• Proceedings of the Korea Water Resources Association Conference
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• 2011.05a
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• pp.296-296
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• 2011

유역의 폭 함수는 출구를 기준으로 동일한 거리에 위치한 link의 개수로 정의된다. 하천망을 구성하는 기본 성분 중의 하나인 link는 동일한 유역의 경우 유사한 평균길이와 직접배수면적을 갖는 것으로 알려져 있다. 이는 폭 함수가 흐름방향 축을 따라 정의되는 지점별 배수면적의 기여도와 동일함을 의미하는 것으로 유역의 형태학적 특성에 따라 조직되는 초기유량분포함수로 해석할 수 있다. 따라서 DEM을 기반으로 원점으로부터 동일한 거리에 위치한 pixel의 수를 계량할 경우 비교적 쉽게 유역의 폭 함수를 유도할 수 있게 된다. 또한 물 입자의 동적특성에 따라 폭 함수의 흐름방향 축을 시간 축으로 재조정할 경우 대상 유역에 대한 수문학적 응답함수로의 변환이 가능해 진다. 본 연구에서는 보청천 시험유역의 탄부수위표 지점을 출구로 하여 DEM으로부터 폭 함수를 작성하고 지면과 하천유속의 차에 따른 운동학적 확산효과만을 고려하여 재조정된 폭 함수를 다음 그림과 같이 유도하여 보았다. Figs 1, 2에서 주목되는 사항은 왜곡도의 반전으로 부왜도의 형태를 갖던 폭 함수가 정왜도의 형태를 갖는 수문학적 응답함수(순간단위도)로 변환되어 가는 과정을 시각적으로 확인할 수 있다. 이는 Mod-Clark 방법에 따른 준분포형 순간단위도의 유도과정과 유사한 것으로 이에 따라 선형저수지의 저류효과는 지면과 하천유속의 차에 따른 운동학적 확산효과와 동일한 거동을 보일 수 있음이 추론된다.

• 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.

• Journal of Korea Water Resources Association
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• v.48 no.2
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• pp.91-103
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• 2015

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.

• Journal of Korean Society for Geospatial Information Science
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• v.20 no.1
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• pp.13-20
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• 2012

In this study, the change pattern of hydrological response function as development has been observed. The target watershed was selected Tanbu sub-Basin in the Bocheong Basin. The applied channel networks are composed of 10 cases that are channel networks by strahler's ordering scheme and cases of all grids channel or the hillslope in basin. To each case of grid in basin, channel and hillslope drainage path lengths to outlet of basin are calculated, and hydrological response function was calculated by Nash Model. As results of this analysis, the peak discharge of hydrological response function is increased and peak time is shortened as development of channel networks. And based on statistical characteristics of hydrological response function, mean (lag time) and variance of travel time are reduced exponentially.

• Proceedings of the Korea Water Resources Association Conference
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• 2010.05a
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• pp.1174-1178
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• 2010

확산-유추를 기반으로 한 지형학적 순간단위도의 유역의 동역학적 매개변수인 특성유속과 확산계수를 실제수문사상과 수치지형도상의 실제 하천망(Blue line)을 이용해 전역최적화 기법인 Shuffled Complex Evolution(SCE-UA)을 적용하여 산정하여 이를 하천망의 해상도에 따른 유역의 수문응답의 특성을 살펴본 결과 동일한 산정된 유속조건하에서 하천망의 해상도가 커짐에 따라 첨두시간과 지체시간은 작아지는 반면 첨두유량은 커지는 현상을 보였으며, 순간단위도의 형상을 결정짓는 유하시간 분포의 분산은 동수역학적 분산에 비해 지형학적 분산에 지배적인 영향을 받음을 알 수 있었다.

• Journal of Korean Society for Geospatial Information Science
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• v.18 no.2
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• pp.69-78
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• 2010

The hydrological-geomorphic character is closely related with runoff in basin. A development of GIS greatly helps investigating about mechanism between theirs. We analyze local slope and hillslope length which are related with hydrological response. But variation of these geomorphic variables has very wide range at each pixel. So there's a limit as to use directly. Therefore we investigate a relation between hydrological response and distributed geomorphic variables according to statistical character of distributed map considering spatial correlation. As a result, the local slope affects peak discharge, and the hillslope length affects peak discharge and time, mean and variance of hydrological response. Henceforth these hydrological-geomorphic analyze methods can be improved that hydrology response is directly analogized with DEM data.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.10 no.1
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• pp.99-108
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• 1990

