中国近海海浪有效周期与谱周期关系研究

Relationship Between Significant Wave Period and Spectral Periods in the Coastal Waters of China

  • 摘要: 海浪周期是海洋上层动力过程研究及海洋工程设计中的关键环境参数。海洋领域有多种海浪周期定义方法,不同周期之间常需利用经验公式进行换算。本文利用中国近海不同海域观测的3组海浪数据,分析了基于海面起伏零跨分析的海浪有效周期(Ts)与几种常用谱周期之间的统计关系。结果表明,Ts与部分谱周期之间的关系受海浪谱宽度与峰度影响,其中,Ts与海浪平均周期(T02)的关系与Longuet-Higgins谱宽度参量密切相关,而与谱峰周期(Tp)的关系与Goda谱峰度参量密切相关。基于这些结果,本文提出了2个TsT02Tp之间包含海浪谱形参量的换算公式。利用3组海浪数据的检验评估显示,新换算公式的综合性能均显著优于传统的线性拟合,其中,TsT02之间采用线性拟合的均方根偏差分别为0.28、0.48和0.28 s,而采用新换算公式的均方根偏差分别减小为0.18、0.16和0.12 s; TsTp之间采用线性拟合的均方根偏差分别为0.90、1.48和0.44 s,采用新换算公式的均方根偏差分别减小到0.63、0.80和0.32 s。

     

    Abstract: The wave period is a crucial environmental parameter in the study of upper ocean dynamic processes and the design of coastal engineering. There are various definitions of wave periods in the field of oceanography, and empirical formulas are often required for conversion between different periods. This study analyzes the statistical relationship between the significant wave period (Ts), derived from zero-crossing analysis of sea surface elevation, and several commonly used spectral periods, using three sets of wave data collected from the coastal waters of China. The results show that the relationships between Ts and spectral periods are significantly influenced by wave spectral shape parameters. Specifically, the ratio of Ts to the mean wave period (T02) is closely related to the Longuet-Higgins spectral bandwidth parameter, while the ratio of Ts to the peak period (Tp) is closely associated with the Goda spectral peakedness parameter. Based on these findings, this study proposes two conversion formulas between Ts and T02, as well as Tp, involving spectral shape parameters. Evaluations using three sets of wave data demonstrate that the newly proposed formulas significantly outperform traditional linear fitting methods in terms of performance. The root mean square deviations for Ts and T02 using linear fitting are 0.28, 0.48, and 0.28 s, while the new formulas reduce them to 0.18, 0.16, and 0.12 s, respectively. For Ts and Tp, the root mean square deviations with linear fitting are 0.90, 1.48, and 0.44 s, whereas the new formulas reduce them to 0.63, 0.80, and 0.32 s, respectively.

     

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