基于蒙特卡洛法的波浪极值推算不确定性分析*
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国家重点研发计划项目(2022RDC2012301)


Uncertainty analysis of wave extreme value estimation based on the Monte Carlo method
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    摘要:

    港口防波堤的设计标准一般需要通过推算波浪极值来确定,然而极值推算具有一定的不确定性。为了清晰地了解和把握推算结果的不确定性,分析观测误差、数据量和推算模型3种因素对推算结果造成的影响。基于蒙特卡洛法生成随机样本模拟3种因素,分别对应极值推算中的物理不确定性、统计不确定性和模型不确定性。结果表明,物理不确定性越大,极值推算结果越不稳定并有略微增大的趋势,且对短重现期极值的影响更大。较大的样本容量具有较小的统计不确定性,对于长重现期极值影响更大。对于短重现期,Pearson-III分布具有较小的模型不确定性;对于长重现期,Weibull分布具有较小的模型不确定性。

    Abstract:

    The design standards of port breakwaters are generally determined by calculating the extreme values of waves,but the calculation of extremes has a certain degree of uncertainty.To clearly understand and grasp of the uncertainty of the calculation results,the influences of three factors,namely observation errors,data volume and calculation models,on the calculation results are analyzed.Based on the Monte Carlo method,stochastic samples are generated to simulate these three factors,corresponding to the physical uncertainty,statistical uncertainty,and model uncertainty in the extreme wave calculation.The results show that the greater the physical uncertainty,the more unstable the extreme wave calculation results are and there is a slight increasing trend,and the impact on short return period extreme waves is greater.Moreover,a larger sample size has smaller statistical uncertainty and has a greater impact on long return period extreme waves.For short return periods,the Pearson-III distribution has smaller model uncertainty,and for long return periods,the Weibull distribution has smaller model uncertainty.

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闫志铎,夏运强,段成林,等.基于蒙特卡洛法的波浪极值推算不确定性分析*[J].水运工程,2026(2):29-36.

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  • 在线发布日期: 2026-03-05
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