基于射线理论的海脊俘获波机制

万鹏; 王岗; 于洪荃; 张尧; 陶金波

doi:10.3969/j.issn.0253-4193.2019.11.004

基于射线理论的海脊俘获波机制

doi: 10.3969/j.issn.0253-4193.2019.11.004

万鹏^{1, 2,},
王岗^{1, 2, ,},
于洪荃²,
张尧³,
陶金波⁴

1.
海岸灾害及防护教育部重点实验室（河海大学），江苏南京 210098
2.
河海大学港口海岸与近海工程学院，江苏南京 210098
3.
自然资源部海洋减灾中心，北京 100194
4.
自然资源部北海预报中心，山东青岛 266061

基金项目: 国家重点研发计划（2017YFC1404205）；国家自然科学基金面上项目（51579090）；中央高校基本科研业务费专项（2019B12214）。

详细信息

作者简介:
万鹏（1994—），男，江西省南昌市人，主要从事水动力数值模拟方面研究。E-mail：1358471976@qq.com

通讯作者:
王岗（1982—），男，河北省张家口市人，副教授，博导，主要从事海洋灾害致灾机理及数值模型开发研究。E-mail：gangwang@hhu.edu.cn

中图分类号: P731.25
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- 文章访问数: 275
- HTML全文浏览量: 15
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- 被引次数: 0
出版历程
- 收稿日期: 2019-01-10
- 修回日期: 2019-05-15
- 网络出版日期: 2021-04-21
- 刊出日期: 2019-11-25

Mechanism of trapped wave over an ocean ridge based on the ray theory

Wan Peng^{1, 2
,},
Wang Gang^{1, 2
, ,},
Yu Hongquan²,
Zhang Yao³,
Tao Jinbo⁴

1.
Key Laboratory of Coastal Disaster and Defence (Hohai University), Ministry of Education, Nanjing 210098, China
2.
College of Harbour, Coastal and Offshore Engineering, Hohai University, Nanjing 210098, China
3.
National Marine Hazard Mitigation Service, Ministry of Natural Resources, Beijing 100194, China
4.
North China Sea Marine Forecasting Center, Ministry of Natural Resources, Qingdao 266061, China

摘要

摘要: 虽然众多现场实测资料和数值模拟均表明海脊可以俘获海啸波并引导其传播至远场地区，带来严重的灾害，但少有研究阐述其产生机理。本文基于射线理论，推导了指数型海脊上波浪传播轨迹的理论解，并提出了震源位于海脊顶部的海啸被海脊完全俘获的条件。基于该俘获条件进一步给出了海脊对海啸俘获效率的表达式，用以评估海啸中被海脊俘获影响至远场的能量占海啸总能量的比例。
- 俘获波 /
- 海脊 /
- 海啸 /
- 射线理论 /
- 波浪理论
Abstract: Although many on-site measures and numerical simulations indicate that ocean ridges can trap tsunami waves and guide them toward the far-field area, causing serious disasters, few studies have elaborated its mechanism. Based on the ray theory, this paper derives analytical solutions of the ray trajectory for trapped waves over the exponential ocean ridge. Furthermore, the completely trapped condition for tsunamis generated at top of the ridge is proposed. Based on such critical condition, the formulation of the trapped efficiency is derived to evaluate the ratio of the energy trapped by the ocean ridge to the total tsunami energy.
- trapped wave /
- ocean ridge /
- tsunami /
- ray theory /
- wave theory

HTML全文

图 1 指数型海脊剖面

Fig. 1 Exponential ridge profile

下载: 全尺寸图片幻灯片

图 2 射线轨迹示意图

Fig. 2 Ray trajectory diagram

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图 3 俘获效率示意图

Fig. 3 Capture efficiency diagram

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图 4 马里亚纳海岭剖面、拟合剖面及Chichijima实测的功率谱^[18]

Fig. 4 Mariana ridge profile, fitted profile and power spectrum observed at Chichijima^[18]

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图 5 不同入射角的射线由原点至海脊内外的运动轨迹

Fig. 5 The trajectories of rays with different incident angles from the origin to the ridge and beyond

下载: 全尺寸图片幻灯片

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