• Title/Summary/Keyword: unit hydrograph

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Hydrologic Re-Analysis of Muskingum Channel Routing Method: A Linear Combination of Linear Reservoir and Linear Channel Models (Muskingum 하도추적방법의 수문학적 재해석: 선형저수지모형과 선형하천모형의 선형결합)

  • Yoo, Chul-Sang;Kim, Ha-Young
    • Journal of Korea Water Resources Association
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    • v.43 no.12
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    • pp.1051-1061
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    • 2010
  • This study hydrologically re-analysed the Muskingum channel routing method to represent it as a linear combination of the linear channel model considering only the translation and the linear reservoir model considering only the storage effect. The resulting model becomes a kind of instantaneous unit hydrograph, whose parameters are identical to those of the Muskingum model. That is, the outflow occurs after the routing interval ${\Delta}t$ or concentration time $T_c$, and among the total amount of inflow, the x portion is translated by the linear channel model and the remaining (1-x) portion is routed by the linear reservoir model with the storage coefficient ��$K_c$. The application result of both the Muskingum channel routing method and its corresponding instantaneous unit hydrograph to an imaginary channel showed that these two models are basically identical. This result was also assured by the application to the channel flood routing to the Kumnam and Gongju Station for the discharge from the Daechung Dam.

A Generalized Model on the Estimation of the Long - term Run - off Volume - with Special Reference to small and Medium Sized Catchment Areas- (장기만연속수수량추정모형의 실용화 연구 -우리나라 중소유역을 대상으로-)

  • 임병현
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.32 no.4
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    • pp.27-43
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    • 1990
  • This study aimed at developing a generalized model on the estimation of the long - term run - off volume for practical purpose. During the research period of last 3 years( 1986-1988), 3 types of estimation model on the long - term run - off volume(Effective rainfall model, unit hydrograph model and barne's model for dry season) had been developed by the author. In this study, through regressional analysis between determinant factors (bi of effective rainfall model, ai of unit hydrograph model and Wi of barne's model) and catchment characteris- tics(catchment area, distance round the catchment area, massing degree coefficient, river - exte- nsion, river - slope, river - density, infiltration of Watershed) of 11 test case areas by multiple regressional method, a new methodology on the derivation of determinant factors from catchment characteristics in the watershed areas having no hydrological station was developed. Therefore, in the resulting step, estimation equations on run - off volume for practical purpose of which input facor is only rainfall were developed. In the next stage, the derived equations were applied on the Kang - and Namgye - river catchment areas for checking of their goodness. The test results were as follows ; 1. In Kang - river area, average relative estimation errors of 72 hydrographs and of continuous daily run - off volume for 245 days( 1/5/1982 - 31/12) were calculated as 6.09%, 9.58% respectively. 2. In Namgye - river area, average relative estimation errors of 65 hydrographs and of conti- nuous daily run - off volume for 2fl days(5/4/1980-31/12) were 5.68%, 10.5% respectively. In both cases, relative estimation error was averaged as 7.96%, and so, the methodology in this study might be hetter organized than Kaziyama's formula when comparing with the relative error of the latter, 24~54%. However, two case studies cannot be the base materials enough for the full generalization of the model. So, in the future studies, many test case studies of this model should he carries out in the various catchment areas for making its generalization.

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Derivation and Comparison of Nash and Diskin Models for IUH (Nash 모형과 Diskin 모형을 이용한 순간단위도의 유도 및 비교 연구)

  • Park, Jin-Uk;Yu, Cheol-Sang;Kim, Jung-Hun
    • Journal of Korea Water Resources Association
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    • v.33 no.1
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    • pp.123-132
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    • 2000
  • In the study the instantaneous unit hydrographs (IUHs) based on the linear Nash (1957) and the nonlinear Diskin (1964) models are derived and compared for the Soyang river basin. Total 14 rainfall runoff events are used for the study and the model parameters are estimated by minimizing the sum of square error considering runoff hydrograph ordinates as relative weights. The representative IUHs for both models are decided to show an average shape of derived IUHs. In the application of the representative IUHs of Nash and Diskin, Diskin model shows better performances in reproducing the observed outflows, especially the peak flow. In the comparison of two Diskin models little difference could be found between the IUHs with the same or different number of two characteristic reservoirs.rvoirs.

