一种切比舍夫的同位方式,用于在水平分层的声弹性海洋波导中模拟地震声学正常模式
Yangfan Cai1, Guangli Cheng1, Bao Liu1
1Naval University of Engineering, Wuhan, China.
The Journal of the Acoustical Society of America
|February 24, 2026
概括
一种新的切比什夫聚合法 (CCM) 准确地在流体-固体介质中解决地震-声学正常模式方程. 这种方法提高了复杂的海洋环境中声波和地震波场的计算.
科学领域:
- 海洋声学 海洋声学
- 地震学 地震学
- 计算物理学的计算物理.
背景情况:
- 传统的正常模式模型通常将弹性海洋底部简化为流体,限制它们解决弹性模式和地震波场的能力.
- 在液体-固体介质中精确建模地震声学传播对于了解水下环境至关重要.
研究的目的:
- 提出一种新的切比什夫聚合法 (CCM),用于在任意分层的不均质流体-固体介质中解决地震声学正常模式模型.
- 克服现有模型在处理弹性海洋底部方面的局限性.
主要方法:
- 采用切比什夫聚合法 (CCM) 来分离压缩 (P波) 和剪切 (S波) 波的模态方程.
- 通过强制执行边界和接口条件 (流体-固体,固体-固体) 建立了一个复杂的矩阵固值系统.
- 水平波数和全深度模态函数是通过解决自值问题得到的,全波场是通过总和模态贡献来构建的.
主要成果:
- 拟议的CCM准确地计算了流体-固体介质中的声波和地震波场.
- 数学实验验证实了该方法的精度.
- 发现CCM的准确性与"rpress"相当,并且优于"kraken"和"krakenc".
结论:
- 切比舍夫对接法为复杂的流体-固体海洋环境中的地震声学正常模式传播提供了准确和有效的解决方案.
- 这种方法显著提高了在水下声学中模拟弹性波现象的能力.
- CCM为现有的地震声波波场计算模型提供了一个更强大的替代方案.
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