• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2010년도 학술발표회
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• pp.346-349
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• 2010

In this study several unit hydrographs by rainfall storms are derived and moving averaged unit hydrograph is extracted from them based on the rainfall-runoff data in a small basin 8.5 $km^2$ wide. And peak discharges and peak times of the unit hydrographs are investigated and reviewed. And then a representative unit hydrograph of the moving averaged one is applied to the linear convolution integration for obtaining the flood discharge hydrograph and peak discharge and time of its result are researched and inspected. Variance in application of the representative unit hydrograph in a basin on assumption of linearity is appeared and this is given as a counterevidence about that the runoff response from rainfall on a basin has nonlinear characteristics. And As a result of application of derived representative unit hydrograph the errors in peak discharge and time are investigated.

• 물과 미래
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• 제25권1호
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• pp.93-100
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• 1992

Abstract A study on the Derivation of the Unit Hydrograph using Multiple Regression Moe이. The purpose of this study is to deriver an optimal unit hydrograph suing the multiple regression model, particularly when only small amount of data is available. The presence of multicollinearity among the input data can cause serious oscillations in the derivation of the unit hydrograph. In this case, the oscillations in the unit hydrograph ordinate are eliminated by combining the data. The data used in this study are based upon the collection and arrangement of rainfall-runoff data(1977-1989) at the Soyang-river Dam site. When the matrix X is the rainfall series, the condition number and the reciprocal of the minimum eigenvalue of XTX are calculated by the Jacobi an method, and are compared with the oscillation in the unit hydrograph. The optimal unit hydrograph is derived by combining the numerous rainfall-runoff data. The conclusions are as follows; 1)The oscillations in the derived unit hydrograph are reduced by combining the data from each flood event. 2) The reciprocals of the minimum eigen\value of XTX, 1/k and the condition number CN are increased when the oscillations are active in the derived unit hydrograph. 3)The parameter estimates are validated by extending the model to the Soyang river Dam site with elimination of the autocorrelation in the disturbances. Finally, this paper illustrates the application of the multiple regression model to drive an optimal unit hydrograph dealing with the multicollinearity and the autocorrelation which cause some problems.

• 한국수자원학회논문집
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• 제44권1호
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• pp.41-49
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• 2011

본 연구는 한 유역 내에서 단위유량도의 첨두치가 강우 강도에 따라 변동되는 기존 연구 분석 사례를 근간으로 하여 고찰된다. 시간불변이라는 이론적 기본 가정과 달리 호우별 강우강도에 따라 시변(時變)하는 단위유량도를 설정하고 강우사상에 적용하여 유출수문곡선을 산출하여 검토한다. 이 때 적용되는 단위유량도의 경우 첨두유량과 첨두발생시간은 기왕 연구된 강우강도와의 관계식을 검토하여 이용하고 단위유량도 형상은 산출된 첨두치를 적용한 Nash의 단위유량도로 설정된다. 비교 목적을 위해서 적용하는 유역 평균 단위유량도는 강우사상별로 유도된 26개의 단위유량도의 평균 첨두치에 의한 Nash의 모형이다. 호우사상의 강우강도별로 변동되는 단위유량도와 평균단위유량도로부터 산출된 수문곡선의 첨두유량과 첨두발생시간을 관측수문곡선과 비교한다. 비교한 결과 본 연구에서 보완적으로 제시한 시변(時變)의 단위유량도는 평균 단위유량도에 의해서 계산한 첨두홍수량과 첨두발생시간 보다 관측치에 접근함을 보인다.

