Journal of Marine Sciences ›› 2023, Vol. 41 ›› Issue (3): 73-82.DOI: 10.3969/j.issn.1001-909X.2023.03.007
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LIU Guilin1(), FANG Dan1, SONG Shichun2,*(
), LIU Bohu3
Received:
2022-10-27
Revised:
2023-05-05
Online:
2023-09-15
Published:
2023-10-24
CLC Number:
LIU Guilin, FANG Dan, SONG Shichun, LIU Bohu. Calculation of design wave height and its application base on independent sample[J]. Journal of Marine Sciences, 2023, 41(3): 73-82.
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URL: http://hyxyj.sio.org.cn/EN/10.3969/j.issn.1001-909X.2023.03.007
样本 | 尾部指数 | 均值/m | 方差/m2 | 偏度/m3 | 峰度/m3 |
---|---|---|---|---|---|
波高过阈样本 | 3.059 | 4.351 | 1.798 | 1.092 | 3.124 |
波高年极值样本 | 9.958 | 4.610 | 2.611 | 0.437 | 2.354 |
Tab.1 Main statistical characteristics of samples
样本 | 尾部指数 | 均值/m | 方差/m2 | 偏度/m3 | 峰度/m3 |
---|---|---|---|---|---|
波高过阈样本 | 3.059 | 4.351 | 1.798 | 1.092 | 3.124 |
波高年极值样本 | 9.958 | 4.610 | 2.611 | 0.437 | 2.354 |
样本 | 分布模型 | 参数 | 参数估计值 | K-S检验的p值 |
---|---|---|---|---|
波高过阈 样本 | Gumbel-Pareto 分布 | β | 2.839 | 0.807 |
α | 1.695 | |||
σ | 3.677 | |||
Gumbel 分布 | 尺度 | 0.894 | 0.419 | |
位置 | 3.772 | |||
GPD | 形状 | 0.076 | 0.322 | |
尺度 | 2.120 | |||
位置 | 2.900 | |||
波高年极值 样本 | Gumbel-Pareto 分布 | β | 2.497 | 0.305 |
α | 0.970 | |||
σ | 3.584 | |||
Gumbel 分布 | 尺度 | 1.362 | 0.689 | |
位置 | 3.855 | |||
GPD | 形状 | 0.268 | 0.272 | |
尺度 | 3.110 | |||
位置 | 1.500 |
Tab.2 Results of parameters’ estimation and K-S tests
样本 | 分布模型 | 参数 | 参数估计值 | K-S检验的p值 |
---|---|---|---|---|
波高过阈 样本 | Gumbel-Pareto 分布 | β | 2.839 | 0.807 |
α | 1.695 | |||
σ | 3.677 | |||
Gumbel 分布 | 尺度 | 0.894 | 0.419 | |
位置 | 3.772 | |||
GPD | 形状 | 0.076 | 0.322 | |
尺度 | 2.120 | |||
位置 | 2.900 | |||
波高年极值 样本 | Gumbel-Pareto 分布 | β | 2.497 | 0.305 |
α | 0.970 | |||
σ | 3.584 | |||
Gumbel 分布 | 尺度 | 1.362 | 0.689 | |
位置 | 3.855 | |||
GPD | 形状 | 0.268 | 0.272 | |
尺度 | 3.110 | |||
位置 | 1.500 |
重现期/年 | 设计波高/m | ||
---|---|---|---|
Gumbel-Pareto分布 | Gumbel分布 | GPD | |
20 | 6.037 | 5.904 | 7.646 |
50 | 7.346 | 6.748 | 10.060 |
100 | 8.500 | 7.376 | 11.990 |
500 | 11.890 | 8.821 | 16.910 |
Tab.3 20-, 50-,100-, 500-year return levels of design wave height calculated by different distribution models
重现期/年 | 设计波高/m | ||
---|---|---|---|
Gumbel-Pareto分布 | Gumbel分布 | GPD | |
20 | 6.037 | 5.904 | 7.646 |
50 | 7.346 | 6.748 | 10.060 |
100 | 8.500 | 7.376 | 11.990 |
500 | 11.890 | 8.821 | 16.910 |
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