• Journal of Korea Water Resources Association
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• v.30 no.2
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• pp.97-106
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• 1997

Parameters of the Nash model were analyzed using similarity concepts for the hydrogeomorphologic and the time response characteristics, then the application of parameter estimation was performed for a basin where no data are available. The self-similarity was investigated to evaluate the similarity of hydrogeomorphologic characteristics and to derive a equation for the time of concentration. The relation between model parameters and time characteristics such as travel and lag time, were developed to obtain their properties of similarity. There were remarkable results about the assessment for basin similarity and the application to an ungaged basin in Wi stream basin.

• Proceedings of the Korea Water Resources Association Conference
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• 2015.05a
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• pp.454-454
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• 2015

본 연구에서는 댐 유역의 설계홍수량을 산정할 시 발생할 수 있는 대표 매개변수의 불확실성에 대하여 분석하였다. 설계홍수량 산정 방법으로는 국내에서 가장 일반적으로 활용되고 있는 강우-유출모형 중 Clark 단위도를 활용하여 확률강우량을 동일 빈도의 홍수량으로 변환하는 방식을 적용하였다. 대상 유역으로는 수문학적 안전성평가가 수행된 국내 댐 유역 중 비교적 실측 호우사상 자료 수가 많은 3개 유역을 선정하였다. 또한 단위도 매개변수 결정 시 자료의 부족으로 최적화 매개변수에 대한 신뢰도 문제가 발생할 수 있으므로 가용 자료수가 증가함에 따른 불확실성의 영향을 분석하기 위해 대상 유역 간의 시간응답 특성을 분석하였다. 이를 통해 상사성이 있는 것으로 판단되는 유역의 호우사상 매개변수를 통합하여 무차원화된 저류상수 $K_x$를 구하였다. 이 $K_x$값을 표준정규분포로 변환하고 Monte Carlo Simulation을 통해 난수를 발생시켜 100개의 무차원 저류상수 $K_x$를 산정하였다. 이 값을 사용하여 설계홍수량을 산정하기 위한 대표 매개변수의 불확실성 분석을 실시하였다. 그 결과 상사성이 있는 것으로 판별된 유역의 호우사상을 통합하는 경우 양질의 호우사상을 다수 확보하고 있는 유역이 추가되면 홍수량 산정결과가 개선되는 것으로 나타났다.

• Water for future
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• v.23 no.4
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• pp.421-434
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• 1990

The problems of hydrologic similarity among river basins was analyzed by a geomorphologic response model using Hortons*s ordering scheme. The Nash model was used for deriving the geomorphologic response function, and for the optimization of the responsefunction, imcomplete gamma function andRosso*s regression equation were used. The application of this method was tested on some observed flood data of Pyungchang river basin and Wi Stream basin and Bocheong stream, and predictions of hydrologic response were compared with that of the Moment method. The results show that the proposed model and dimensionless instantaneous unit hydrograph can be used for the runoff analysis of an ungauged basin and the analysis of hydrologic similarity.

• Proceedings of the Korea Water Resources Association Conference
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• 2012.05a
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• pp.463-463
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• 2012

본 연구에서는 유역의 공간적 자기상사성 평가를 통하여 하천유역의 특성을 파악하고자 하였다. 이를 위해 자기상사성 분석의 지표인 허스트지수 및 프랙탈차원을 산정하였다. 허스트지수(h)의 산정은 모형에 있어서 상당히 중요한 부분을 차지한다. 이 지수에 따라 지형의 모양은 서로 상이하게 다루어질 수 있기 때문이다. 허스트지수의 산정은 Hurst가 제시한 방법(허스트지수), Peters의 수정식, Mandebrot와 Wallis의 Pox 도표, 투영면적 및 표면적 비율 방법(면적지수)이 있으며, 본 연구에서는 유역의 공간 자기상성 분석을 위해 면적지수에 의한 방법과 허스트지수에 의한 방법을 적용하였다. 지형자료는 LiDAR 측량 및 하천 횡단측량에 의해 생성된 정밀 DEM을 활용하여 허스트지수 및 프랙탈차원을 산정하였다. 면적지수 및 허스트지수에 의한 프랙탈차원과 평균경사도와의 관계에서 아라천유역은 결정계수 R2값이 94.9 %, 99.5 %로 비교적 결정계수값이 크게 나타났으며, 경사도와 표면적과의 관계에서 결정계수 R2값은 81.8 %로 분석되었다. 이는 면적지수와 허스트지수에 의해 산정된 프랙탈 차원은 유역의 지형특성 인자로 타당성을 갖는 것으로 판단된다.

