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Derivation of Flood Frequency Curve with Uncertainty of Rainfall and Rainfall-Runoff Model

강우 및 강우-유출 모형의 불확실성을 고려한 홍수빈도곡선 유도

  • 권현한 (전북대학교 토목공학과, 방재연구센터) ;
  • 김장경 (전북대학교 토목공학과, 방재연구센터) ;
  • 박세훈 (한국시설안전공단 상하수도팀)
  • Received : 2012.08.14
  • Accepted : 2012.09.27
  • Published : 2013.01.31

Abstract

The lack of sufficient flood data being kept across Korea has made it difficult to assess reliable estimates of the design flood while relatively sufficient rainfall data are available. In this regard, a rainfall simulation based derivation technique of flood frequency curve has been proposed in some of studies. The main issues in deriving the flood frequency curve is to develop the rainfall simulation model that is able to effectively reproduce extreme rainfall. Also the rainfall-runoff modeling that can convey uncertainties associated with model parameters needs to be developed. This study proposes a systematic approach to fully consider rainfallrunoff related uncertainties by coupling a piecewise Kernel-Pareto based multisite daily rainfall generation model and Bayesian HEC-1 model. The proposed model was applied to generate runoff ensemble at Daechung Dam watershed, and the flood frequency curve was successfully derived. It was confirmed that the proposed model is very promising in estimating design floods given a rigorous comparison with existing approaches.

신뢰성 있는 홍수빈도해석을 수행하기 위해서는 충분한 홍수량 및 강우자료가 필요하다. 강우자료의 경우 우리나라 대부분 지역에서 30년 이상의 극치자료가 활용이 가능한 반면 홍수량 자료는 상대적으로 충분한 자료가 확보되지 않아 신뢰성 있는 빈도해석이 어려운 실정이다. 이에 따라 강우모의 기법에 근거한 홍수빈도곡선 유도방안연구가 몇몇 연구에서 제안된 바 있으나, 기본적으로 입력된 강우의 빈도와 홍수의 빈도가 동일하다고 가정함으로 인하여 발생하는 불확실성이 상당부분 내포되어 있다. 이러한 점에서 본 연구의 목적은 강우모의기법과 불확실성 분석이 고려된 홍수빈도곡선 유도방법을 개발하는 것으로 홍수빈도곡선을 유도하는데 있어서의 핵심은 미래에 발생 가능한 극치강수량을 효과적으로 재현할 수 있는 강수량 모의발생 기법과 강우-유출관계의 불확실성 분석에 있다. 본 연구에서는 극치강수량 모의를 위해 불연속 Kernel Pareto 분포를이용한 다지점 강수모의기법과 Bayesian HEC-1 (BHEC-1) 모형을 연계하여 본연구의 대상유역인 대청댐 유역의 강우-유출 관계의 불확실성을 고려한 홍수빈도곡선을 개발하고 모형의 적합성을 평가하였다. 최종적으로 기존 홍수빈도결정방법과 비교를 통해서 모형의 적합성을 확인하였다.

