Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Geomorphological Approach to the Skewed Shape of Instantaneous Unit Hydrograph

순간단위도의 왜곡된 형상에 대한 지형학적 접근

  • 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)
  • 김주철 (충남대학교 국제수자원연구소) ;
  • 정관수 (충남대학교 토목공학과) ;
  • 정동국 (한남대학교 건설시스템공학과)
  • Received : 2014.10.27
  • Accepted : 2015.01.02
  • Published : 2015.02.28
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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.

본 연구에서는 순간단위도의 보편적 특성 중 하나인 왜곡된 형상에 대하여 체계적인 접근을 시도하여 보았다. 이를 위하여 순간단위도의 통계모멘트에 대한 해석적 관계식을 지형학적 순간단위도 이론을 기반으로 유도하고 유역의 동수역학적 이질성, 지형학적 이질성 및 운동학적 이질성의 개념에 따라 정량화하여 수문학적 응답 함수를 왜곡시키는 원인에 접근해 보고자 하였다. 지표면 배수경로와 하천 배수경로 사이에는 큰 규모의 차가 존재하지만 전자는 후자에 비하여 작은 규모임에도 불구하고 오히려 큰 변동계수를 가지며 왜곡계수 역시 다른 경향을 나타냄을 볼 수 있었다. 순간단위도의 형상은 동수역학적 이질성보다는 운동학적 이질성에 지배를 받으며 특히 지형학적 이질성과 결합하여 수문학적 응답함수에 왜도를 발생시키는 주요 원인이 될 수 있음을 알 수 있었다. 지표면과 하천의 배수경로들이 갖는 통계특성은 무차원 통계량의 형태로 수문학적 응답함수에 전달되어 지는데 이들 사이의 상대적 중요도에 따라 수문학적 응답함수의 전반적 형상이 결정되는 것으로 판단할 수 있었다.

Keywords

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