• Title/Summary/Keyword: 저류함수식

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Comparative Analysis of Parameter Estimation Methods for the Storage Function Model (저류함수모형의 매개변수 산정방법들에 대한 비교 분석)

  • Song JaeHyun;Kim HungSoo;Hong IlPyo;Kim SangUg
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.731-736
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    • 2005
  • 현재 국내 주요 하천의 홍수예경보시스템 운영과 다목적댐의 홍수조절관리를 위하여 수문학적 모형의 하나인 저류함수모형(Storage Function Model)을 사용하고 있다. 저류함수모형은 산지가 많은 유역에 적합하도록 개발된 모형으로, 계산절차가 간편하고 홍수유출의 비선형성을 고려할 수 있는 방법이므로 선형모형보다 합리적이라고 알려져 있다. 그러나 저류함수모형을 실제 홍수유출현상에 적용하는데 있어 매개변수를 결정하는 것이 매우 어렵다. 현재 매개변수들을 결정할 수 있는 객관적이고 합리적인 방법이 제시되어 있지 않기 때문에 모형의 매개변수를 결정할 때 경험식을 이용하거나 수문기술자의 판단에 의한 보정에 의존하고 있다. 따라서, 본 논문에서는 홍수통제소에서 사용하고 있는 저류함수 모형의 대표(평균) 매개변수와 경험식, 시행착오법(trial & error method) 및 최적화기법(optimization technique) 중에 Rosenbrock 방법을 이용하여 매개변수를 산정하고 이들을 비교 분석하고자 한다.

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Development of Empirical Formulas for Storage Function Method (저류함수법의 매개변수 산정식 개발)

  • Choi, Jong-Nam;Ahn, Won-Shik;Kim, Tae-Gyun;Chung, Gun-Hui
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.5
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    • pp.125-130
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    • 2009
  • Storage function method which considers the non-linearity of the relationship between rainfall and runoff has been frequently used to predict runoff in a basin and a flood pattern. However, it is time-consuming to estimate appropriate parameters of every basin and rainfall event, which requires the empirical parameter equation applicable in Korea. In this study, multiple regression analysis is used to develop empirical equations to estimate parameters of Storage Function method using basin characteristics. The basin area, maximum stream length, and stream slope are considered as the basin characteristics as the result of the regression analysis. Collinearity is removed and trial-and-error method is used to choose the most descriptive parameters to the dependent variables in Han River basin which is divided into 30 subbasins. The developed equations are validated using the rainfall events in MunMak gauging station and named as 'Han River equation'. The equation could provide the useful information about Storage Function method parameter to calculate runoff from a basin and predict river stage.

A Study on Parameter Computation of Storage Function Model for the Han River Basin (한강유역에 대한 저류함수모형의 매개변수 산정에 관한 연구)

  • Jeon Yong Woon;Jeong Dong Kug;Lee Bae Sung;Jeon Kyong Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.725-730
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    • 2005
  • 본 연구에서는 저류함수모형을 이용하여 홍수유출분석을 좀더 정확하게 모의하기 위해 선행되어야 하는 유역에 대한 매개변수를 산정하였다. 매개변수를 산정함에 앞서 민감도분석을 실시하고, 연구 대상유역인 한강유역에 대하여 유역별 지형인자를 새로이 추출하였다. 저류함수모형의 중요 매개변수인 유출상수는 홍수직전유출고와의 관계를 이용하여 추정하였으며, 저류상수는 유역별 호우사상에 따른 최적의 저류상수식을 도출함으로써 호우의 특성 및 유역에 대한 물리적인 특성을 반영한 매개변수를 산정하였다. 재산정된 매개변수의 개선효과를 살펴보기 위해 KOWACO 모형과 한강홍수통제소 모형의 기존 매개변수를 이용한 모형 수행결과를 비교분석하였다. 분석결과 기존의 매개변수를 이용할 경우 한강홍수통제소 모형보다는 KOWACO 모형이 우수하며, 개선된 매개변수를 이용할 경우 관측 유출수문곡선에 좀더 근사한 모의결과를 나타내었다.

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Evaluation of Parameter Characteristics of the Storage Function Model Using the Kinematic Wave Model (운동파모형을 이용한 저류함수법 매개변수의 특성 평가)

  • Choi, Jong-Nam;Ahn, Won-Shik;Kim, Hung-Soo;Park, Min-Kyu
    • Journal of the Korean Society of Hazard Mitigation
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    • v.10 no.4
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    • pp.95-104
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    • 2010
  • The storage function model is one of the most commonly used models for flood forecasting and warning system in Korea. This paper studies the physical significance of the storage function model by comparing it with kinematic wave model. The results showed universal applicability of the storage function model to Korean basins. Through a comparison of the basic equations for the models, the storage function model parameters, K, P and $T_l$, are shown to be related with the kinematic wave model parameters, k and p. The analysis showed that P and p are identical and K and $T_l$ can be related to k, basin area, and coefficients of Hack's law. To apply the storage function model throughout the southern part of Korean peninsular, regional parameter relationships for K and $T_l$ were developed for watershed area using data from 17 watersheds and 101 flood events. These relationships combine the kinematic wave parameters with topographic information using Hack's Law.

