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基于Boussinesq方程的海啸生成数学模拟
Mathematical simulations of tsunami generation by using Boussinesq equations
【Author】 ZHAO Xi WANG Ben-long LIU Hua (School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiaotong University,Shanghai 200030,China)
【机构】 上海交通大学船舶海洋与建筑工程学院;
【摘要】 研究了由海底地震引起的海啸的生成和传播过程.根据海底地震的基本特征, 建立了海底光滑变形的数学模型,采用高阶 Boussinesq 方程计算了海底变形引起的表面波动形态.运用高阶 Boussinesq 水波模型和波浪爬高模型,针对冲绳海沟和东海大陆架的实际地形,模拟了海沟内不同震级的海底地震激发的海啸,分析了地震强度和地震速度对表面波扰动形态及其色散效应的影响,并模拟了海啸波在东海大陆架上的传播过程以及在近岸地区的爬高.
【Abstract】 Tsunami generated by submarine smoothly raised slides is studied by the Boussinesq equations based numerical simulation.According to the basic characteristics of the submarine earthquakes,mathematical models of the submarine smoothly slides have been established.Waveforms motivated by the deformation of seabed have been calculated by using high-order Boussinesq equations.Based on the Boussinesq wave model and runup model, tsunami motivated by different magnitudes of submarine earthquakes in Okinawa Trench are computed.The nonlinear and dispersive characteristics of waves due to different intensity and velocity of earthquakes are discussed.For the case of the East China Sea and Okinawa Trench, the tsunami waveforms motivated by undersea earthquakes are computed.Generation,evolution and runup of the tsunami are simulated.
【Key words】 tsunami; Boussinesq equations; trench; undersea earthquake;
- 【会议录名称】 第二十届全国水动力学研讨会文集
- 【会议名称】第二十届全国水动力学研讨会
- 【会议时间】2007-08
- 【会议地点】中国北京
- 【分类号】P731.26
- 【主办单位】上海《水动力学研究与进展》杂志社