한국수자원학회논문집 (Journal of Korea Water Resources Association)

  • 제47권10호
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  • Pages.959-972
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  • 2014
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  • 2799-8746(pISSN)
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  • 2799-8754(eISSN)
한국수자원학회 (Korea Water Resources Association)
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멀티프랙탈 시·공간 격자강우량 생산기법의 수문학적 적용성 평가 : 충주댐상류유역 중심으로

Hydrological Assessment of Multifractal Space-Time Rainfall Downscaling Model: Focusing on Application to the Upstream Watershed of Chungju Dam

  • 송호용 (한양대학교 대학원 건설환경공학과) ;
  • 김동균 (홍익대학교 건설도시공학부) ;
  • 김병식 (국립강원대학교 소방방재학부 & 방재전문대학원) ;
  • 황석환 (한국건설기술연구원 수자원환경본부) ;
  • 김태웅 (한양대학교 공학대학 건설환경플랜트공학과)
  • Song, Ho Yong (Dept. of Civil and Environmental Engineering, Hanyang University) ;
  • Kim, Dong-Kyun (Dept. of Civil Engineering, Hongik University) ;
  • Kim, Byung-Sik (Dept. of Urban & Environmental Disaster Prevention Engineering School of Fire & Disaster Prevention, Kangwon National University) ;
  • Hwang, Seok-Hwan (Division of Water Resources Research in Korea Institute of Civil Engineering and Building Technology) ;
  • Kim, Tae-Woong
  • 투고 : 2014.08.17
  • 심사 : 2014.09.25
  • 발행 : 2014.10.31
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초록

본 연구에서는 멀티프랙탈 이론을 기반으로 시 공간 격자강우장 생산 모형을 충주댐 상류유역에 발생한 9개의 홍수 사상에 대하여 검증하였다. 이를 위하여 기상청의 레이더 강우자료에 대한 시공간 멀티프랙탈 특성을 분석하였으며, 로그 포아송 분포와 3차원 웨이브렛 함수 기반의 시 공간 격자 강우생산 모형을 활용하여 관측강우의 멀티프랙탈 특성을 재현하는시 공간 가상강우장을 생산하였다. 생성된 가상강우장을 S-RAT 분포형 수문모형에 입력값으로 적용하여 유역출구에서의 반응을 관측강우 및 시공간적으로 균등한 분포를 가진강우장에 대하여 산출된 유역출구에서의 반응과 비교하였다. 관측 강우장과 가상강우장, 관측강우장과 저해상도 강우장에 대하여 RMSE, RRMSE, MAE, SS, 그리고 NPE, PTE 등을 이용하여 오차분석을 수행한 결과, 평균적으로 첨두홍수량은 20.03% 증가하였고, 첨두시간은 0.81% 감소하였다.

In this study, a space-time rainfall grid field generation model based on multifractal theory was verified using nine flood events in the upstream watershed of Chungju dam in South Korea. For this purpose, KMA radar rainfall data sets were analyzed for the space-time multifractal characteristics. Simulated rainfall fields that represent the multifractal characteristics of observed rainfall field were reproduced using the space-time rainfall grid field generation model with log-Poisson distribution and three-dimension wavelet function. Simulated rainfall fields were applied to the S-RAT model as input data and compared with both observed rainfall fields and low-resolution rainfall field runoff. Error analyses using RMSE, RRMSE, MAE, SS, NPE and PTE indicated that the peak discharge increases about 20.03% and the time to peak decreases about 0.81%.

