长江流域资源与环境 >> 2026, Vol. 35 >> Issue (2): 524-.doi: 10.11870/cjlyzyyhj202602019

• 自然灾害 • 上一篇    下一篇

基于Copula函数的上海地区雨洪潮遭遇概率研究

王文鹏1,2,袁亚玲1,赵庚润3,刘敏4,李琪5,陈元芳1,黄琴1*   

  1. (1.河海大学水文水资源学院,江苏 南京 210098;2.水利部水利大数据重点实验室,江苏 南京 211100;3.上海市水利工程设计研究院有限公司,上海 200061;4. 太湖流域管理局水文局(信息中心),上海 200434;5. 上海市水文总站,上海 200232)
  • 出版日期:2026-02-20 发布日期:2026-02-26

Joint Probability of Rainfall-Flood-Tide Encounters in Shanghai Using Copula Functions

WANG Wen-peng1,2, YUAN Ya-ling1, ZHAO Geng-run3, LIU Min4, LI Qi5, CHEN Yuan-fang1, HUANG Qin1   

  1. (1.College of Hydrology and Water Resources, Hohai University, Nanjing 210098, China; 2.Key Laboratory of Water Big Data Technology of Ministry of Water Resources Nanjing 211100, China; 3.Shanghai Water Engineering Design and Research Institute Company Limited, Shanghai 200061, China; 4.Bureau of Hydrology (Information Center) of Taihu Basin Authority, Shanghai 200434, China; 5.Shanghai Hydrology Station, Shanghai 200232, China)
  • Online:2026-02-20 Published:2026-02-26

摘要: 江河交汇之处的城市普遍遭受本地暴雨叠加上游洪水及外潮顶托威胁,探明雨洪潮遭遇规律,是城市防洪安全设计的必要条件。采用Copula函数理论,分析上海地区遭暴雨、太湖来洪、吴淞口高潮顶托的联合分布律,估计最可能雨洪潮组合情景。结果表明:Frank型Copula联结P-III型边际分布是描述雨洪潮遭遇分布律的最优模式;按联合概率计,雨洪潮各按千年一遇设防只相当于联合防御重现期333年一遇;按同现概率计,变量独立条件下明显高估了同现重现期,考虑变量相关性2000年以来严重威胁上海的菲特、麦莎、烟花台风,雨洪潮同现重现期依次降至1200、131、69年一遇,仍可能再次发生;暴雨遭遇洪潮组合的条件分布律呈现暴雨愈大洪潮愈高的特点。结果可为上海地区防洪安全设计提供参考,提高对雨洪潮随机并发致洪的防御能力。

Abstract: Cities near river confluences are often vulnerable to local heavy rainfall, upstream floods, and downstream tidal backwater impacts.Understanding the encounter pattern of rainfall, flood, and tide is crucial for designing effective urban flood control systems.In this study, the Copula function theory was employed to analyze the joint distribution of heavy local rainfall, large upstream flood from Taihu Lake, and high tide level at the downstream confluence Wusongkou in Shanghai.Subsequently, the most probable scenarios of rainfall-flood-tide combinations were estimated.The results indicated that the Frank copula, in conjunction with the P-III marginal distribution, was the most effective model for characterizing the distribution of rainfall-flood-tide encounters.The joint defense return period was only equivalent to 333 years given that the flood control measures for local rainfall, upstream flood, and downstream tide backwater impact were designed to prevent 1000-year return period event.The co-occurrence return period of rainfall-flood-tide encounters was substantially overestimated under the assumption of variable independence.In consideration of variable dependence, the return periods for the Fitow, In-Fa, and Matsa typhoons, which significantly impacted Shanghai since 2000, had been declined to 1691, 122, and 100 years, respectively.Similar events might occur again.The conditional distribution of local rainfall in conjunction with upstream flood and downstream tide level demonstrated a negative feature, ie, flood and tidal levels might rise as the intensity of rainfall increased.These findings served as a reference for the design of the flood control system in the Shanghai area, to enhance the defense capability against random concurrent flood caused by local rainfall, upstream flood, and downstream tidal backwater impact

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