their theoretical backgrounds, and compared with exiting empirical formulas. The results derived are summarized as follows. (1) The concentration time of a basin is proportional to the square of the main channel length, but inversely proportional to the channel slope, as the flood flow is generally turbulent. (2) The storage coefficient is proportional to the concentration time. (3) The comparison results with existing empirical formulas for the concentration time indicates that the empirical formulas like the Kirpich, Kraven (I), Kraven (II), California DoT, Kerby, SCS, and Morgali & Linsley are in line with the form proposed in this study. Among existing empirical formulas for the storage coefficient, the Clak, Russell, Sabol and Jung are found to be well matched to this study. (4) The application results to Chungju Dam basin indicates that among empirical formulas for the concentration time, the Jung, Yoon, Kraven (I), and Kraven (II) show relatively similar results to the observed in this study, but the Rziha shows abnormal results. Among the empirical formulas for the storage coefficient, the Yoon and Hong, Jung, Lee, and Yoon show somewhat reasonable results, but the Sabol shows abnormal results. In conclusion, the empirical formulas for the concentration time and storage coefficient developed in Korea are found to reflect the basin characteristics of Korea better.
Keywords
storage coefficient; concentration time; empirical formula;
Citations & Related Records
Times Cited By KSCI : 7  (Citation Analysis)
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1 Clark, C.O. (1945). "Storage and the uni hydrograph." Transactions of the American Society of Civil Engineers, Vol. 110, pp. 1419-1446.
2 Dooge, J.C.I., Strupczewski, W.G., and Napiorkowski, J. (1982). "Hydrodynamic derivation of storage parameters of muskingum model." Journal of Hydrology, Vol. 54, No. 4, pp. 371-387.   DOI   ScienceOn
3 Hack, J.T. (1957). Studied of lingitudinal profiles in virginia and maryland. USGS professinal Paper 294-B.
4 Jeong, J.H., and Yoon, Y.N. (2007). Design Practices in Water Resources, Kumi Press, Seoul, Korea.
5 Jeong, J.H., Kim, S.W., and Yoon, Y.N. (2006). "Development of an estimation mathod for storage coefficient." Proceedings of the Korea Water Resources Association Conference, KWRA, pp. 135-143.
6 Johnstone, D., and Cross, W.P. (1949). Elements of Applied Hydrology, Ronald Press, New York.
7 Jung, S.W. (2005). Development of empirical formulas for the parameter estimation of Clark's watershed flood routing model. Ph.D. dissertation, University of Korea, Seoul, Korea.
8 Kerby, W.S. (1959). "Time of concentration for overland flow." Civil Engineering, Vol. 29, No. 3, p. 60.
9 Kim, H.Y. (2011). Examination of runoff characteristics between sub-basin and entire basin's: focusing on the storage coefficient and concentration time. Master dissertation, University of Korea, Seoul, Korea.
10 Kirpich, P.Z. (1940). "Time of concentration of small agricultural watersheds." Civil Engineering, Vol. 10, No. 6. p. 362.
11 Laurenson, E.M. (1962). Hydrograph synthesis by runoff routing. Report No. 66. Univ. of New South Wales, Water Res. Lab.
12 Lee, J.H., and Yoo, C.S. (2011). "Decision of basin representative concentration time and storage coefficient Antecedent Moisture Conditions." Journal of Korean Society of Hazard Mitigation, Kosham, Vol. 11, No. 5, pp. 255-264.   과학기술학회마을   DOI   ScienceOn
13 Nash, J.E. (1958). "The form of the instantaneous unit hydrograph." International Association of Hydrological Sciences Publication, Vol. 45, No. 3, pp. 114-121.
14 Lee, J.S., Lee, J.J., and Son, K.I. (1997). "A comparative study of conceptual models for rainfall-runoff relationship in small to medium sized watershed-Application to Wi stream basin-." Journal of Korea Water Resources Association, KWRA, Vol. 30, No. 3, pp. 279-291.   과학기술학회마을
15 Linsley, R.K. (1945). "Discussion of storage and the unit hydrograph by C.O. Clark." Transactions of the American Society of Civil Engineers, Vol. 110, pp. 1452-145.
16 Morgali, J.R., and Linsley, R.K. (1965). "Computer analysis of overland flow" Journal of Hydraulics Division, Am. Soc. Civ. Eng., Vol. 91, No. HY3, pp. 81-100.
17 Rigon, R., Rodriguez-Iturbe, I., Maritan, A., Giacometti, A., Tarboton, D.G., and Rinaldo, A. (1996). "On Hack's law."Water Resources Research, Vol. 32, No. 11, pp. 3367-3374.   DOI   ScienceOn
18 Russel, S.O., Kenning, B.F.I., and Sunnell, G.J. (1979). "Estimating design flows for urban drainage." Journal of the Hydraulics Division, Vol. 105, No. 1, pp. 43-52.
19 Sabol, G.V. (1988). "Clark unit hydrograph and R-parameter estimation." Journal of Hydraulic Engineering, Vol. 114, No. 1, pp. 103-111.   DOI   ScienceOn
20 Singh, V.P. (1976). "Derivation of time of concentration." Journal of Hydrology, Vol. 30, pp. 147-165.   DOI   ScienceOn
21 Wong, T.S.W. (2002). "Generalized formula for time of travel in rectangular channel." Journal of hydrolorgic engineering, Vol. 7, No. 6, pp. 445-448.   DOI   ScienceOn
22 Yoo, D.H., and Lee, M.H. (2000). "Exponential friction factor equations of open channel flow." Journal of Korean Society of Civil Engineers, KSCE, Vol. 20, No. 1-B, pp. 1-10.   과학기술학회마을
23 Yoo, C.S. (2009). "A theoretical review of basin storage coefficient and concentration time using the Nash mode." Journal of Korea Water Resources Association, KWRA, Vol. 42, No. 3, pp. 235-246.   DOI   ScienceOn
24 Yoo, C.S., and Shin, J.W. (2010). "Decision of storage coefficient and concentration time of observed basin using Nash model's structure." Journal of Korea Water Resources Association, KWRA, Vol. 43, No. 6, pp. 559-569.   DOI   ScienceOn
25 Yoo, D.H., and Jun, W.Y. (2000). "Time of concentration on impervious overland." Journal of Korea Water Resources Association, KWRA, Vol. 33, No. 2, pp. 195-205.
26 Yoo, D.H., Kim, J.H., Lee, M.H., and Lee, S.H. (2011). "The time of concentration considering the rainfall intensity." Journal of Korea W\ater Resources Association, KWRA, Vol. 44, No. 7, pp. 591-599.   과학기술학회마을   DOI   ScienceOn
27 Yoon, S.Y., and Hong, I.P. (1995). "Improvement of the parameter estimating method for the Clark model." Journal of Korean Society of Civil Engineers, KSCE, Vol. 15, No. 5, pp. 1287-1300.
28 Yoon, T.H., and Park, J.W. (2002). "Improvement of the storage coefficient estimating method for the clark model." Proceedings of the Korea Water Resources Association Conference, KWRA, pp. 1334-1339.
29 Yoon, T.H., Kim, S.T., and Park, J.W. (2005). "On redefining of parameters of Clark model." Journal of Korean Society of Civil Engineers, KSCE, Vol. 25, No. 3B, pp. 181-187.   과학기술학회마을
30 Yoon, Y.N. (2007). Hydrology, Cheongmoongak Press, Seoul, Korea.