破碎波群间隔统计分布

基于一系列实验室风浪破碎实验,讨论破碎波群间隔的统计分布。实验时风速分别设定在6～9 m/s间几个不同的风速水平,破碎波群间隔定义为两个相继发生破碎的波群中破碎首发时刻之间的时间间隔,破碎依据波面信号和实验者同步记录的破碎标记信号判别,分布拟合检验采用Kolmogorov-Smirnov检验。数据分析结果表明:1)所有实验信号的破碎波群间隔都服从Gamma分布;2)低风速情形的破碎波群间隔大多服从指数分布——Gamma分布的一种特殊情形;3)相同实验条件下的破碎波群间隔具有相同的分布。这意味着破碎波群的发生可以视为一种更新过程。

Statistical distribution for time intervals between breaking wave groups

Based on a series of laboratory experiments on wind wave breaking, the distribution of time intervals between successive breaking wave groups is discussed. The wind speeds are different between 6 and 9 m/s. Here, breaking intervals are defined as the time intervals between the moment of the first breaker in the two successive breaking groups. Breaking waves are identified by wave surface displacement and breaking marks record. Kolmogorov Smirnov test is applied for distribution fitting test. The results from a series of hypothesis tests suggest that: 1)it is accepted that the distribution of time intervals between successive breaking wave groups is Gamma distribution, which is true for all the experiments; and 2) under low wind speed, it would be exponential distribution, a special case of Gamma distribution; 3)distributions for time intervals between successive breaking wave groups under the same experimental conditions are identical. These results imply that the wind wave breaking observed at a fixed position can be viewed as a renewal process.