키워드

참고문헌

  1. Ahn, S.R., Park, M.J., Park, G.A., and Kim, S.J. (2009). "Assessing future climate change impact on hydrologic components of Gyeongancheon watershed." Journal of Korea Water Resources Association, Vol. 42, No. 1, pp. 33-50. (in Korean) https://doi.org/10.3741/JKWRA.2009.42.1.33
  2. Ann, B.Y., Hong, S.J., Kim, B.S., and Kim, H.S. (2013). "Analysis of extreme event using extreme indices and RCP 8.5 scenario in Korean peninsula." Journal of Korean Society of Hazard Conference 2013, pp. 135. (in Korean)
  3. Bae, D.-H., Jung, I.W., Lee, B.J., and Lee, M.H. (2011). "Future Korean water resources projection considering uncertainty of GCMs and hydrological models." Journal of Korea Water Resources Association, Vol. 44, No. 5, pp. 389-406. (in Korean) https://doi.org/10.3741/JKWRA.2011.44.5.389
  4. Cannon, A.J. (2007). "Nonlinear analog predictor analysis: a coupled neural network/analog model for climate downscaling." Neural Networks, Vol. 20, No. 4, pp. 444-453. https://doi.org/10.1016/j.neunet.2007.04.002
  5. Conway, D., and Jones, P.D. (1998). "The use of weather types and air flow indices for GCM downscaling" Journal of Hydrology, 212-213, pp. 348-361. https://doi.org/10.1016/S0022-1694(98)00216-9
  6. Deidda., R. (2000). "Rainfall downscaling in a space-time multifractal framework" Water Resources Research, Vol. 36, No. 7, pp. 1779-1794. https://doi.org/10.1029/2000WR900038
  7. Deidda, R., Benzi, R., and Siccardi, F. (1999). "Multifractal modeling of anomalous scaling laws in rainfall" Water Resources Research, Vol. 35, No. 6, pp. 1853-1867. https://doi.org/10.1029/1999WR900036
  8. Dubrulle, B. (1994) "Intermittency in fully developed turbulence: log-Poisson statistics and generalized scalecovariance" Physical Review Letters, Vol. 73, No. 7, pp. 959-962. https://doi.org/10.1103/PhysRevLett.73.959
  9. Fabry, F. (1996) "On the determination of scale ranges for precipitation fields" J. Geophys. Res., Vol. 101, No. D8, pp. 12,819-12,826. https://doi.org/10.1029/96JD00718
  10. Fowler, H.J., Kilsby, C.G., O'Connell, P.E., and Burton, A. (2005). "A weather type conditioned multi-site stochastic rainfall model for generation of scenarios of climatic variability and change." Journal of Hydrology, Vol. 308, No. 1-4, pp. 50-66. https://doi.org/10.1016/j.jhydrol.2004.10.021
  11. Goodess, C.M., and Palutikof, J. (1998). "Development of daily rainfall scenarios for southeast Spain using a circulation-type approach to downscaling." International Journal of Climatology, Vol. 18, No. 10, pp. 1051-1083. https://doi.org/10.1002/(SICI)1097-0088(199808)18:10<1051::AID-JOC304>3.0.CO;2-1
  12. Han, M.S., Kim, C.S., Kim, H.S., and Kim, H.R. (2009). "A study on the revised methods of missing rainfall data for real-time forecasting systems." Journal of Korea Water Resources Association, Vol. 42, No. 2, pp. 131-139. (in Korean) https://doi.org/10.3741/JKWRA.2009.42.2.131
  13. Im, E.S., Kwon, W.-T., and Bae, D.-H. (2006). "A study on the regional climate change scenario for impact assessment on water resources." Journal of Korea Water Resources Association, Vol. 39, No. 12, pp. 1043-1056. (in Korean) https://doi.org/10.3741/JKWRA.2006.39.12.1043
  14. IPCC (2007). Climate Change 2007: Impacts, Adaptation and Vulnerability.
  15. Johnson, E.R., and Bras, R.L. (1979). "Real-time estimation of velocity and covariance structure of rainfall events using telemetered raingage data-A comparison of methods." Journal of Hydrology, No. 44, pp. 97-123. https://doi.org/10.1016/0022-1694(79)90149-5
  16. Kang, B.S. (2003). Statistical characteristics of self-similarity in rainfall radar field. Proceedings of the Korea Water Resources Association Conference 2003, pp. 431-434. (in Korean)
  17. Kang, B.S., and Lee, B.K. (2009). Dam basin-scale regionalization of large-scale model output using the artificial neural network. Proceedings of the Korea Water Resources Association Conference 2009, pp. 179-183. (in Korean)
  18. Kang, J.Y., Kim, Y.D., and Kang, B.S. (2013). "Effect of change in hydrological environment by climate change on river water quality in Nam River watershed." Journal of Korea Water Resources Association, Vol. 46, No. 8, pp. 873-884. (in Korean) https://doi.org/10.3741/JKWRA.2013.46.8.873
