Hydrologic Response Analysis Considering the Scale Problem : Part 1. Derivation of the Model

규모문제를 고려한 수문응답의 해석 : 1. 모형이론의 유도

  • 성기원 (한국건설기술연구원 수자원연구실) ;
  • 선우중호 (서울대학교 공과대학 토목공학과)
  • Published : 1995.08.01

Abstract

The objective of this study is to explore scale problem and to analyze the relations between scale and geomorphologic parameters of the rainfall-runoff model. Generally, measurement and calculation of geomorphologic parameters rely on and are sensitive to the resolution of source information available. Therefore, rainfall-runoff models using geomorphologic parameters should take account of the effects of the map scale used in their development. The derived rainfall-runoff model considering scale problem in this research is the GIUH type model, that is a basin IUH consisting of the channel network response and hillslope response. The cannel network response is computed by means of the diffusion analogy transformed from linearized St. Venant equation and hillslope response is calculated by 2-parameter gamma distribution function. Representing geomorphologic structure of the channel network and initial distribution of its response is width function. This width function is derived by fractal theory and Melton's law to consider scale problems and is weighted by the source location function (SLF) proposed in this research to increase the applicability.

강우-유출모형의 유도와 적용에 고려되야할 규모문제를 검토하여 모형의 지형매개변수와 해상도간의 관계를 분석하고자 한다. 일반적으로 지형인자들의 측정과 계산은 주어진 정보의 해상도에 의존하며 또한 민감하다. 따라서 지형인자를 적용하는 강우-유출 모형은 분석에 이용한 해상도의 영향을 반영할 수 있어야 한다. 본 연구에서 유도된 강우-유출모형은 규모문제가 고려될 수 있는 GIUH 모형으로 이 모형은 유역의 수문응답을 하도망응답과 사면응답으로 분리하여 모의한다. 하도망응답의 계산은 선형화된 St. Venant 식으로부터 유도한 확산근사법을 이용하였고 사면응답은 2모수 gamma 분포식을 사용하였다. 하도망의 지형적 특성과 응답의 초기분포는 폭함수에 의하여 나타내어진다. 본 연구에서는 규모문제를 고려하여 Fractal 이론 및 Melton의 지형법식을 이용하여 폭함수를 유도한국였고 이를 유원위치함수를 이용하여 가중치를 부가하였다.

Keywords

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