• Proceedings of the Korea Water Resources Association Conference
• /
• 2016.05a
• /
• pp.550-550
• /
• 2016

본 연구에서는 Clark 모형을 기반으로 한 홍수유출 앙상블 멤버 생성기법을 개발하였다. Clark 모형의 매개변수인 집중시간과 저류상수는 불확실성을 가진다. 본 연구에서는 집중시간과 저류상수가 가지고 있는 불확실성을 해결하기 위하여 적절한 확률분포를 선정하였다. 집중시간에 적절한 확률분포는 집중시간이 가지고 있는 특성과 확률분포가 가지고 있는 특성을 비교 및 분석하여 선정하였다. 선정된 확률분포는 감마분포와 대수정규분포이다. 저류상수에 적절한 확률분포는 저류 상수와 집중시간의 관계를 분석하여 선정하였다. 선정된 확률분포는 집중시간에서 선정한 확률분포와 동일하다. 본 연구에서는 이지호 등(2013)의 연구에서 집중시간과 저류상수 사이에 뚜렷한 관계를 확인하고 이에 적합한 이변량 확률분포를 선정하였다. 선정된 이변량 확률분포는 이변량 감마분포와 이변량 대수정규분포이다. 이변량 감마분포는 집중시간과 저류상수에 적용 가능한 Smith, Adelfang and Tubb's(SAT) 이변량 감마분포를 선정하였다. SAT 이변량 감마분포와 이변량 대수정규분포의 적합도 검정방법은 K-S 검정을 이용하였다. 본 연구에서는 SAT 이변량 감마분포와 이변량 대수정규분포로 Random Number Generation 실시하였다. 생성된 집중시간과 저류상수의 앙상블 멤버는 Clark 모형을 이용하여 홍수유출 앙상블 멤버를 생성한다. 제안된 홍수유출 앙상블 멤버 생성기법은 방림 유역을 대상 검토하였다.

• KSCE Journal of Civil and Environmental Engineering Research
• /
• v.36 no.3
• /
• pp.439-449
• /
• 2016

The methodology of synthetic unit hydrograph using geomorphic characteristics was suggested. Six geomorphic components over 19 watersheds were used to estimate synthetic unit hydrograph and the test watersheds were classified into two groups on the basis of the area of $200km^2$. The regression formulas between standardized geomorphic characteristics for each group and peak quantities of specific streamflow and time of representative unit hydrograph were suggested and the Nash and the Clark unit hydrographs were derived. For verifying the derived unit hydrographs, the resulting hydrographs were compared with the ones using the existing Clark unit hydrographs based on the empirical parameter estimation for the 145 storm events during 2010 to 2011 for the additional six watersheds. The results showed the relatively higher performance over the existing synthetic unit hydrograph methods, which could be a contribution to the hydrologic estimation in ungauged watersheds.

• KSCE Journal of Civil and Environmental Engineering Research
• /
• v.33 no.6
• /
• pp.2255-2265
• /
• 2013

This study presents the width function-based Clark model. To this end, rescaled width function with distinction between hillslope and channel velocity is used as time-area curve and then it is routed through linear storage within the framework of not finite difference scheme used in original Clark model but analytical expression of linear storage routing. There are three parameters focused in this study: storage coefficient, hillslope velocity and channel velocity. SCE-UA, one of the popular global optimization methods, is applied to estimate them. The shapes of resulting IUHs from this study are evaluated in terms of the three statistical moments of hydrologic response functions: mean, variance and the third moment about the center of IUH. The correlation coefficients to the three statistical moments simulated in this study against these of observed hydrographs were estimated at 0.995 for the mean, 0.993 for the variance and 0.983 for the third moment about the center of IUH. The shape of resulting IUHs from this study give rise to satisfactory simulation results in terms of the mean and variance. But the third moment about the center of IUH tend to be overestimated. Clark model proposed in this study is superior to the one only taking into account mean and variance of IUH with respect to skewness, peak discharge and peak time of runoff hydrograph. From this result it is confirmed that the method suggested in this study is useful tool to reflect the heterogeneity of drainage path and hydrodynamic parameters. The variation of statistical moments of IUH are mainly influenced by storage coefficient and in turn the effect of channel velocity is greater than the one of hillslope velocity. Therefore storage coefficient and channel velocity are the crucial factors in shaping the form of IUH and should be considered carefully to apply Clark model proposed in this study.

• Proceedings of the Korea Water Resources Association Conference
• /
• 1994.02a
• /
• pp.293-300
• /
• 1994

• Journal of Environmental Science International
• /
• v.24 no.4
• /
• pp.393-401
• /
• 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%.

• Journal of Environmental Science International
• /
• v.15 no.4
• /
• pp.365-372
• /
• 2006

In this study investigated that topographical parametersestimate and calculated travel time, storage coefficient and lag time by watershed dividing 11, 8, 6 and 2. The results showed the more divide watershed, the more increase peak discharges. The results showed that Kraven-Clark-Kraven case is good simulated by compared observed data with calculated data. The sub-basin number are adequate $6{\sim}11$ for wichun and travel times compare observed data with calculated data at the younggok, to take about $18{\sim}20hr$ by simulated results but observed data shorter $8{\sim}10hr$. From this study results showed that it could be make narrow parameter estimate for observed hydrograph simulation, if more observed velocity and hydrograph. Also, as results of this study that is help to estimate parameters (arrival time, storage coefficient and lag time for Clark model.

