[논문]LAG TIME RELATIONS TO CATCHMENT SHAPE DESCRIPTORS AND HYDROLOGICAL RESPONSE

Kim, Joo-Cheol; Kim, Jae-Han

LAG TIME RELATIONS TO CATCHMENT SHAPE DESCRIPTORS AND HYDROLOGICAL RESPONSE 원문보기

Water engineering research : international journal of KWRA, v.6 no.2, 2005년, pp.91 - 99

Kim, Joo-Cheol (Hydrologic System Laboratory, Department of Civil Engineering, Chungnam National University) , Kim, Jae-Han (Department of Civil Engineering, Chungnam National University)

Abstract ▼ AI-Helper

One of the most important factors for estimating a flood runoff from streams is the lag time. It is well known that the lag time is affected by the morphometric properties of basin which can be expressed by catchment shape descriptors. In this paper, the notion of the geometric characteristics of an equivalent ellipse proposed by Moussa(2003) was applied for calculating the lag time of geomorphologic instantaneous unit hydrograph(GIUH) at a basin outlet. The lag time was obtained from the observed data of rainfall and runoff by using the method of moments and the procedure based on geomorphology was used for GIUH. The relationships between the basin morphometric properties and the hydrological response were discussed based on application to 3 catchments in Korea. Additionally, the shapes of equivalent ellipse were examined how they are transformed from upstream area to downstream one. As a result, the relationship between the lag time and descriptors was shown to be close, and the shape of ellipse was presented to approach a circle along the river downwards. These results may be expanded to the estimation of hydrological response of ungauged catchment.

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가설 설정

1)The center of the ellipse is the center of the basin.
2) The shape of ellipse tended to approach a circle along the river downwards.
2)The principal axes of the ellipse correspond to the principal axes of the basin.
3)The ellipse has the same area as the catchment area.
4)The ellipse has the same ratio of the minimal inertia moment to the maximal inertia moment as the catchment.

제안 방법

The main reason to do so is to attempt to search for the feasibility of practical use of them both in determining the representative GIUH velocity. Also, the lag times for the fittest velocity of GIUH are related to catchment shape descriptors to see whether they will give the better results or not by using the regression method.
In this study, the descriptor a-vb or Q + b + sOM is related to the lag times tL, separately, using the regression method to determine the representative lag time.
Chutha, and Dooge(1990) have chosen to reformulate the Rodriguez-Iturbe, and Wdes model on a deterministic basis and thus alleviated the difficulties for some hydrologists of a probabilistic treatment of catchment response to an individual rainstorm, and avoided the necessity of using the unfamiliar mathematics of Markov processes. Thet concluded that the shape of GIUH is closely approximated by Nash model of a cascade of equal linear reservoirs for their three assumptions about storage variations.

이론/모형

(1980) who considered all possible paths of streams over the whole catchment as stated above. The model was attempted to apply a third parameter, i.e., stream flow velocity(termed as GIUH velocity in this paper) in addition to two parameters of n and k adopted by Nash(1957) to gammatype GIUH model.

성능/효과

1) The relationship between the lag time and catchment shape descriptors was shown to be close and tested to be superior to the existing geomorphologic factors.

후속연구

4) The results obtained in this study may be expanded to the estimation of hydrological response of ungaged catchment.

참고문헌 (13)

Chutha, P., and Dooge, J. C. I., 1990. The shape parameters of the geomorphologic unit hydrograph. Journal of Hydrology, 117, pp. 81-97

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Gupta, V.K., Waymire, E., and Wang, C.T., 1980. A representation of an instantaneous unit hydrograph from geomorphology. Water Resources Research. 16(5), pp. 855-862

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Gupta, V.K., Rodriguez-Iturbe, I., and Wood, E.F., 1986. Scale problems in hydrology. D. Reidel Publishing company
Horton, R.E., 1945. Erosional development of streams and their drainage basins: hydrophysical approach to quantitative morphology. Bulletin of the Geological Society of America. 56, pp. 275-370

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Jin, C. X. (1992). 'A deterministic gamma type geomorphologic instantaneous unit hydrograph based on path types', Water Resources Research, 28(2), 479-486

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Klemes, V., 1983. Conceptualization and scale in hydrology. Journal of Hydrology, 65, pp. 1-23

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Moussa, R. (2003). 'On morphometric properties of basins, scale effects and hydrological response', Hydrological Processes, 17, 33-58

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Nash, J.E., 1957. The form of the instantaneous unit hydrograph. IASH Assemblee Generale de Toronto. (3), pp. 114-121
Rodriguez-Iturbe, I., and Valdes, J.B., 1979. The geomorphologic structure of hydrologic response. Water Resources Research. 15(6), pp. 1409-1420

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Rosso, R., 1984. Nash model relation of Horton order ratio. Water Resources Research. 20(7), pp.914-920
Shumm, S.A., 1956. Evolution of drainage systems and slopes in badlands at Perth Amboy, New Jersey. Bulletin of the Geological Society of America. 67, pp. 597-646

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Smart, J.S., 1968. Statistical properties of stream length. Water resources Resarch. 15(6), pp. 1409-1420
Stralhler, A.N., 1952. Hypsometric(area-altitude) analysis of erosional topography. Bulletin of the Geological Society of America. 63, pp. 1117-1142

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LAG TIME RELATIONS TO CATCHMENT SHAPE DESCRIPTORS AND HYDROLOGICAL RESPONSE 원문보기

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LAG TIME RELATIONS TO CATCHMENT SHAPE DESCRIPTORS AND HYDROLOGICAL RESPONSE 원문보기

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