海浪波高序列的长期相关性及自仿射结构
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摘要: 本文用尺度重整分析法对渤海实测海浪波高序列进行了分析,发现波高序列满足H=0.65的Hurst律.由此得到结论:海浪波高并非相互独立的随机序列,而是具有长期相关性的随机序列.应用分形几何对波高序列的分析表明,波高序列的长期相关性在几何上有下述重要的结论:波高序列的离均累积值X(t)具有统计自仿射的几何相似结构,且其分维数D=2-H=1.35.
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Loguet-Higgins M S.On the statistical distribution of the heights of sea waves.J.Mar.Res.,1952.11(3):245-266 文圣常,余宙文.海浪理论与计算原理.北京:科学出版社,1984,161-194 Loguet-Higgins M S.The statistical analysis of a random movtng surface.Phil.Trans Roy.Soc.London,A,1957,249(966):321-387 Cartwright D E and M S Longuet-Higgins.The statistical distribution of the maxima of a random function.Proc.Roy.Soc.,1956,237(1209):212-232 Shen Z and Mei L.Equilibrium spectra of water waves forced by intermittent wind turbulence.J.Phys.Oceanogr.,1993,23(9):2019-2026 Forristall G Z.On the statistical distribution of wave heights in a storm.J.(Ueophys.Res.,1978,3(C5):2353-2358 Mandelbrot B B and J R Wallis.Robustness of the resealed range R/S in the measurement of noncyclic long run statistical dependence.Water Resour.Res.,1969,5(5):967-988 Hurst H E,R P Black and Y M Simaika.Long-term storage; an experimental stude.Constable,London,1965 Feeler J.Fractals.Plenum Press,New York and London,1988,149-199 Mandelbrot B B and J R Wallis.Some long-run properties of geophysical records.Water Resour.Res.,1969,5(2):321-340 Hamilton J and W H Hui.A statistical model for groupiness in wind waves.J.Geophys.Res.,1979.84(C8):4875-4884 -
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