• 한국수자원학회논문집
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• 제41권6호
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• pp.559-564
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• 2008

본 연구에서는 복합 강우사상으로부터 단위도와 S-곡선을 도출하는 실용적인 방법을 강구하였다. 이 연구에서 이용된 단위핵함수는 단위도와 S-곡선을 유도하는데 있어서 기존의 방법보다 편리하다. 그러나 실제 자료를 분석할 때 단위핵함수는 진동을 보이고 불안정하기 때문에 단위도와 S-곡선 도출에 있어서 장애가 있다. 그런데 단위핵함수의 요소인 Nash 의 순간단위도를 추정함에 있어서 Laplacian 행렬을 이용한 능형회귀분석을 이용하면 사상에 대한 평균적인 단위핵함수를 구하는데 유익함을 발견하였다. 또한 이를 이용하여 단위도의 지속기간 변경도 가능하였다. 이 연구에서 제시된 방법론은 단위도 제작에 적지 않은 도움이 될 것으로 기대한다.

• 물과 미래
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• 제9권2호
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• pp.76-86
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• 1976

The 30-year design flood hydrograph for the Musim Representative Basin, one of the study basins of the International Hydrological Program, is synthesized by the method of unit hydrograph. The theory of unit hydrograph has been well known for a long time. However, the synthesis of flood hydrograph by this method for a basin with insufficient hydrologic data is not an easy task and hence, assumptions and engineering judgement must be exercized. In this paper, the problems often encountered in applying the unit hydrograph method are exposed and solved in detail based on the theory and rational judgement. The probability rainfall for Cheonju Station is transposed to the Musim Basin since it has not been analyzed due to short period of rainfall record. The duration of design rainfall was estimated based on the time of concentration for the watershed. The effective rainfall was determined from the design rainfall using the SCS method which is commonly used for a small basin. The spatial distribution of significant storms was expressed as a dimensionless rainfall mass curve and hence, it was possible to determine the hyetograph of effective design storm. To synthesize the direct runoff hydrograph the 15-min. unit hydrograph was derived by the S-Curve method from the 1-hr unit hydrograph which was obtained from the observed rainfall and runoff data, and then it was applied to the design hyetograph. The exsisting maximum groundwater depletion curve was derived by the base flow seperation. Hence, the design flood hydrograph was obtained by superimposing the groundwater depletion curve to the computed direct runoff hydrograph resulting from the design storm.

• 한국환경과학회지
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• 제24권4호
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• pp.393-401
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• 2015

Rainfall-runoff model of Jeju Oedo Stream was used to compute the optimal unit hydrograph by HEC-HMS model that reflecting on watershed characteristics. Each rainfall event was comparatively analyzed with the actual flow measurement using Clark, Snyder and SCS synthetic methods for derived unit hydrograph. Subsequently, the null hypothesis was established as p-value for peak flow and peak time of each unit hydrograph by one-way ANOVA(Analysis of variance) was larger than significance level of 0.05. There was no significant difference in peak flow and peak time between different methods of unit hydrograph. As a result of comparing error rate with actual flow measurement data, Clark synthetic unit graph best reflected in Oedo Stream as compared to other methods, and error rate of Clark unit hydrograph was 0.02~1.93% and error rate at peak time was 0~2.74%.

• 물과 미래
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• 제19권2호
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• pp.157-166
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• 1986

미측측 소하천 유역에 적용할만한 합성단위도를 찾아내기 위하여 대표유역의 관측자료로부터 각 소하천의 실측단위도를 유도하였다. 소하천 유역의 특성인자와 단위도의 특성치를 분석하여 Snyder, S.C.S, Nash, Clark에서 이용되는 식을 유도하였다. 이들 식을 이용하여 대표유역의 유역특성치로서 각 방법에 의한 합성단위도를 유도하고 이들 합성단위도와 실측단위도를 비교 분석한 결과 다음과 같은 특성을 발견하였다. Snyder 방법에 의한 첨두유량과 근사하였으나 첨두유량의 25,50,75%되는 단위도의 좌표만으로는 단위도의 형을 결정하기엔 미흡함이 남아있다. Clark 방법에 의하여 합성단위도를 정확하게 유도하기 위하여 그 유역의 시간-면적도의 기저장과 등유달시간면적을 정확하게 구할 수 있는 방법이 모색되어야 한다고 생각한다. Nash 방법에 의한 합성단위도의 첨두유량과 기저시간은 저장상수와 Gamma 함수인자만의 함수이기 때문에 정확한 저장상수와 Gamma 함수인자의 결정이 선행되어야만 신빙성있고 정도가 높은 단위도 유도가 가능하리라 판단된다. S.C.S 방법에서 첨두유량은 유역면적에 비례하고 첨두유량 발성시간에 반비례하기 때문에 첨두유량 발생이 빠른 소유역에서는 다소 큰 첨두유량 값을 갖음을 알았다.

