DOI QR코드

DOI QR Code

Evaluation of flood frequency analysis technique using measured actual discharge data

실측유량 자료를 활용한 홍수량 빈도해석 기법 평가

  • Kim, Tae-Jeong (Planning & Management Division, Korea Institute of Hydrological Survey) ;
  • Kim, Jang-Gyeong (Bayesianworks Institute) ;
  • Song, Jae-Hyun (Department of Civil Engineering, Inha University) ;
  • Kim, Jin-Guk (Department of Hydro Science and Engineering Research, Korea Institute of Civil Engineering and Building Technology) ;
  • Kwon, Hyun-Han (Department of Civil & Environmental Engineering, Sejong University)
  • 김태정 (한국수자원조사기술원 전략기획실) ;
  • 김장경 (베이지안웍스) ;
  • 송재현 (인하대학교 토목공학과) ;
  • 김진국 (한국건설기술연구원 수자원하천연구본부) ;
  • 권현한 (세종대학교 공과대학 건설환경공학과)
  • Received : 2022.03.17
  • Accepted : 2022.04.06
  • Published : 2022.05.31

Abstract

For water resource management, the design flood is calculated using the flood frequency analysis technique and the rainfall runoff model. The method by design flood frequency analysis calculates the stochastic design flood by directly analyzing the actual discharge data and is theoretically evaluated as the most accurate method. Actual discharge data frequency analysis of the measured flow was limited due to data limitations in the existing flood flow analysis. In this study, design flood frequency analysis was performed using the measured flow data stably secured through the water level-discharge relationship curve formula. For the frequency analysis of design flood, the parameters were calculated by applying the bayesian inference, and the uncertainty of flood volume by frequency was quantified. It was confirmed that the result of calculating the design flood was close to that calculated by the rainfall-runoff model by applying long-term rainfall data. It is judged that hydrological analysis can be done from various perspectives by using long-term actual flow data through hydrological survey.

수자원의 계획 및 설계에 활용되는 홍수량 산정 방법은 홍수량 빈도해석 방법과 강우-유출모형에 의한 방법이 사용된다. 홍수량 빈도해석 방법은 홍수량 자료를 직접 빈도해석 하여 확률홍수량을 산정하며 이론적으로 가장 정확한 방법으로 평가된다. 기존의 홍수량 해석은 자료의 제약으로 인하여 실측유량의 직접 빈도해석은 한계가 있었으나 과거부터 국가적으로 수문조사를 수행하여 10년 이상의 실측유량 자료를 확보할 수 있는 수준에 도달하였다. 본 연구는 수위-유량 관계곡선식을 통하여 안정적으로 확보된 실측유량 자료를 활용하여 홍수량 빈도해석을 수행하였다. 홍수량 빈도해석을 위하여 Bayesian 기법을 적용하여 매개변수를 산정하고 빈도별 홍수량의 불확실성을 정량화하였다. 확률홍수량 산정 결과는 장기간의 강우량 자료를 적용하여 강우-유출모형으로 산정된 홍수량과 근접한 것을 확인하였다. 수문조사를 통하여 장기간의 실측유량 자료를 활용하여 다각적인 관점으로 수문해석이 가능할 것으로 판단된다.

Keywords

Acknowledgement

본 연구는 2021년도 중소벤처기업부의 재원으로 중소기업기술정보진흥원 기술개발사업 지원에 의한 연구임(No. S3055272 용수공급능력 평가를 위한 물수급 분석 시스템 개발).

