JWRR  >> Vol. 6 No. 5 (October 2017)

    基于Copula函数的嘉陵江流域干支流洪水遭遇分析
    Flood Coincidence Probability Analysis for Mainstream and Tributaries of the Jialing River Basin Based on Copula Function

  • 全文下载: PDF(1766KB) HTML   XML   PP.459-467   DOI: 10.12677/JWRR.2017.65054  
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作者:  

冉啟香,彭 畅,凌 旋:长江水利委员会水文局长江上游水文水资源勘测局,重庆

关键词:
嘉陵江流域洪水遭遇Copula函数多变量Jialing River Basin Flood Coincidence Probability Copula Function Multivariable

摘要:

洪水遭遇是一个多变量水文事件,目前研究多限于对实测资料进行统计分析。基于二维copula函数分别建立嘉陵江干流北碚站与支流小河坝站、罗渡溪站、武胜站洪峰流量的联合分布。计算各站不同重现期的设计洪水,推求出对应的洪水遭遇概率。结果表明,嘉陵江流域低重现期洪水遭遇概率大于高重现期;同一重现期下,嘉陵江各支流与干流(北碚站)的洪水遭遇概率,渠江大于嘉陵江,涪江最低。此方法为计算洪水遭遇分析计算提供了一条新途径。

Flood coincidence probability is a multivariable hydrologic event. At present, the research is mostly limited to the statistical analysis of observed data. In this study, the annual maximum flood peak data of four hydrological stations in Jialing River and its tributaries, including the Beibei, Xiaoheba, Luoduxi and Wusheng station, are selected for case study. The bivariate copula functions are introduced and used to construct the joint distributions of flood peak. The design flood and flood coincidence probability are computed for different return periods. The result shows that the flood coincidence probability of high return periods is smaller than low return periods. The flood coincidence probability of Jialing River and its tributaries in the same return periods, Qujiang River is greater than Jialing River, and Fujiang River is among the smallest. This study will provide a new approach for Flood encounter analysis.

文章引用:
冉啟香, 彭畅, 凌旋. 基于Copula函数的嘉陵江流域干支流洪水遭遇分析[J]. 水资源研究, 2017, 6(5): 459-467. https://doi.org/10.12677/JWRR.2017.65054

参考文献

[1] 范可旭, 徐长江. 乌江洪水与长江三峡洪水遭遇研究[J]. 水文, 2010, 30(4): 63-65. FAN Kexu, XU Changjiang. Research on meeting of floods from Wujiang River and Three Gorges. Journal of China Hydrology, 2010, 30(4): 63-65. (in Chinese)
[2] 熊莹. 长江上游干支流洪水组成与遭遇研究[J]. 人民长江, 2012, 43(10): 42-45. XIONG Ying. Research on flood composition and encounter of main streams and tributaries in upper Yangtze River. Yangtze River, 2012, 43(10): 42-45. (in Chinese)
[3] 张洪刚, 郭海晋, 欧应钧. 长江流域洪水地区组成与遭遇规律研究[J]. 人民长江, 2013, 44(10): 62-65. ZHANG Honggang, GUO Haijin and OU Yingjun. Research on composition and encounter laws of flood in Yangtze River Basin. Yangtze River, 2013, 44(10): 62-65. (in Chinese)
[4] 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)
[5] 陈璐, 郭生练, 张洪刚, 等. 长江上游干支流洪水遭遇分析[J]. 水科学进展, 2011, 22(3): 323-330. CHEN Lu, GUO Shenglian, ZHANG Honggang, et al. Flood coincidence probability analysis for the upstream Yangtze River and its tributaries. Advances in Water Scinence, 2011, 22(3): 323-330. (in Chinese)
[6] 闫宝伟, 郭生练, 陈璐, 等. 长江和清江洪水遭遇风险分析[J]. 水利学报, 2010, 41(5): 553-559. YAN Baowei, GUO Shenglian, CHEN Lu, et al. Flood encountering risk analysis for the Yangtze River and Qingjiang River. Shuili Xuebao, 2010, 41(5): 553-559. (in Chinese)
[7] 关帅, 林颖妍, 查悉妮, 等. 基于Copula函数的韩江流域干支流洪水遭遇分析[J]. 中山大学学报(自然科学报), 2015, 54(5): 130-137. GUAN Shuai, LIN Yingyan, CHA Xini, et al. Copula function-based flood coincidence probability analysis for mainstream and tributary of the Hanjiang River basin. Journal of Sun Yat-sen University (Natural Science News), 2015, 54(5): 130-137. (in Chinese)
[8] 李天元, 郭生练, 栗飞, 等. 基于copula函数的非连续序列洪水频率分析[J]. 武汉大学学报(工学版), 2011, 44(6): 681-684. LI Tianyuan, GUO Shenglian, LI Fei, et al. Multivariate discontinuous flood frequency analysis using Copulas. Engineering Journal of Wuhan University, 2011, 44(6): 681-684. (in Chinese)
[9] 苗磊. 西汉水与嘉陵江干流洪水遭遇分析[J]. 地下水, 2011, 33(5): 145-146. MIAO Lei. Flood coincidence probability analysis for mainstream of the Xihanshui River and Jialing River. Ground Water, 2011, 33(5): 145-146. (in Chinese)
[10] GENEST, C., RIVEST, L.P. Statistical inference procedures for bivariate Archimedean copulas. Journal of the American Statistical Association, 1993, 88(423): 1034-1043.
[11] 莫淑红, 沈冰, 张晓伟, 等. 基于Copula函数的合川径流丰枯遭遇分析[J]. 西北农林科技大学学报, 2009, 37(6): 131-136. MO Shuhong, SHEN Bing, ZHANG Xiaowei, et al. Synchronous-asynchronous encounter probability of rich-poor runoff based on copula function. Journal of Northwest A&F University, 2009, 37(6): 131-136. (in Chinese)