基于Copula函数的梯级水库设计洪水地区组成研究
Regional Flood Composition of CascadeReservoirs Based on Copula Function
DOI: 10.12677/JWRR.2014.32018, PDF,  被引量    国家自然科学基金支持
作者: 刘章君, 郭生练, 李天元：武汉大学水资源与水电工程科学国家重点实验室，武汉；徐长江：武汉大学水资源与水电工程科学国家重点实验室，武汉;长江水利委员会水文局，武汉
关键词: 梯级水库；设计洪水；地区组成；Copula函数；清江流域；Cascade Reservoirs； Design Flood； Regional Flood Composition； Copula Function； Qingjiang Basin
摘要: 目前工程设计中常用的同频率地区组成带有一定的人为性，统计理论基础不足。利用Copula函数推导了两种考虑空间相关性的梯级水库设计洪水地区组成，即条件期望组成和最可能组成。以清江流域为例，对三种地区组成进行比较研究，分析了上游水布垭-隔河岩梯级水库的调蓄对高坝洲断面设计洪水的影响。结果表明：同频率组成计算的设计结果系统偏小，可能会增加设计断面的防洪风险。基于Copula函数的两种组成充分考虑了各分区洪水的随机性和空间相关性，设计成果比较合理。受上游梯级水库调蓄的影响，高坝洲断面千年一遇设计洪水的削峰率为40%左右。
Abstract: The equivalent frequency regional composition method is widely used in practice. However, this method is based on artificial hypothesis and lacks the statistical basis. Two statistical composition methods, i.e. the conditional expectation method and the most likely method are proposed and derived based on Copula function. The Qingjiang cascade reservoirs are selected as the case study and the impact of Shuibuya-Geheyan cascade reservoirs regulation on the design flood of Gaobazhou dam site is analyzed. It is demonstrated that the results of equivalent frequency method are systematically smaller than those of the two proposed methods, which may lead to increasing the hydrological estimation risk. The proposed methods with strong statistical basis can capture the spatial correlation of flood events for each contributing watershed area, and the estimated design flood values are more reasonable than those of the equivalent frequency method. The 1000-year design peak discharge at Gaobazhou dam site has been cut about 40% due to the regulation of upstream cascade reservoirs.
文章引用：刘章君, 郭生练, 李天元, 徐长江. 基于Copula函数的梯级水库设计洪水地区 组成研究 [J]. 水资源研究, 2014, 3(2): 124-135. https://dx.doi.org/10.12677/JWRR.2014.32018

参考文献

[1] 谢小平, 黄灵芝, 席秋义, 等. 基于JC法的设计洪水地区组成研究[J]. 水力发电学报, 2006, 25(6): 125-129.
XIE Xiaoping, HUANG Lingzhi, XI Qiuyi, et al. Study of flood region composition by JC method. Journal of Hydroelectric Engineering, 2006, 25(6): 125-129. (in Chinese)
[2] 水利部. 水利水电工程设计洪水计算规范(SL44-2006) [S]. 北京: 中国水利水电出版社, 2006.
Ministry of Water Resources. Design flood calculation regulating for Water resources and hydropower engineering. Beijing: Hydropower and Electrical Press, 2006. (in Chi-nese)
[3] 水利部长江水利委员会水文局, 水利部南京水文水资源研究所. 水利水电工程设计洪水计算手册[M]. 北京: 中国水利水电出版社, 2001.
Bureau of Hydrology, Changjiang Water Resources Commission, Nanjing Institute of Hydrology and Water Resources. Handbook of calculation design flood for water resources and hydropower projects. Beijing: Hydropower and Electrical Press, 2001. (in Chinese)
[4] 谭维炎, 黄守信. 水库下游城市防洪风险的估算[J]. 水利学报, 1983, 7: 37-40.
TAN Weiyan, HUANG Shouxin. Flood risk estimation for City at reservoir downstream. Journal of Hydraulic Engineering, 1983, 7: 37-40. (in Chinese)
[5] 王锐琛, 陈源泽, 孙汉贤. 梯级水库下游洪水概率分布的计算方法[J]. 水文, 1990, 1: 1-8.