• 한국농공학회지
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• 제23권3호
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• pp.78-87
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• 1981

This study was attempted to get dimensionless unit hydrograph by linear model which can be used to the estimation of flood for the development of Agricultural water resources and laid emphasis on the application of dimensionless unit hydrographs for the ungaged watersheds by applying linear model. The results summarized through this study are as follows. 1.Peak discharge is found to be Qp= CAR (C =0. 895A-o.145) having high significance between peak discharge, Qp and effective rainfall, R within the range of small watershed area, 84 to 470km2. consequently, linearity was acknowledged between rainfall and runoff. Reasonability is confirmed for the derivation of dimensionless unit hydrograph by linear model. 2.Through mathematical analysis, formula for the derivation of dimensionless unit hydrograph was derived. qp--p=(tp--t)n-1[e-(n-1)](tp--t-1) 3.Moment method was used for the evaluation of storage constant, K and shape parameter, n for the derivation of dimensionless unit hydrograph. Storage constant, K is more closely related with the such watershed characteristics as length of main stream and slopes. On the other hand, the shape parameter, n was derived with such watershed characteristics as watershed area, river length, centroid distance of the basin and slopes. 4.Time to peak discharge, Tp could be expressed as Tp=1. 25 (√s/L)0.76 having a high significance. 5.Dimensionless unit hydrographs by linear model stood more closely to the observe dimensionless unit hydrographs On the contrary, dimensionless unit hydrographs by S.C. S. method has much difference in comparison with linear model at the falling limb of hydrographs. 6.Relative errors in the q/qp at the point of 0.8 and 1.2 for the dimensionles ratio by linear model and S. C. S. method showed to be 2.41, 1.57 and 4.0, 3.19 percent respectively to the q/qp of observed dimensionless unit hydrographs. 7.Derivation of dimensionless unit hydrograph by linear model can be accomplished by linking the two empirical formulars for storage constant, K, and shape parameter, n with derivation formular for dimensionless unit hydrograph for the ungaged small watersheds.

• 한국수자원학회논문집
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• 제34권6호
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• pp.627-640
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• 2001

일반적으로 합성단위도법은 강우-유출기록이 없는 유역의 설계홍수량 산정을 위해 제안되었다. 그러나 국내에서는 아직까지 자료의 부족 등으로 외국에서 개발된 각종 유출모의 모형이 주로 이용되고 있다. 따라서 그 동안 축적된 국내의 강우-유출 자료를 이용하여 국내의 수문특성엥 적합한 유출모형의 개발이 절실한 상황이다. 이를 위해 본 연구에서는 설마천 유역의 2개 지점과 IHP 대표유역인 평강창, 보청천, 위천의 17개 지점에 대해 그 동안 축 (중략) 특성 관련 연구결과를 종합하여 새로운 합성단위도법을 개발하였다. 개발된 합성단위도는 유역특성인자와 단위도치식 치(첨두시간, 첨두유량)와의 다중회귀분석을 통해 유역면적-유로연장-유로경사의 3가지 변수로 구성되는 효 (중략) 전국을 있었다. 따라서 우리나라에서는 아직까지 수계별로 합성단위도를 분리하여 제시하기는 무리라고 보여지 (중략)

• 물과 미래
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• 제8권1호
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• pp.61-79
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• 1975

본연구는 1974년 건설부 수자원국의 연구사업중의 하나인 $\ulcorner$홍수량 추정을 위한 합성단위유량도유도의 연구$\Ircorner$의 일부로서 건설부에서 제공한 재정적 후원에 감사를 드린다.