한국수자원학회논문집 (Journal of Korea Water Resources Association)

  • 제49권6호
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  • Pages.495-507
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  • 2016
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  • 2799-8746(pISSN)
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  • 2799-8754(eISSN)
한국수자원학회 (Korea Water Resources Association)
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멱함수 법칙분포를 기반으로 한 유역의 배수구조에 대한 해석

Analysis of drainage structure for river basin on the basis of power law distribution

  • 김주철 (충남대학교 국제수자원연구소) ;
  • 강희승 (충남대학교 국제수자원연구소) ;
  • 정관수 (충남대학교 토목공학과)
  • Kim, Joo-Cheol (International Water Resources Research Institute, Chungnam National University) ;
  • Kang, Heeseung (International Water Resources Research Institute, Chungnam National University) ;
  • Jung, Kwansue (Dept. of Civil Engineering, Chungnam National University)
  • 투고 : 2016.01.22
  • 심사 : 2016.03.23
  • 발행 : 2016.06.30
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초록

본 연구의 주목적은 유역의 유출응집구조를 분석하고 이를 기반으로 멱함수 법칙분포의 대표적 특성인 보편성을 수문학적 관점에서 입증해 보고자 하는 것이다. 이를 위하여 최우법에 따라 집수면적의 누가분포에 대한 멱함수 법칙분포의 적합을 수행하였으며 이로부터 도출된 멱함수 법칙분포의 지수를 집수평면의 형상을 기반으로 평가하여 보았다. 주요한 결과로서 본 연구의 대상 유역들은 집수평면의 규모에 대하여 거의 모두 동일한 형태의 분포를 취하고 있음을 확인할 수 있었다. 본 연구에서 얻은 멱함수 법칙분포의 지수는 선행연구에서 제시된 값에 비하여 다소 큰 수치로 나타났는데 이는 본 연구의 대상유역들이 가진 자기상사성의 특징을 반영하는 것으로 판단된다. 향후 DEM을 기반으로 보다 더 실제에 가까운 흐름방향모의를 통한 집수평면의 멱함수 법칙분포의 보편성에 대한 연구가 반드시 수행되어야 할 것이다.

This study aims at hydrologically demonstrating the universality of power law distribution by analyzing runoff aggregation structures of river basins. Power law distribution is fitted to cumulative drainage area of basins of interest by maximum likelihood, which results in the power law exponents. And then those exponents are assessed in terms of the shape of catchment plan-form. As a main result all of the basins in this study have similar distributions of catchment area. The exponents from this study tend to be higher than the ones from previous researches reflecting self-similar property of the catchment plan-forms of interest. Further study is required about the universality of power law distribution by means of the more realistic flow routing scheme within the framework of DEM.

키워드

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  2. Analysis of Runoff Aggregation Structures with Different Flow Direction Methods under the Framework of Power Law Distribution vol.32, pp.14, 2018, https://doi.org/10.1007/s11269-018-2074-6