WANG Ruichen, CHEN Yuanze and SUN Hanxian. Flood distribution estimation at downstream cascade reservoirs. Journal of China Hydrology, 1990, 1: 1-8. (in Chinese)
[6] FAVRE, A. C., EL-ADLOUNI, S., PERREAULT, L., et al. Multivariate hydrological frequency analysis using copulas. Water Resources Research, 2004, 40(1): W01101.
[7] 郭生练, 闫宝伟, 肖义, 等. Copula 函数在多变量水文分析计算中的应用及研究进展[J]. 水文, 2008, 28(3): 1-7.
GUO Shenglian, YAN Baowei, XIAO Yi, et al. Application of Copula functions in multivariate hydrological analysis and estimation. Journal of China Hydrology, 2008, 28(3): 1-7. (in Chinese)
[8] 肖义, 郭生练, 熊立华, 等. 一种新的洪水过程随机模拟方法研究[J]. 四川大学学报(工程科学版), 2007, 39(2): 5560.
XIAO Yi, GUO Shenglian, XIONG Lihua, et al. A new random simula-tion method for constructing synthetic flood hydrographs. Journal of Sichuan University (Engineering Science Edition), 2007, 39(2): 55-60. (in Chinese)
[9] 闫宝伟, 郭生练, 刘攀, 等. 基于Copula函数的径流随机模拟研究[J]. 四川大学学报(工程科学版), 2010, 42(1): 5-9.
YAN Baowei, GUO Shenglian, LIU Pan, et al. Streamflow simulation based on Copula function. Journal of Sichuan University (Engineering Science Edition), 2010, 42(1): 5-9. (in Chi-nese)
[10] 李雨, 郭生练, 周研来, 等. 考虑入库洪水随机过程的梯级水库防洪优化调度[J]. 四川大学学报(工程科学版), 2012, 44(6): 13-20.
LI Yu, GUO Shenglian, ZHOU Yanlai, et al. Optimal flood control operation for the cascade reservoirs considering stochastic reservoir inflow hydrograph. Journal of Sichuan University (Engineering Science Edition), 2012, 44 (6): 1320. (in Chinese)
[11] 闫宝伟, 郭生练, 郭靖, 等. 基于Copula函数的设计洪水地区组成研究[J]. 水力发电学报, 2010, 29(6): 60-65.
YAN Baowei, GUO Shenglian, GUO Jing, et al. Regional design flood composition based on Copula function. Journal of Hydroelectric Engineering, 2010, 29(6): 60-65. (in Chi-nese)
[12] 栗飞, 郭生练, 李天元, 等. 不连续序列的设计洪水地区组成方法研究[J]. 水电能源科学, 2011, 29(5): 47-49.
LI Fei, GUO Shenglian, LI Tianyuan, et al. Design flood region composition method by considering his-torical information. Water Resources and Power, 2011, 29(5): 47-49. (in Chinese)
[13] 詹道江, 徐向阳, 陈元芳. 工程水文学(第四版)[M]. 北京: 中国水利水电出版社, 2010.
ZHAN Daojiang, XU Xiangyang and CHEN Yua-nfang. Engineering hydrology (4th Edition). Beijing: Hydropower and Electrical Press, 2010. (in Chinese)
[14] NELSEN, R. B. An introduction to Copulas (2nd Edition). New York: Springer, 2006.
[15] 熊立华, 郭生练, 肖义, 等. Copula联结函数在多变量水文频率分析中的应用[J]. 武汉大学学报(工学版), 2005, 38(6): 16-19.
XIONG Lihua, GUO Shenglian, XIAO Yi, et al. Application of Copulas to multivariate hydrological frequency analysis. Engineering Journal of Wuhan University, 2005, 38(6): 16-19. (in Chinese)
[16] ZHANG, L., SINGH, V. P. Trivariate flood frequency analysis using the Gumbel-Hougaard copula. Journal of Hydrologic Engineering, 2007, 12(4): 431-439.
[17] LI, T. Y., GUO, S. L., CHEN, L. and GUO, J. L. Bivariate flood frequency analysis with historical information based on Copula. Journal of Hydrologic Engineering, 2013, 18(8): 1018-1030.