基于R/S分析的碎波带波面标度不变性研究  

Investigating the Scale Invariance of Wave Surface in the Surf zone by Rescaled Range Analysis

作　　者：李志强[1] 

机构地区：[1]广东海洋大学工程学院,广东湛江524088

出　　处：《广东海洋大学学报》2012年第4期63-66,共4页Journal of Guangdong Ocean University

基　　金：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。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.

关 键 词：波面 碎波带 分形 R/S分析 标度不变性 

分 类 号：P731.22[天文地球—海洋科学]