A Synthetic Unit Hydrograph Method was investigated for representation of the effective rainfall-direct runoff hydrograph by using a Geomorphologic Instantaneous Unit Hydrograpb(GIUH) proposed by Gupta et al(1980). The response function of the basin was assumed to be the two-parameter gamma probability density function. The physical parameters of the response function(Nash Model) was determined by using the regression eqs. were parameterized in terms of Horton order ratios and the relations between the basin lag time and time-scale parameter. The capability of the Synthetic Unit Hydrograph to the real basin was tested for the Pyungchang river basin and Wi Stream basin, and its capability to reproduce the hydrologic response was investigate and compared with the Moment Method and the Least Square Method used incomplete gamma function. The representation of the peak flow, the time to peak and the hydrographs the derived Synthetic Unit Hydrograph were tested on some obseved flood data and showed promising, and it was approved to be used for prediction of the ungaged basins.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.31 no.1B
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• pp.47-55
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• 2011

This study suggests new synthetic unit hydrograph method considering hydrodynamic characteristic on the basin. The suggested method based on width function GIUH, and the procedure is summarized as follows; 1) Draw up a travel distance distribution map (width function) which is raster of length between from center of individual cells to the outlet by GIS. 2) Calculation of travel time distribution map (rescaled width function) by hydrodynamic parameters and travel distance distribution map. 3) Derivation of IUH and Duration UH from rescaled width function. 4) Comparison of shape of UH between suggested method and existing synthetic unit hydrograph methods. The target basins are selected Ipyeong and Tanbu subwatershed in the Bocheong Basin. The target basins are similar scale (watershed area), but different drainage structure (drainage density et al.). Therefore we anticipate that there are different hydrologic response functions because different hydrodynamic characteristics. As a result of derivation of UH, existing synthetic unit hydrograph methods are similar shape of UHs about Ipyeong and Tanbu watersheds, but the suggested method is different shape of ones. As a result of application to observed data, the peak discharge by suggested method is similar to existing synthetic unit hydrograph methods, but the peak time is well correspondence between those. Henceforth, if the suggested method combines with the rational velocity estimation method, it is useful method for synthetic of UH in ungauged watershed.

• Water for future
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• v.18 no.2
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• pp.143-152
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• 1985

A method is suggested for the reappearance of a surface runoff hudorgraph of a river basin by linking the hydrologic response of a catchment represented by the instantaneous unit hydrograph(IUH) with the Horton's empirical gemorphologic laws. The geomorphologic theory of the IUH developed by G. Itrube et al. and the geomorphoclimatic theory of the IUH developed by Bras et al. are used to derive the new hydrologic response function in consideration of geomorphologic parameters and climatic characteristics by applying to Sukekawa's rainfall-runoff model. The derived response function was tested for on some observed hydrographs in a natural watershed and showed promising, and by considering a drainage basin as m(1∼4) identical linear reservoir in series, it was founded that the model(m=2) is most applicable to predict hydrologic response regardless of the size of basins. A modelization algorithm of a basin using Sthahler's ordering scheme of drainage network will give good result in analysis of the surface runoff huydrograph by the method of this study.

• Proceedings of the Korea Water Resources Association Conference
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• 2018.05a
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• pp.177-177
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• 2018

유역의 홍수량 산정하기 위해서 데이터기반 모형, 개념적 모형, 프로세스 기반 모형과 같은 다양한 개념의 수문학적 모형이 개발되고 적용성이 검토되고 있다. 물리기반 강우-유출관계 모형의 경우, 이론적으로 강우유출응답의 연속 모의에 적합하다고 알려져 있으나 모형 구성에 필요한 수문자료 확보의 한계성 때문에 실절적인 적용에 어려움이 있다. 또한 수문 자료가 충분하지 않거나, 없는 미계측 유역에서 홍수량을 산정하기 위해서는 기존의 수문 관측 시스템의 데이터를 이용하기 어렵기 때문에 레이더 및 위성 등을 이용한 다양한 기상수문데이터 도입이 필요하다. 이에 본 연구에서는 관측된 자료와 함께 모델기반 수문기상 시스템인 GLDAS(Global Land Data Assimilation System, GLDAS)의 자료를 이용하여 개념적 강우-유출관계 모형인 PMD(Probaility Distributed Model, PMD)을 통해 홍수량을 모의하는 방법을 적용하였다. 이를 위해 개념적 강우유출관계 모형을 구성하고, 공간적 토양저류(soil moisture storage)분포를 산정하기 위해 토양의 함수상태를 산출하였다. 이같은 접근법은 수문 자료의 제한, 모형 검정의 문제와 같은 어려움을 해결하기 위한 대안으로 제시할 수 있으며, 분석 결과로부터 모델기반 수문기상 자료와 개념적 강우-유출관계 모형의 활용가능성을 검증할 계획이다.