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Assessment of Flood Probability Based on Temporal Distribution of Forecasted-Rainfall in Cheongmicheon Watershed (예보강우의 시간분포에 따른 청미천 유역의 홍수 확률 평가)

  • Lee, Hyunji;Jun, Sang Min;Hwang, Soon Ho;Choi, Soon-Kun;Park, Jihoon;Kang, Moon Seong
    • Journal of The Korean Society of Agricultural Engineers
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    • v.62 no.1
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    • pp.17-27
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    • 2020
  • The objective of this study was to assess the flood probability based on temporal distribution of forecasted-rainfall in Cheongmicheon watershed. In this study, 6-hr rainfalls were disaggregated into hourly rainfall using the Multiplicative Random Cascade (MRC) model, which is a stochastic rainfall time disaggregation model and it was repeated 100 times to make 100 rainfalls for each storm event. The watershed runoff was estimated using the Clark unit hydrograph method with disaggregated rainfall and watershed characteristics. Using the peak discharges of the simulated hydrographs, the probability distribution was determined and parameters were estimated. Using the parameters, the probability density function is shown and the flood probability is calculated by comparing with the design flood of Cheongmicheon watershed. The flood probability results differed for various values of rainfall and rainfall duration. In addition, the flood probability calculated in this study was compared with the actual flood damage in Cheongmicheon watershed (R2 = 0.7). Further, this study results could be used for flood forecasting.

The Estimation of Areal Reduction Factor(ARF) in Han-Rwer Basin (한강유역의 면적감소계수 산정)

  • Jeong, Jong-Ho;Na, Chang-Jin;Yun, Yong-Nam
    • Journal of Korea Water Resources Association
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    • v.35 no.2
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    • pp.173-186
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    • 2002
  • Rainfall-runoff model is usually used in estimating the design flood, and the most important elements in this model are probable rainfall and unit hydrograph. So, it is the most important step to estimate probable rainfall reasonably and exactly. If a basin area exceeds a certain scale, probable areal rainfall should be used as probable rainfall, but, Probable point- mean rainfall be usually used in Korea. Consequently, probable rainfall is used too high and unit hydrograph is used relatively too low. Thus the improvement is unavoidable. So, in this study, the parameters are proposed that transform the 1day, 2day rainfall to 24hr, 48hr rainfall, and areal rainfall data series are composed by using the same time rainfall data. Also, the areal reduction factor(ARF) is developed as the increase of area by the calculated probable point mean rainfall and probable areal rainfall by frequency analysis in Han-River basin. It can be the measure to easily transform probable point- mean rainfall to probable areal rainfall.

Estimation of Threshold Runoff for Flash Flood Prediction (돌발홍수 예측을 위한 한계유량 산정)

