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基于R/S分析的碎波带波面标度不变性研究
引用本文:李志强.基于R/S分析的碎波带波面标度不变性研究[J].广东海洋大学学报,2012(4):63-66.
作者姓名:李志强
作者单位:广东海洋大学工程学院,广东 湛江 524088
基金项目:国家自然科学基金资助项目(40806036);广东省学科建设专项资金资助项目(育苗工程)
摘    要:波浪经破碎、折射、绕射等过程后进入到碎波带,波面已经不再满足经典波浪理论的正态分布假设.利用R/S分析方法对碎波带波面的进行分析,揭示碎波带波面具有标度不变性特征,波面序列具有“记忆性”和持久性,其Hurst指数为0.76,这对建立和解释碎波带波面及波高概率分布有指示意义.进一步分析后指出Hurst指数H和谱尖度参量Qp 及波群参数Ka 呈显著的负相关,Hurst指数有可能作为反映碎波带状态的一个参数.

关 键 词:波面  碎波带  分形  R/S分析  标度不变性

Investigating the Scale Invariance of Wave Surface in the Surf zone by Rescaled Range Analysis
LI Zhi-qiang.Investigating the Scale Invariance of Wave Surface in the Surf zone by Rescaled Range Analysis[J].Journal of Zhanjiang Ocean University,2012(4):63-66.
Authors:LI Zhi-qiang
Institution:LI Zhi-qiang(Ocean Engineering Department of Guangdong Ocean University,Zhanjiang 524088,China)
Abstract:After the processes of breaking,refraction and diffraction,the wave surfaces in the surf zone are no longer satisfied with the normal distribution assumption of classical wave theory.By the method of R/S analysis,the wave surface scale invariance in the surf zone was investigated.The results show that wave surface in the surf zone has characteristics of "memory" and persistence with a mean Hurst index of 0.76,which are important to establish and explain wave height probability distribution in the surf zone.Further analysis reveals that the Hurst index H has significant negative correlations with spectral peakness parameters Qpand wave group parameters Ka,so the Hurst index may be a parameter of surf zone state.
Keywords:wave surface  surf zone  fractal  rescaled range analysis  scale invariant
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