Application of Storage Function Method with SCS Method (SCS 초과우량산정방법을 이용한 저류함수법 적용)

  • Kim, Tae-Gyun;Yoon, Kang-Hoon
    • Journal of Korea Water Resources Association
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    • v.40 no.7
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    • pp.523-532
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    • 2007
  • It has been operated since 1974, recently, the flood forecasting and warning system is applied in almost all the rivers in Korea, and the Storage Function Method (SFM) is used for flood routing. The SFM which was presented by Toshimitsu Kimura (1961) routes floods in channels and basins with the storage function as the basic equation. A watershed is divided into two zone, runoff and percolation area and runoff from runoff area is occurred when cumulated rainfall is not exceed saturation point, but exceed runoff is occurred from percolation area, too. Runoff area is given and not changed, runoff ratio is constant. In routing Process, runoff from runoff and percolation area is routed seperately with nonlinear conceptual reservoir having the same characteristics and it is unreasonable assumption. A modified SFM is proposed with storage function and continuity equation which has no assumption for routing process and effective rainfall is calculated by SCS Method. For Wi-stream, comparison of Kimura and the modified SFM is conducted, and it could be seen that the modified SFM is more improvable and applicable method easily by reducing the parameters.

A Study on Flood Routing Model for the control of Reservoir Release in Nakdong River Dams (낙동강수계 댐방류량 조절을 위한 하도추적모형 연구)

  • 박영기;신용노
    • Proceedings of the Korea Water Resources Association Conference
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    • 1998.05a
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    • pp.62-67
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    • 1998
  • 낙동강 수계 다목적댐 하류 지역에 대한 홍수조절 의사결정 능력을 향상시키고자 강우- 유출 모형으로 선정된 저류함수법으로 낙동강 수계 다목적댐 하류부의 유역유출 체계를 먼저 구 성하였다. 저류함수법에 의한 낙동강 수계 유역유출 체계도는 유역의 물리적 특성을 감안하여 소 유역은 41개, 하동망은 28개로 구성하였다. 또한 수문학적 하도추적 기법이 갖는 결점을 보완하기 위하여 낙동강 본류 및 상류에 댐이 있는 금호강, 황강, 남강, 밀양강 등 1 지류 이상의 홍수추적 을 수리학적 모형으로 보완하여 유역유출 체계를 이원화하여 두시스템을 상호·연계할 수 있도록 하였다. 상기 두 시스템을 '93년 8월 홍수(8, 7~8, 15)에 시험 적용하였다. 모형수행 경과 홍수기 댐운영시 저류함수모형에 의한 강우 유출 모형과 수리학적 하도추적 모형을 통합한 시스템을 동시에 적용하여 상호 보완 과정을 통해 운영한다면 다목적댐의 홍수조절 의사결정능력을 향상시킬 수 있다고 판단된다. 본 연구에서는 사용자가 해석적 방법으로 유역에서 수문자료를 이용하여 매개변수를 대화식으로 산정할 수 있는 GUI 시스템을 EXCEL97 환경에서 개발하여 신뢰성 있는 Rating curve가 확보 상·하류에 위치한 12개 수위관측소에서 89개 홍수사상을 대상으로 유역의 매개변수를 산정하였다. 또한, 미계측 유역의 저류함수 관련 매개변수 확장을 위하여 12개 소유역 에 대한 매개변수의 평균값과 유역면적, 하도연장 및 경사, 유역의 사면경사 등의 지형인자들을 조합하여 지역화분석을 수행하여 미계측 유역의 매개변수 산정식으로 제안하였다. 본 회귀식으로 산정된 소유역별 매개변수를 '93년 8월 홍수(8, 7~8, 15)에 적용한 결과, 낙동강 수계 본류상 주요 수위관측소별 홍수량예측이 이근천공식 보다 양호한 결과를 주어 본 연구에서 제시한 유역의 매 개변수 회귀식은 미계측 유역의 매개변수 산정시 충분한 활용성을 입증하였다. 저류함수법에 의 한 낙동강 수계 다목적댐 하류부의 유역유출 체계도는 수리학적 하도추적 모형과의 연계와 유역 의 물리적 특성을 감안하여 현재의 홍수통제소에서 운영하는 홍수예경보 시스템의 유출체계도와 우리공사 물관리 상황실의 저수관리 모형의 유출체계도를 기준으로 재구성하여 다목적댐 하류부의 소유역은 41개, 하도망은 28개로 결정하였다.