  • Kim, Dong-Phil;Kim, Joo-Hun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.319-319
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    • 2012
  • 최근 GIS의 발달로 지리정보를 정확하게 분석한 후 각종 수리 해석에 활발히 적용되고 있다. 수문지형학(Hydrogeomorphology)은 Rodriguez-Iturbe(1971)가 유역의 지형학적 인자를 기초로 하여 순간단위도를 유도하는 방법을 제시하는 것을 시작으로 Rodriguez-Iturbe와 Gonzalez-Sanabria(1982)가 지형학적 순간단위유량도(GIUH, Geomorphologic Instantaneous Unit Hydrograph) 매개변수와 유효우량만으로 함수를 표시하는 지형기후학적 순간단위유량도(GcIUH, Geomorphoclimatic Instantaneous Unit Hydrograph)를 유도하여 오늘날까지 발전해 오고 있다. GIS를 활용한 돌발홍수 및 지형학적 지형 기후학적 순간단위도 유도 및 한계유출량에 관한 연구에서 Sweeney(1992)는 돌발홍수능의 표준적인 산정 알고리즘을 제시하였고, Carpenter 등(1999)은 GIS와 연계하여 돌발홍수능을 산정하는데 중요한 한계유출량 산정방법에 관해 연구하였으며, 국내에서는 김운태 등(2002)은 GIS를 이용한 미소유역 규모의 한계유출량 산정 시스템을 개발한 바 있으며, 황보종구(2007)는 국내 유역에 적합한 GcIUH 산정방안에 관한 연구를 수행한 바 있다. 본 연구에서는 한국건설기술연구원에서 1995년부터 운영해 온 설마천 유역에 대하여 GIS 기법을 활용하여 강우-유출 해석시 GcIUH의 매개변수를 산정하여 유역에 적합한 돌발홍수 기준우량을 산정하는 것을 목적으로 하였다. GIS 기법의 적용결과를 통해 산정된 설마천 유역의 지형학적 특성은 <표 1>과 다음과 같다. 한편, 돌발홍수의 개념에서 한계유출량( )은 소하천의 제방을 월류하기 시작하여 홍수를 일으키기 시작할 때의 유효우량으로 정의되며, 유역전반에 걸쳐 균등하게 내리는 단위유효우량으로 인해 발생하는 직접유출 수문곡선이므로 제방이 가득 찬 상태의 유량 즉, 제방이 월류하기 시작할 때의 유량은 등류상태의 흐름을 해석하는 Manning의 공식으로부터 산정할 수 있으며(Chow et al., 1988), 설마천 유역의 경우 50년 빈도 홍수량에 해당하는 수위와 한계유량을 산정하였다. 향후 2011년 홍수 분석을 통해 한계유량 및 기준우량의 적합성을 평가하고 이를 바탕으로 설마천 유역의 돌발홍수예측을 위한 기준우량의 산정 등을 통해 산지 특성을 고려한 돌발홍수예측시스템 프로토타입을 개발하고자 한다.

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Real-Time Flash Flood Evaluation by GIS Module at Mountainous Area (산악에서 돌발홍수예측을 위한 지리정보시스템의 적용)

  • Nam, Kwang-Woo;Choi, Hyun
    • Korean Journal of Remote Sensing
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    • v.21 no.4
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    • pp.317-327
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    • 2005
  • The flood is the most general and frequently occurs among natural disasters. Generally flood by the rainfall which extends superexcellently for the occurrence but flash flood from severe rain storm gets up an absurd drowsiness at grade hour. This paper aims to 1 hour real-time flash flood and predict possibility at the area where is the possible flood will occur from the rainfall hour mountain after acquiring data in GIS(Geographic Information System) base by GcIUH(Geomorphoclimatic Instantaneous Unit Hydrograph). The flash flood occurrence is set up at 0.5m, 0.7m and 1.0m in standard depth. And this study suggests standard flood alarm which designed by probable flood according to duration time. The research result shows real-time flash flood evaluation has the suitable standard in the basin when comparing with the existing official warning announcement system considering topographical information.

A Study on the Development and Application of Rainfall-Runoff Prediction Method Using Dynamic Wave-Based Instantaneous Unit Hydrograph (동역학파 기반 순간단위도를 이용한 강우-유출 예측기법의 개발 및 적용에 관한 연구)

