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有效波高的非线性统计及在南海卫星高度计中的应用
侯一筠¹, 卢筠², 李明悝¹, 何宜军¹, 尹宝树¹, 苏京志¹, 程明华¹
1.中国科学院海洋研究所青岛266071;2.天津工业大学天津300191

摘要:

在已获得的海浪非线性波面概率模式的基础上通过Ochi关系,导出了一种有效波高的非线性统计分布。分析表明,本研究结果既推广了有效波高的双参数对数-正态分布,又能够以波陡作为有效波高的非线性控制参量来体现概率分布形式的变化。此研究应用于南海卫星高度计的资料分析,获得了理论与现场数据较为吻合的结果。

关键词: 有效波高概率分布卫星高度计

DOI：

分类号:

基金项目:国家自然科学基金资助项目49876007号;高等学校重点实验室访问基金;国家863资助项目818-06-01号

A NONLINEAR STATISTIC OF SIGNIFICANT WAVE HEIGHT AND ITS APPLICATION INANALYZING TOPEX ALTIMETER DATA FROM THE SOUTH CHINA SEA

HOU Yi-Jun¹, LU Jun², LI Ming-Kui¹, HE Yi-Jun¹, YIN Bao-Shu¹, SU Jing-Zhi¹, CHENG Ming-Hua¹

1.Institute of Oceanology, The Chinese Academy of Sciences, Qingdao, 266071;2.Industry University of Tianjin, Tianjin, 300191

Abstract:

Based on the model of probability statistics of random wave surface, using the relation of Ochi, a nonlinear statistical distribution of significant wave height is obtained:

f(H)=1/[square root(2π)Hβ]|1-[(δ/β)ln(H/α)]|e^{-[(δ/β)ln(H/α)]}e^{[-1/(2β²)]ln²(H/α)exp[-2δ/βln(H/α)]}

The results of the study not only extend the two parameters logarithm-Gaussian distribution of significant wave height, but also describe the change of the statistical distribution by using the wave steepness as the nonlinear control parameter of significant wave height. Applying the result to the analysis of TOPEX altimeter data in the South China Sea, the theoretical results are identical to the data.

Key words: Significant wave height, Statistical distribution, TOPEX altimeter

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