  19. Kim, B.-S., Kim, B.-K., and Kim, H.-S. (2008a). "Flood simulation using the gauge adjusted radar rainfall and physics-based distributed hydrologic model." Hydrological Processes, Vol. 22, No. 22, pp. 4400-4414. https://doi.org/10.1002/hyp.7043
  20. Kim, B.-S., Kim, B.K., Kyoung, M.S., and Kim, H.-S. (2008b). "Impact assessment of climate change on extreme rainfall and I-D-F analysis." Journal of Korea Water Resources Association, Vol. 41, No. 4, pp. 379-394. (in Korean) https://doi.org/10.3741/JKWRA.2008.41.4.379
  21. Kim, B.-S., Kim, H.-S., Seoh, B.H., and Kim, N.W. (2004). "Impact assessment of climate change on hydrologic components and water resources in watershed." Journal of Korea Water Resources Association, Vol. 37, No. 2, pp. 185-193. (in Korean) https://doi.org/10.3741/JKWRA.2004.37.3.185
  22. Kim, B.-S., Noh, H.S., and Kim, H.-S. (2011). "The comparison of estimation methods for the missing rainfall data with spatio-temporal variability." Journal of Wetlands Research, Vol. 13, No. 2, pp. 189-197. (in Korean)
  23. Kim, B.-S., Yoon, S-H., Hong, S.-J., and Kwon, H.-H. (2010). Development of conceptually grid based hydrological model. Proceedings of the Korea Water Resources Association Conference 2010, pp. 149-154. (in Korean)
  24. Kim, J.S., Rim, H.W., Um, M.J., Kim, W.I., and Ahn, W.S. (2008c). Spatial adjustment of rainfall using kriging method and application of distributed model. Proceedings of the Korea Water Resources Association Conference 2008, pp. 130-134. (in Korean)
  25. Kwon, H.-H., and Kim, B.-S., (2009). "Development of statistical downscaling model using nonstationary Markov Chain." Journal of Korea Water Resources Association, Vol. 42, No. 3, pp. 213-225. (in Korean) https://doi.org/10.3741/JKWRA.2009.42.3.213
  26. Kyoung, M.S., Kim, H.-S., and Kim, B.-S., (2009a). Climate change effect on daily precipitation frequency in Korea. Proceedings of the Korea Water Resources Association Conference 2009, pp. 129-133. (in Korean)
  27. Kyoung, M.S., Lee, J.K., and Kim, H.-S. (2009b). "Downscaling technique of monthly GCM using daily precipitation generator." Journal of the Korean Society of Civil Engineers, Vol. 29, No. 5B, pp. 441-452. (in Korean)
  28. Kyoung, M.S., Lee, Y.W., Kim, H.S., and Kim, B.S. (2009c). "Assessment of climate change effect on temperature and drought in Seoul : based on the AR4 SRES A2 scenario." Journal of the Korean Society ofCivil Engineers, Vol. 29, No. 2, pp. 181-191. (in Korean)
  29. Lee, J.M., Kim, Y.D., Kang, B.S., and Lee, H.S. (2012). "Impact of climate change on runoff in Namgang Dam watershed" Journal of Korea Water Resources Association, Vol. 45, No. 6, pp. 517-529. (in Korean) https://doi.org/10.3741/JKWRA.2012.45.6.517
  30. Lee, M.H., and Bae, D.-H. (2013). "Evaluation of hybrid downscaling method combined regional climate model with step-wise scaling method." Journal of Korea Water Resources Association, Vol. 46, No. 6, pp. 585-596. (in Korean) https://doi.org/10.3741/JKWRA.2013.46.6.585
  31. Monin, A.S., and Yaglom, A.M. (1975). Statistical Fluid Mechanics: Mechanics of Turbulence, Volume 2 Fluid Mechanics. MIT Press, Cambridge, Mass.
  32. Ogden, F.L., and Julien, P.Y. (1994). "Runoff model sensitivity to radar rainfall resolution" Journal ofHydrology, Vol. 158, No. 1-2, pp. 1-18. https://doi.org/10.1016/0022-1694(94)90043-4
  33. Ogden, F.L., and Turk, F.K. (1991). The applicability of weather radar to hydrologic modeling: radar resolution requirements and comparison with dense raingauge network data. Proceedings of 11th Annual AGU Hydrology Days, pp. 11-22.
  34. She, Z.-S., and Waymire, E.C. (1995). "Quantized energy cascade and log-Poisson statistics in fully developed turbulence" Phys. Rev. Lett., 74, pp. 262-265. https://doi.org/10.1103/PhysRevLett.74.262
  35. Song, C.W., Song, C.J., Kim, B.-S., and Kim, H.-S. (2010). Estimation ofmissing rainfall data considering spatiotemporal variation using radar data. Proceedings of the Korea Water Resources Association Conference 2010, pp. 1196-1120. (in Korean)
  36. Yaglom, A.M. (1966) "Effect of fluctuations in energy dissipation rate on the form of turbulence characteristics in the inertial subrange" Dokl. Akad. Nauk, No. 166, pp. 49-52.