• Journal of Korea Water Resources Association
• /
• v.46 no.6
• /
• pp.597-611
• /
• 2013

This paper presents the methodology for construction of time-area curve via the width function and thereby rational estimation of time of concentration and storage coefficient of Clark model within the framework of method of moments. To this end time-area curve is built by rescaling the grid-based width function under the assumption of pure translation and then the analytical expressions for two parameters of Clark model are proposed in terms of method of moments. The methodology in this study based on the analytical expressions mentioned before is compared with both (1) the traditional optimization method of Clark model provided by HEC-1 in which the symmetric time-area curve is used and the difference between observed and simulated hydrographs is minimized (2) and the same optimization method but replacing time-area curve with rescaled width function in respect of peak discharge and time to peak of simulated direct runoff hydrographs and their efficiency coefficient relative to the observed ones. The following points are worth of emphasizing: (1) The optimization method by HEC-1 with rescaled width function among others results in the parameters well reflecting the observed runoff hydrograph with respect to peak discharge coordinates and coefficient of efficiency; (2) For the better application of Clark model it is recommended to use the time-area curve capable of accounting for irregular drainage structure of a river basin such as rescaled width function instead of symmetric time-area curve by HEC-1; (3) Moment-based methodology with rescaled width function developed in this study also gives rise to satisfactory simulation results in terms of peak discharge coordinates and coefficient of efficiency. Especially the mean velocities estimated from this method, characterizing the translation effect of time-area curve, are well consistent with the field surveying results for the points of interest in this study; (4) It is confirmed that the moment-based methodology could be an effective tool for quantitative assessment of translation and storage effects of natural river basin; (5) The runoff hydrographs simulated by the moment-based methodology tend to be more right skewed relative to the observed ones and have lower peaks. It is inferred that this is due to consideration of only one mean velocity in the parameter estimation. Further research is required to combine the hydrodynamic heterogeneity between hillslope and channel network into the construction of time-area curve.

• Journal of Korea Water Resources Association
• /
• v.36 no.2
• /
• pp.211-221
• /
• 2003

The objectives of this study are to analyze the effects of time-area curve on Clark's watershed runoff method in addition to propose a GIS-based objective method for creating time-area curve. For the relative comparison of the variation of time-area curve to those of travel time and storage coefficient of Clark method, runoff sensitivities are performed on Soyang- and Chungju-dam watersheds for 1990. 9. 10~9. 14 event. The dimensionless time-area curve in HEC-1 that can be utilized in the case that the curve is not supplied is also tested in this study. The important results obtained in this study are as follows: The effects of time-area curve created by either GIS-based objective method or dimensionless curve are not significant for runoff analysis; The storage coefficient (K) and travel time( t$_{c}$), Clark's other two model parameters, are more sensitive than time-area curve for peak flow simulation. Therefore, it can be concluded that the parameters K and t$_{c}$ are more carefully estimated rather than time-area curve, when Clark method is used for runoff analysis.

• Journal of Korea Water Resources Association
• /
• v.37 no.11
• /
• pp.929-938
• /
• 2004

In this study, Miho stream basin(Seokhwa water level gauging station) In Geum river, Flood control main station of Geum River Flood Control Office, is selected. Hydrologic topographical informations are calculated using WMS which is hydrologic analysis software coupled with GIS Method, and flood analysis is accomplished by HEC-1 included In WMS. To calculate the effective rainfall CN values of SCS are used. Clark, Snyder and SCS methods are selected respectively to derive unit hydrograph. This study shows the applicability of GIS techniques to runoff simulation in ungauged basin by comparing with actual measured flood hydrograph. As a results, Snyder(Tulsa) method and Clark (Herby) method is suitable to Miho stream basin. But Snyder(Tulsa) method is suitable more than Clark(Herby) method. And according to the degree of urbanization, the peak discharge has increased and the peak time has tended to decrease.

• Journal of Industrial Technology
• /
• v.22 no.A
• /
• pp.211-218
• /
• 2002

HEC-HMS model should be calibrated to be applied to these basins in Gangwon-do unlike the general basins. In the study, it is investigated whether the HEC-HMS model may be applied or not to Naerinchon basin where is the typical basin of Gangwon-do Additionally, the straightforword module of HEC-HMS for simulating the hydrologic characteristic of Gangwon-do basins well will be suggested by comparison of the numerical results with the observed data. The hydrologic results estimated by several modules such as Clark, SCS and Snyder methods in HEC-HMS model have been compared with the observed data for 1999~2000 storm events. It is concluded that Clark method are relatively applicable to the basins in Gangwon-do rather than the others methods. The parametric studies for HEC-HMS model should be studied further in order to apply to Gangwon-do basins more accurately.