References

  1. Ahn, J., Cho, W., Kim, T., Shin, H., and Heo, J.H. (2014). "Flood frequency analysis for the annual peak flows simulated by an event-based rainfall-runoff model in an urban drainage basin." Water, Vol. 6, No. 12, pp. 3841-3863. https://doi.org/10.3390/w6123841
  2. Alcantara, A.L., and Ahn, K.H. (2021). "Future flood riverine risk analysis considering the heterogeneous impacts from tropical cyclone and non-tropical cyclone rainfalls: Application to daily flows in the Nam River Basin, South Korea." Advances in Water Resources, Vol. 154, 103983. https://doi.org/10.1016/j.advwatres.2021.103983
  3. Belkhiri, L., and Kim, T.J. (2021). "Individual influence of climate variability indices on annual maximum precipitation across the global scale." Water Resources Management, Vol. 35, No. 9, pp. 2987-3003. https://doi.org/10.1007/s11269-021-02882-8
  4. Bhagat, N. (2017). "Flood frequency analysis using Gumbel's distribution method: A case study of Lower Mahi Basin, India." Journal of Water Resources and Ocean Science, Vol. 6, No. 4, pp. 51-54. https://doi.org/10.11648/j.wros.20170604.11
  5. Chae, B.S., Choi, S.J., Ahn, J.H., and Kim, T.W. (2018). "Estimation of flood quantile in ungauged watersheds for flood damage analysis based on flood index of natural flow." Journal of the Korean Society of Civil Engineers, Vol. 38, No. 1, pp. 175-182. https://doi.org/10.12652/Ksce.2018.38.1.0175
  6. Chebana, F., and Ouarda, T.B. (2008). "Depth and homogeneity in regional flood frequency analysis." Water Resources Research, Vol. 44, No. 11, W11422. https://doi.org/10.1029/2007WR006771
  7. Engeland, K., Wilson, D., Borsanyi, P., Roald, L., and Holmqvist, E. (2018). "Use of historical data in flood frequency analysis: a case study for four catchments in Norway." Hydrology Research, Vol. 49, No. 2, pp. 466-486. https://doi.org/10.2166/nh.2017.069
  8. Kang, D., Ko, K., and Huh, J. (2015). "Determination of extreme wind values using the Gumbel distribution." Energy, No. 86, pp. 51-58.
  9. Kim, N.W., and Lee, J.E. (2009). "Assessment of probability flood according to the flow regulation by multi-purpose dams in Han-River basin." Journal of Korea Water Resources Association, Vol. 42, No. 2, pp. 161-168. https://doi.org/10.3741/JKWRA.2009.42.2.161
  10. Kim, T.J., Kwon, H.H., and Lima, C. (2018). "A Bayesian partial pooling approach to mean field bias correction of weather radar rainfall estimates: Application to Osungsan weather radar in South Korea." Journal of Hydrology, Vol. 565, pp. 14-26. https://doi.org/10.1016/j.jhydrol.2018.07.082
  11. Kim, Y.T., Park, M., and Kwon, H.H. (2020). "Spatio-temporal summer rainfall pattern in 2020 from a rainfall frequency perspective." Journal of Korean Society of Disaster and Security, Vol. 13, No. 4, pp. 93-104. https://doi.org/10.21729/KSDS.2020.13.4.93
  12. Kwon, H.H., Brown, C., and Lall, U. (2008a). "Climate informed flood frequency analysis and prediction in Montana using hierarchical Bayesian modeling." Geophysical Research Letters, Vol. 35, No. 5, L05404. https://doi.org/10.1029/2007GL032220
  13. Kwon, H.H., Moon, Y.I., Kim, B.S., and Yoon, S.Y. (2008b). "Parameter optimization and uncertainty analysis of the NWS-PC rainfall-runoff model coupled with bayesian markov chain monte carlo inference scheme." Journal of Civil and Environmental Engineering Research, Vol. 28, No. 4B, pp. 383-392.
  14. Lee, C.H., Kim, T.W., Chung, G., Choi, M., and Yoo, C. (2010). "Application of bivariate frequency analysis to the derivation of rainfall - frequency curves." Stochastic Environmental Research and Risk Assessment, Vol. 24, No. 3, pp. 389-397. https://doi.org/10.1007/s00477-009-0328-9
  15. Machado, M.J., Botero, B.A., Lopez, J., Frances, F., Diez-Herrero, A., and Benito, G. (2015). "Flood frequency analysis of historical flood data under stationary and non-stationary modelling." Hydrology and Earth System Sciences, Vol. 19, No. 6, pp. 2561-2576. https://doi.org/10.5194/hess-19-2561-2015
  16. Ministry of Environment (ME) (2019). Standard guideline for design flood.
  17. Ministry of Land, Infrastructure and Transport (MLT) (2011). Improvement and supplement of probability rainfall in South Korea.
  18. Na, W.Y., and Yoo, C.S. (2021). "Development of the Bayesian method and its application to the water resources field." Journal of Korea Water Resources Association, Vol. 54, No. 1, pp. 1-13. https://doi.org/10.3741/JKWRA.2021.54.1.1
  19. Shin, J.Y., Heo, J.H., Jeong, C., and Lee, T. (2014). "Meta-heuristic maximum likelihood parameter estimation of the mixture normal distribution for hydro-meteorological variables." Stochastic Environmental Research and Risk Assessment, Vol. 28, No. 2, pp. 347-358. https://doi.org/10.1007/s00477-013-0753-7
  20. Shin, J.Y., Kwon, H.H., Lee, J.H., and Kim, T.W. (2020). "Probabilistic long term hydrological drought forecast using Bayesian networks and drought propagation." Meteorological Applications, Vol. 27, No. 1, e1827.
  21. Singh, V.P., Wang, S.X., and Zhang, L. (2005). "Frequency analysis of nonidentically distributed hydrologic flood data." Journal of Hydrology, Vol. 307, No. 1-4, pp. 175-195. https://doi.org/10.1016/j.jhydrol.2004.10.029
  22. Smith, T., Marshall, L., and Sharma, A. (2015). "Modeling residual hydrologic errors with Bayesian inference." Journal of Hydrology, Vol. 528, pp. 29-37. https://doi.org/10.1016/j.jhydrol.2015.05.051
  23. Solomon, O., and Prince, O. (2013). "Flood frequency analysis of Osse river using Gumbel's distribution." Civil and Environmental Research, Vol. 3, No. 10, pp. 55-59.
  24. Stedinger, J.R., Vogel, R.M., and Foufoula-Georgiou, E. (1993). Frequency analysis of extreme events. Handbook of Hydrology. McGraw-Hill Inc., U.S.
  25. Uranchimeg, S., Kwon, H.H., Kim, B., and Kim, T.W. (2020). "Changes in extreme rainfall and its implications for design rainfall using a Bayesian quantile regression approach." Hydrology Research, Vol. 51, No. 4, pp. 699-719. https://doi.org/10.2166/nh.2020.003
  26. Yoon, Y.N., Shin, C.K., and Jang, S.H. (2005). "An estimation of flood quantiles at ungauged locations by index flood frequency curves." Journal of Korea Water Resources Association, Vol. 38, No. 1, pp. 1-9. https://doi.org/10.3741/JKWRA.2005.38.1.001