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Application of two-term storage function method converted from kinematic wave method (운동파법의 변환에 의한 2항 저류함수법의 적용)

  • Kim, Chang Wan;Chegal, Sun Dong
    • Journal of Korea Water Resources Association
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    • v.52 no.12
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    • pp.1057-1066
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    • 2019
  • The storage function method is used as a flood prediction model for four flood control offices in Korea as a method to analyze the actual rainfall-runoff relationship with non-linearity. It is essential to accurately estimate the parameters of the storage function method for accurate runoff analysis. However, the parameters of the storage function method currently in use are estimated by the empirical formula developed by the limited hydrological analysis in 2012; therefore, they are somewhat inaccurate. The kinematic wave method is a method based on physical variables of watershed and channel and is widely used for rainfall-runoff analysis. By adopting the two-term storage function method by the conversion of the kinematic wave method, parameters can be estimated based on physical variables, which can increase the accuracy of runoff calculation. In this research, the reproducibility of the kinematic wave method by the two-term storage function method was investigated. It is very easy to estimate the parameters because equivalent roughness, which is an important physical variable in watershed runoff, can be easily obtained by using land use and land cover, and the physical variable of channel runoff can be easily obtained from the basic river planning report or topographic map. In addition, this research examined the applicability of the two-term storage function method to runoff simulation of Naechon Stream, a tributary of the Hongcheon River in the Han River basin. As a result, it is considered that more accurate runoff calculation results could be obtained than the existing one-term storage function method. It is expected that the utilization of the storage function method can be increased because the parameters can be easily estimated using physical variables even in unmeasured watersheds and channels.

Application of Storage Function Method with SCS Method (SCS 초과우량산정방법을 이용한 저류함수법 적용)

  • Kim, Tae-Gyun;Yoon, Kang-Hoon
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.449-453
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    • 2007
  • Has been being operated since 1974, recently, the flood forecasting and warning system is applied in almost all the rivers in Korea, and the Storage Function Method(SFM) is used for flood routing. The SFM which was presented by Toshimitsu Kimura(1961) routes floods in channels and basins with the storage function as the basic equation. A watershed is devided into two zone, runoff and percolation area and Runoff is occured when cumulated rainfall is not exceed saturation rainfall, but exceed, runoff is occured from percolation area, too. Runoff area is given and not changed, runoff ratio is constant. In routing process, runoff from runoff and percolation area is routed seperately with nonlinear cenceptual reservior having same characteristics and it is unreasonable assumption. Modified SFM is proposed with storage function and continuity Equation which has no assumption for routing process and effective rainfall is calculated by SCS Method. For Wi Stream, comparision of Kimura and Modified SFM is conducted and It could be seen that Modified SFM is more improvemental and easily applicable method.

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Parameter Estimation of the Storage Function Model: 1. Development of the Universal Model for the Parameter Estimation (저류함수법의 매개변수 추정: 1. 범용모형 개발)

  • Choi, Jong-Nam;Ahn, Won-Shik; Kim, Hung-Soo;Park, Min-Kyu
    • Journal of the Korean Society of Hazard Mitigation
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    • v.10 no.6
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    • pp.119-130
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    • 2010
  • The universal model for the parameter estimation of the Storage Function Model(SFM) was developed through the applications of the distributed model for various hypothetical watersheds and runoff conditions. The existing parameter estimation equations are based on observations and these equations which are derived from the restricted conditions are not sensitive to the variation of physical characteristics of a watershed. This study developed the universal model for the parameter estimation through the runoff simulations of 35,000 times. As the simulation results, we have known that the lag time is related to the longest stream channel characteristics and the storage coefficient is related to the watershed characteristics.

Integrated Storage Function Model with Fuzzy Control for Flood Forecasting (I) - Theory and Proposal of Model - (홍수예보를 위한 통합저류함수모형의 퍼지제어 (I) - 이론 및 모형의 수립 -)

  • Lee, Jeong-Gyu;Kim, Han-Seop
    • Journal of Korea Water Resources Association
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    • v.33 no.6
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    • pp.689-699
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    • 2000
  • This paper presents the integrated storage function model (ISFM) to improve the accuracy of the storage function model (SFM) which is widely employed for flood runoff analysis and its forecasting in Korea. In order to achieve this objective, the optimization method is applied for estimation of parameters of the model which dominate the accuracy of the analysis, which is usually taken by empirical formulae, and they are treated as time dependent variables. The fuzzy control technique is used to detennine the time variant parameters. In addition, the ISFM can be applied to the combined routing of the watershed and the channel with a residual watershed.ershed.

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