Keywords

References

  1. Bae, D.-H., Jeong, I.-W., and Kang, T.-H. (2002). "A Study on Parameters Estimation Considering Runoff Characteristics in Watershed." Proceedings: Korean Society Civil Engineering Conference, KSCE, pp. 1226-1229.
  2. Bates, B.C., and Townley, L.R. (1988). "Nonlinear, discrete flood event models. 3. Analysis of prediction uncertainty." Journal of Hydrology, Vol. 99, pp. 91- 101. https://doi.org/10.1016/0022-1694(88)90080-7
  3. Beven, K.J., and Binley, A. (1992). "The future of distributed models: model calibration and uncertainty prediction." Hydrological Processes, Vol. 6, pp. 279- 298. https://doi.org/10.1002/hyp.3360060305
  4. Binley, A.M., Beven, K.J., Calver, A., and Watts, L.G. (1991). "Changing responses in hydrology: assessing the uncertainty in physically based model predictions." Water Resources Research, Vol. 27, No. 6, pp. 1253-1261. https://doi.org/10.1029/91WR00130
  5. Bloschl, G., and Sivapalan, M. (1997). Process control on flood frequency. Runoff Generation, Storm Properties and Return, Centre for Water Research Environmental Dynamics Report, ED 1159 MS. Department of Civil Engineering, The University of Western Australia.
  6. Boughton, W., and Droop, O. (2003). "Continuous simulation for design flood estimation-a review." Environ Model Software, Vol. 18, pp. 309-318 https://doi.org/10.1016/S1364-8152(03)00004-5
  7. Cameron, D., Beven, K.J., Tawn, J., and Naden, P. (2000). "Flood frequency estimation by continuous simulation (with likelihood based uncertainty estimation)." Hydrol. Earth Sys. Sci., Vol. 4, No. 1, pp. 23-34. https://doi.org/10.5194/hess-4-23-2000
  8. Frost, A.J., Srikanthan, R., and Cowpertwait, P.S.P. (2004). Stochastic Generation of Daily Rainfall at a Number of Sites. CRC Technical report 04/09. CRC for Catchment Hydrology.
  9. Garen, D.C., and Burges, S.J. (1981). "Approximate error bounds for simulated hydrographs." Journal of the Hydraulics Division, ASCE, Vol. 107, pp. 1519-1534.
  10. Gelman A, Chew G.L, and Shnaidman M. (2004). "Bayesian Analysis of Serial Dilution Assays." Biometrics, Vol. 60, No. 2, pp. 407-417. https://doi.org/10.1111/j.0006-341X.2004.00185.x
  11. Han, K.-Y., Lee, J.-S., Kim, S.-H. (1997). "Risk Model for the Safety Evaluation of Dam and Levee (I). - Theory and Model-." Journal of KoreaWater Resources Association, KWRA, Vol. 30, No. 6, pp. 679-690.
  12. Hydrologic Engineering Center (1990). "HEC-1 Flood Hydrograph Package, User's Manual." U.S. Army Corps of Engineers, Davis, California.
  13. Kim, M.-M., Lee, W.-H., and Cho, W.-C. (1993). "Reliability Analysis of Storm Sewer System by AFOSMMethod." Journal of Korean Society Civil Engineering, KSCE, Vol. 13, No. 2, pp. 201-209.
  14. Kwon, H.-H., and Kim, B.-S. (2009). "Development of Statistical Downscaling Model Using Nonstationary Markov Chain." Journal of Korea Water Resources Association, KWRA, Vol. 42, No. 3, pp. 213-225. https://doi.org/10.3741/JKWRA.2009.42.3.213
  15. Kwon, H.-H., and Moon, Y.-I. (2007). "Development of Statistical Seasonal Rainfall Model Considering Climate Information and Typhoon Characteristics." Journal of Korean Society Civil Engineering, KSCE, Vol. 27, No. 1B, pp. 45-52.
  16. Kwon, H.-H., and So, B.-J. (2011). "Development of Daily Rainfall Simulation Model Using Piecewise Kernel-Pareto Continuous Distribution." Journal of Korean Society Civil Engineering, KSCE, Vol. 31, No. 3B, pp. 277-284.
  17. Kwon, H.-H., Kim, J.-G., Lee, J.-S., and Na, B.-K. (2012). "Uncertainty Assessment of Single Event Rainfall-Runoff Model Using Bayesian Model." Journal of Korea Water Resources Association, KWRA, Vol. 45, No. 5, pp. 505-516. https://doi.org/10.3741/JKWRA.2012.45.5.505
