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The derivation of GIUH by means of the lag time of Nash model

Nash 모형의 지체시간을 이용한 GIUH 유도

  • Kim, Joo-Cheol (Industrial Technology Research Institute, Chungnam National Univ.) ;
  • Yoon, Yeo-Jin (Dept. of Civil System Engrg., Konyang Univ.) ;
  • Kim, Jae-Han (Dept. of Civil Engrg., Chungnam National Univ.)
  • 김주철 (충남대학교 산업기술연구소) ;
  • 윤여진 (건양대학교 토목시스템공학과) ;
  • 김재한 (충남대학교 토목공학과)
  • Published : 2005.10.01

Abstract

The lag time is one of the most important factors for estimating a flood runoff from streams. It is well known to be under the influence of the morphometric properties of basins which could be expressed by catchment shape descriptors. In this paper, the notion of the geometric characteristics of an equivalent ellipse proposed by Moussa(2003) is applied for calculating the lag time of geomorphological instantaneous unit hydrograph(GIUH) at the basin outlet. The lag time is obtained from the observed data of rainfall and runoff by using the method of moments suggested by Nash(1957), and the procedure based on geomorphology is used for GIUH. The relationships between the basin morphometric properties and the hydrological response are discussed as applied to 3 catchments In Korea. Additionally, the shapes of equivalent ellipse are examined how then are transformed from upstream area to downstream one. As a result, the relationship between the hydrological response and descriptors is shown to be comparatively good, and the shape of ellipse is presented to approach a circle along the river downwards. These results may be expanded to the estimation of hydrological response of ungauged catchment.

자연 하천으로부터 홍수유출을 추정할 경우, 반드시 고려해야 할 중요한 인자들 중의 하나는 지체시간이다. 지체 시간은 집수형상디스크립터로 표현될 수 있는 유역의 형태적 특성의 영향아래 있음이 잘 알려져 있다. 본 논문에서는 Moussa(2003)에 의하여 제안된 등가타원의 기하학적 특성에 대한 개념을 유역 출구에 대한 지형학적 순간단위도 (GIUH)의 지체시간 산정에 적용한다. 강우-유출 관측 자료에 대한 지체시간은 Nash(1957)가 제안한 적률법을 이용하여 산정하고, GIUH 유도에는 지형학에 기초한 절차가 적용된다. 국내 3개 유역에 대한 적용사례를 통하여, 유역의 형태적 특성과 수문학적 응답사이의 관계를 고찰한다. 또한 상류지역으로부터 하류지역까지 등가타원 형상의 변화양상이 시험된다. 그 결과, 수문학적 응답특성과 디스크립터 사이에는 비교적 우수한 관계가 존재함이 확인되었고 타원의 형상은 하류방향을 따라 원의 형태로 접근해 감을 확인할 수 있었다. 본 연구 결과는 미계측 유역으로 확대 적용이 가능할 것으로 판단된다.

Keywords

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