Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Estimation of Synthetic Unit Hydrograph Using Geospatial Shape Factors and Nash Model in Mid-size Watershed

중소규모유역의 지형공간적 형상계수를 이용한 Nash 모형기반의 합성단위도 산정

  • Kim, Jin Gyeom (Dept. of Civil and Environmental Engineering, Dankook Univ.) ;
  • Kim, Jong Min (Dept. of Civil and Environmental Engineering, Dankook Univ.) ;
  • Kang, Boo Sik (Dept. of Civil and Environmental Engineering, Dankook Univ.)
  • 김진겸 (단국대학교 공과대학 토목환경공학과) ;
  • 김종민 (단국대학교 공과대학 토목환경공학과) ;
  • 강부식 (단국대학교 공과대학 토목환경공학과)
  • Received : 2013.01.24
  • Accepted : 2013.03.05
  • Published : 2013.05.31
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Abstract

Improved methodology of Synthetic Unit Hydrograph (SUH) utilized generally in hydrologic design work was suggested. In this study, regression analysis between peak hydrological data and geospatial data was applied to estimate specific peak flow and peak time for determining shape of SUH. Regression formulas for specific peak flow with respect to shape factors show higher coefficient of determination (0.73~0.81) than the ones with geospatial components only (0.52~0.69). The areal limitation of unit hydrograph application is regarded as 500~700 $km^2$. The validation through rainfall-runoff simulation shows encouraging results that relative error is 1.7~29.0%(Avg. 11.6%) for the case of using SUH developed in this study and 35.0~ 64.9% (Avg. 46.7%) for the SUH in the previous study except for the extraordinary cases.

설계홍수량 산정 시 일반적으로 활용하는 합성단위도법에 대한 개선안을 제시하였다. 본 연구에서는 합성단위도의 형태를 결정짓는 첨두 비유량과 첨두시간의 결정을 위하여 첨두수문량과 유역의 지형공간적 형상계수간의 회귀분석을 시행한 결과, 유역의 단순 공간적 기하요소보다는 형상계수의 결정계수가 뚜렷이 높았으며, 유역의 지형특성영향을 독립적으로 검토할 경우 결정계수가 0.52~0.69에 그쳤으나, 지형특성이 조합된 형상계수를 이용하여 민감도분석을 해보면 결정계수가 0.73~0.81로 개선된 결과를 확인할 수 있었다. 일반적으로 단위도를 적용할 수 있는 적합한 유역의 면적은 대략 500~700 $km^2$이라 볼 때, 이러한 영역에서 유역유출모의를 통한 본 연구의 합성단위도를 검증한 결과, 특이값이 발생하는 유역을 제외하고 본 연구결과의 상대오차가 1.7~29.0%(평균 11.6%)의 수준을 보여주었다. 합성단위도법 적용에 관한 기존사례(KICT, 2000)는 상대오차가 35.0~64.9%(평균 46.7%)를 보여주어 본 연구의 제안식이 기존에 비하여 개선된 결과를 보여주고 있다.

Keywords

References

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