  18. Kwon, H.-H., Moon, Y.-I., and Khalil, A.F. (2007). "Nonparametric Monte Carlo Simulation For Flood Frequency Curve Derivation : An Application to A Korean Watershed." Journal of the American Water Resources Association, Vol. 43, No. 5, pp. 1316-1328. https://doi.org/10.1111/j.1752-1688.2007.00115.x
  19. Kwon, H.-H., Moon, Y.-I., Kim, B.-S., and Yoon, S.-Y. (2008). "Parameter Optimization and Uncertainty Analysis of the NWS-PC Rainfall-Runoff Model Coupled with Bayesian Markov Chain Monte Carlo Inference Scheme." Journal of Korean Society Civil Engineering, KSCE, Vol. 28, No. 4B, pp. 383-392.
  20. Kwon, H.-H., Park, D.-H., and Moon, Y.-I. (2004a). "Derivation of Flood Frequency Curve Using Uncertainty Analysis of Single Event Rainfall-Runoff Model (I). -Uncertainty Analysis of Rainfall-Runoff Model-." Journal of Korean Society Civil Engineering, KSCE, Vol. 24, No. 3B, pp. 229-239.
  21. Kwon, H.-H., Park, D.-H., and Moon, Y.-I. (2004b). "Derivation of Flood Frequency Curve Using Uncertainty Analysis of Single Event Rainfall-Runoff Model (II). -Derivation of Flood Frequency Curve-." Journal of Korean Society Civil Engineering, KSCE, Vol. 24 No. 3B, pp. 241-246.
  22. Lei, J., and Schlling, W. (1993). "Propagation of model uncertainty. Proceedings Sixth International Conference on Urban Storm Drainage, Niagara Falls, Canada." Seapoint Publishing, Victoria, BC, Canada, pp. 465-470.
  23. Loukas, A. (2002). "Flood frequency estimation by a derived distribution procedure." Journal of Hydrology, Vol. 255, pp. 69-89. https://doi.org/10.1016/S0022-1694(01)00505-4
  24. Melching, C.S. (1992a). "An improved first-order reliability approach for assessing uncertainties in hydrologic modeling." Journal of Hydrology, Vol. 132, pp. 157-177. https://doi.org/10.1016/0022-1694(92)90177-W
  25. Melching, C.S. (1992b). "A comparison of methods for estimating variance of water resources model predictions. In: Kuo, J.-T., Lin, G.-F. (Eds.)." Stochastic Hydraulics '92, Proceedings Sixth International Association for Hydraulic Research Symposiumon Stochastic Hydraulics, Taipei, Taiwan. Water Resources Publications, Littleton, CO, pp. 663-670.
  26. Melching, C.S. (1995). Computer models of watershed hydrology. In: Vijay Singh, P. (Ed.). Reliability Estimation. Water Resources Publications, Littleton, CO, pp. 69-118.
  27. Muzik, I. (2002). "A first-order analysis of the climate change effect on flood frequencies in a subalpine watershed by means of a hydrological rainfall-runoff model." Journal of Hydrology, Vol. 267, pp. 65-73. https://doi.org/10.1016/S0022-1694(02)00140-3
  28. Rahman, A., Weinmann, P.E., Hoang, T.M.T., and Laurenson, E.M. (2002). "Monte Carlo simulation of flood frequency curves from rainfall." Journal of Hydrology, Vol. 256, pp. 196-210. https://doi.org/10.1016/S0022-1694(01)00533-9
  29. Rosenblatt Murray (1956). "On the Estimation of Regression Coefficients of a Vector-Valued Time Series with a Stationary Residual." The Annals of Mathematical Statistics, Vol. 27, No. 1, pp. 99-121. https://doi.org/10.1214/aoms/1177728352
  30. Shin, H.-S., and Yoon, Y.-N. (1998). "An Uncertainty and Sensitivity Analysis in Estimating Annual Reservoir Sediment Deposition Based on MCS and LHS Methods." Journal of Korean Society Civil Engineering, KSCE, Vol. 18, No. 2-2, pp. 141-152.
  31. Srikanthan, R. (2005). Stochastic Generation of Daily Rainfall at a Number of Sites. Cooperative Research Centre for Catchment Hydrology. Technical report 05/7.
  32. Yu, P.S., Yang, T.C., and Chen, S.J. (2001). "Comparison of uncertainty analysis methods for a distributed rainfall-runoff model." Journal of Hydrology, Vol. 244, pp. 43-59. https://doi.org/10.1016/S0022-1694(01)00328-6

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