• Journal of Korea Water Resources Association
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• v.32 no.4
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• pp.427-435
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• 1999

The Clark unit hydrograph is a three parameter synthetic unit hydrograph procedure that can be used in flood hydrology. The present work is an attempt to estimate parameters of the Clark model in ungaged basin by means of relationships that provides for the hydrologic similarity. The time area concentration curve was determined by analytic method and the Clark model was generalized by being made dimensionless form. Calculation of the concentration time was made with the formula fractal concept used, and the storage coefficient was estimated by the empirical and regional equation. Evaluation on Dongok basin was performed to prove the validity of the proposed model. The derived hydrograph predicted the observed hydrograph fairly well.

• Journal of Korea Water Resources Association
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• v.36 no.3 s.134
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• pp.399-411
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• 2003

An approach determining a confidence interval of Nash's observed mean instantaneous unit hydrograph is developed. In the approach, both two parameters are treated as correlated gaussian random variables based on the theory of Box-Cox transformation and the regional similarity relation, so that linear statistical parameter estimation is possible. A parametric bootstrap method is adopted to give the confidence interval of the mean observed hydrograph. The proposed methodology is also applicable to estimate the parameters of Nash's model for un-gauged basins. An application to a watershed has shown that the proposed approach is adequate to assess the uncertainty of the Nash's hydrograph and to evaluate parameters for un-gauged basins.

• Journal of Korea Water Resources Association
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• v.42 no.9
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• pp.691-702
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• 2009

This study makes a systematic approach to Hack's law considering self-affinity and self-similarity of natural basins as well as the elongation of corresponding catchment-plan forms. Catchment-plan forms extracted from DEM appear to be the population come from the interactions of 2 hypotheses on Hack's law. It is judged that the elongation measures based on inertia moments are more intuitive than the ones based on main channel lengths. The exponent of Hack's law, h, seems to be similar to the result of Gray's study (1961). However Hurst exponent, H, being 0.96 imply that catchment-plan forms considered in this study have isotropic increasing properties with scale. From this point of view it is inferred that the shapes of the basins in this study would be more affected from self-similarity of main channel lengths than self-affinity of catchment-plan forms.

• Proceedings of the Korea Water Resources Association Conference
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• 2005.05b
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• pp.737-742
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• 2005

본 연구는 GIUH(Geomorphologic Instantaneous Unit Hydrograph) 매개변수와 유역의 지 형특성 인자인 유역면적, 유로연장, 유로경사의 상관성을 분석하여 유역면적과 유로연장의 GIUH 매개변수와의 상관식을 유도하였다. 그리고 대상유역의 Fractal분석도 실시하여 지형상사를 확인하였다. 상관식의 검증을 위해 설마천 유역을 선정하여 결과를 실측치를 계산치와 수정치로 비교하고 계산치와 수정치도 비교하였다. 본 연구의 결과로 산정된 상관식을 사용하여 임의의 미계측 유역의 GIUH매개변수를 산정할 경우 기존의 복잡하고 시간이 많이 소요되는 GIS작업의 번거로움을 최소화할 수 있을 것이다.

• Journal of Korea Water Resources Association
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• v.42 no.1
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• pp.75-92
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• 2009

The development of the method for flood runoff analysis representing Korean mountain basins have been one of big concerns for Korean hydrologists for several decades. Several traditional methods dealing with unit hydrograph have been restricted to be used in Korea basins, because of its drawbacks due to its originality from other countries and the uncertainties of control parameters as well as its linearity assumption between rainfall and runoff relationship. In this paper, several geomorphological similarity relationships for Korean mountain basins was developed by using the experimental data over 40 Korean basins. Then those were applied directly to geomorphological unit hydrograph theory to meet Korean geomorphological unit hydrograph. The developed method was applied to Andong Dam basin. The results show the applicability and simplicity of the developed Korean geomorphological unit hydrograph generally for Korean mountain basins in future. It might be needed for more validations and applications of this method over Korean regions.

• Journal of Korea Water Resources Association
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• v.36 no.2
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• pp.223-235
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• 2003

An indirect or supplementary approach is proposed for determining the parameters of the Clark's model in order to improve existing defect in estimating the parameters. The gamma-distribution type function is employed to represent the Clark's model, which takes the same form as the Nash's model, so that parameter estimation is not difficult since it can be performed with a simple optimization process. Analytic forms of Clark's models parameters are introduced using parameters of the proposed methodology to give traditional form of Clark's. An application to a watershed has shown that the proposed approach can preserve the properties of observed data. Based the application, the new approach is recommended as an alternative to the existing parameter estimating methodology.