  • Jeong, Minyeob;Kim, Dae-Hong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.98-98
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    • 2021
  • 동역학파 기반 순간단위도 (Dynamic wave-based Instantaneous Unit Hydrograph)를 이용하여 유역에서의 강우에 의한 유출을 예측하는 기법을 개발하였으며, 국내 실제 자연 유역에 적용하여 기법의 타당성과 적용성을 검증하였다. 본 연구에서 제시한 '동역학파 기반 순간단위도 방법'은 물리기반 수치모형인 동역학파 강우유출모형과 개념적 순간단위도 방법을 결합하여 사용함으로써 물리적으로 정확하면서도 빠르고 안정적으로 강우-유출을 예측하는 것을 목적으로 한다. 유역의 순간단위도는 유역의 지형, 조도계수와 동역학파 강우유출모형인 tRIBS-OFM을 이용하여 계산된 S-수문곡선을 수치적으로 미분함으로써 유도되며, 유도된 순간단위도는 강우강도에 따라 변화하므로 회선적분을 통한 유출수문곡선 예측 시 강우-유출 관계의 비선형성을 고려할 수 있다. 본 연구에서 유도된 순간단위도의 첨두 값과 첨두 발생시간은 강우강도 값과 각각 양과 음의 상관관계를 가졌으며 강우강도 값과 멱 함수 (power function)의 관계를 가졌다. 이는 Paik and Kumar (2004) 등 기존 연구들에서 밝힌 순간단위도의 특성과 일치하였으며, 본 연구에서는 더 나아가 멱함수의 지수를 산정한 후 임의의 강우강도 값에 대응하는 순간단위도를 멱함수 관계를 이용하여 보간할 수 있는 방법을 제시하였다. 실제 유역에 대한 적용은 강원도 인제군에 위치한 내린천 유역을 대상으로 수행하였다. 유역을 여러 개의 소유역으로 분할하여 강우의 공간적 분포를 고려하였으며, 각 소유역에서의 유출량을 동역학파 기반 순간단위도를 이용해 계산한 뒤 물리기반의 하도추적모형을 이용하여 전체 유역에서의 유출수문곡선을 예측했다. 예측된 유출수문곡선을 관측 유출 자료와 비교해본 결과 NSE (Nash-Sutcliffe model efficiency coefficient)가 0.6 이상으로 측정되어 적절히 유출을 예측한 것으로 판단되었다.

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The Analysis of Geomorphologic Instantaneous Unit Hydrougraph by the Channel Network (하도망의 기하학적 특성을 이용한 지형학적 순간단위도 해석)

  • 조홍제;이상배
    • Water for future
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    • v.23 no.1
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    • pp.89-98
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    • 1990
  • This study is developed the runoff analysis method that is used the geomorphologic instantaneous unit hydrograph to the relative role of network geometry in a basin. The quantitative expressions for the geomorphologic characteristics of a basin are used Shreve's link sepration and width function method. The network geometry are used Weibull's distribution as probability model of the width function, the structural characteristics of channel networks and the other geomorphologic parameters for the gaged basin.

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Evaluation of the Clark Unit Hydrograph Parameters Depending on Basin and Meteorological Condition: 2. Estimation of Parameter Variability (유역 및 기상상태를 고려한 Clark 단위도의 매개변수 평가: 2. 매개변수의 변동성 추정)

  • Yoo, Chul-Sang;Lee, Ji-Ho;Kim, Kee-Wook
    • Journal of Korea Water Resources Association
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    • v.40 no.2 s.175
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    • pp.171-182
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    • 2007
  • In this study, as a method for decreasing the confidence interval of the estimates of Clark hydrograph's concentration time and storage coefficient, regression equations of these parameters with respect to those of rainfall, meteorology, and basin characteristics are derived and analyzed using the Monte Carlo simulation technique. The results are also reviewed by comparing them with those derived by applying the Bootstrap technique and empirical equations. Results derived from this research are summarized as follows. (1) Even in case of limited rainfall events are available, it is possible to estimate the mean runoff characteristics by considering the affecting factors to runoff characteristics. (2) It is also possible to use the Monte Carlo simulation technique for estimating and evaluating the confidence intervals for concentration time and storage coefficient. The confidence intervals estimated in this study were found much narrower than those of Yoo et al. (2006). (3) A supporting result could also be derived using the Bootstrap technique. However, at least 20 independent rainfall events are necessary to get a rather significant result for concentration time and storage coefficient. (4) No empirical equations are found to be properly applicable for the study basin. However, empirical equations like the Kraven(I) and Kraven(II) are found valid for the estimation of concentration time, on the other hand the Linsley is found valid for the storage coefficient In this study basin. But users of these empirical formula should be careful as these also provide a wide range of possible values.