Browse > Article
http://dx.doi.org/10.3741/JKWRA.2015.48.2.91

Geomorphological Approach to the Skewed Shape of Instantaneous Unit Hydrograph  

Kim, Joo-Cheol (International Water Resources Research Institute, Chungnam National University)
Jung, Kwansue (Department of Civil Engineering, Chungnam National University)
Jeong, Dong Kug (Department of Civil Engineering, Hannam University)
Publication Information
Journal of Korea Water Resources Association / v.48, no.2, 2015 , pp. 91-103 More about this Journal
Abstract
This paper presents the systematic approach to positively skewed shape of instantaneous unit hydrograph (IUH), that is one of the universal features of hydrologic response function. To this end an analytical expression of statistical moments for IUH is derived within the framework of geomorphologic instantaneous unit hydrograph (GIUH) theory and quantified according to the concept of hydrodynamic, geomorphologic and kinematic heterogeneity. There is a big scale difference between hillslope and channel flow path system. Although the former has the much smaller level of scale its variation coefficient tends to be higher and coefficient of skewness has the different trend than the latter. The shape of IUH is likely to be much more affected by kinematic heterogeneity rather than hydrodynamic heterogeneity and its combined effect with geomorphologic heterogeneity is the major cause of skewing hydrologic response function. Statistical features of hillslope and channel flow path can be transferred into hydrologic response function in the form of dimensionless statistics and their relative importance forms the general shape of hydrologic response function.
Keywords
IUH; hydrodynamic heterogeneity; geomorphologic heterogeneity; kinematic heterogeneity; flow path; coefficient of skewness;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Botter, G., and Rinaldo, A. (2003). "Scale effect on geomorphologic and kinematic dispersion."Water Resources Research, Vol. 39, No. 10, pp. SWC 6-1- SWC 6-10.
2 Choi, Y.J., Kim, J.C., and Jeong, D.K. (2010). "Development of Synthetic Unit Hydrograph for Estimation of Runoff in Ungauged Watershed." Journal of the Korean Society ofWater Quality, Vol. 26, No 3, pp. 532-539.
3 Clark, C.O. (1945). "Storage and the unit hydrograph." Transactions of the American Society of Civil Engineers, Vol. 110, No. 1, pp. 1419-1446.
4 Di Lazzaro, M. (2009). "Regional analysis of storm hydrographs in the rescaled width function framework." Journal of Hydrology, Vol. 378, pp. 352-365.
5 D'odorico, P., and Rigon, R. (2003). "Hillslope and channel contributions to the hydrologic response." Water Resources Research, Vol. 39, No. 5, pp. SWC 1-1-SWC 1-9.
6 Dooge, J.C. (1959). "A general theory of the unit hydrograph." Journal of Geophysical Research, Vol. 64, No. 2, pp. 241-256.   DOI
7 Gandolfi, C., Bischetti, G.B., and Whelan, M.J. (1999). "A simple triangular approximation of the area function for the calculation of network hydrological response." Hydrological Processes, Vol. 13, No. 17, pp. 2639-2653.   DOI
8 Gupta, V.K., Waymire, E., and Wang, C.T. (1980). "A representation of an instantaneous unit hydrograph from geomorphology." Water Resources Research, Vol. 16, No. 5, pp. 855-862.   DOI
9 Henderson, F.M. (1966). Open channel flow, Macmillan, New York.
10 Horton, R.E. (1945). "Erosional development of streams and their drainage basins; hydrophysical approach to quantitative morphology." Geological Society of America Bulletin, Vol. 56, No. 3, pp. 275-370.   DOI
11 Kim, J.C., Choi, Y.J., and Jeong, D.K. (2011). "Suggestion of Synthetic Unit Hydrograph Method considering Hydrodynamic Characteristic on the Basin." Journal of the Korean Society of Civil Engineers, Vol. 31, No. 1B, pp. 47-55.   과학기술학회마을
12 Kirshen, D.M., and Bras, R.L. (1983). "The linear channel and its effect on the geomorphologic IUH." Journal of Hydrology, Vol. 65, No. 1, pp. 175-208.   DOI
13 Lee, K.T., and Chang, C.H. (2005). "Incorporating subsurface-flow mechanism into geomorphology- based IUH modeling." Journal of Hydrology, Vol. 311, No. 1, pp. 91-105.   DOI
14 Mehlhorn, J., Armbruster, F., Uhlenbrook, S., and Leibundgut, C. (1998). "Determination of the geomorphological instantaneous unit hydrograph using tracer experiments in a head water basin." IAHS Publications-Series of Proceedings and Reports-Intern Assoc Hydrological Sciences, Vol. 248, pp. 327-336.
15 Mesa, O.J., and Mifflin, E R. (1986). "On the relative role of hillslope and network geometry in hydrologic response." Scale Problems in Hydrology, Vol. 6, pp. 1-17.   DOI
16 Rodrigueze-Iturbe, I., and Valdes, J.B. (1979). "The geomorphologic structure of hydrologic response." Water Resources Research, Vol. 15, No. 6, pp. 1409- 1420.   DOI
17 Nash, J.E. (1957). "The form of the instantaneous unit hydrograph." IAHS Assemblee Generale de Toronto, Vol. 3, pp. 114-121.
18 Rinaldo, A., Rigon, R., and Marani, M. (1991). "Geomorphological dispersion." Water Resources Research, Vol. 27, No. 4, pp. 513-525.   DOI
19 Rinaldo, A., Vogel, G.K., Rigon, R., and Rodriguez-Iturbe, I. (1995). "Can one gauge the shape of a basin?." Water Resources Research, Vol. 31, No. 4, pp. 1119-1127.   DOI
20 Rosso, R. (1984). "Nash model relation to Horton order ratios." Water Resources Research, Vol. 20, No. 7, pp. 914-920.   DOI
21 Saco, P.M., and Kumar, P. (2004). "Kinematic dispersion effects of hillslope velocities." Water Resources Research, Vol. 40, No. 1, pp. 1-12.
22 Sherman, L.K. (1932) "The relation of hydrographs of runoff to size and character of drainage-basins." Transactions, American Geophysical Union, Vol. 13, pp. 332-339.   DOI
23 Snell, J., Sivapalan, M., and Bates, B. (2004). "Nonlinear kinematic dispersion in channel network response and scale effects: application of the meta-channel concept." Advances in Water Resources, Vol. 27, No. 2, pp. 141-154.   DOI
24 Snyder, F.F. (1939). "A conception of runoff-phenomena." Transactions, American Geophysical Union, Vol. 20, pp. 725-738.   DOI
25 Van der Tak, L.D., and Bras, R.L. (1990). "Incorporating hillslope effects into the geomorphologic instantaneous unit hydrograph." Water Resources Research, Vol. 26, No. 10, pp. 2393-2400.   DOI