基于重力作用下改进耦合方程的地震波和海啸二维 FDM 仿真

IF 1.9 4区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS pure and applied geophysics Pub Date : 2024-04-09 DOI:10.1007/s00024-024-03468-2
Masayoshi Someya, Shingo Watada, Takashi Furumura
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引用次数: 0

摘要

为了了解海底观测网络同时记录到的地震波和海啸的特征,必须在存在重力的情况下模拟固体地球和海洋之间的耦合。然而,以往的耦合模拟采用的是近似方程,没有充分考虑重力的影响。在这项研究中,我们推导出了重力作用下的正确线性化治理方程,并与之前的研究进行了比较。采用有限差分法(FDM)对二维 P-SV 波场进行了数值实验。为了验证计算海啸的准确性,我们使用传播矩阵计算了理论海啸弥散关系,并将其与我们的结果和之前的研究结果进行了比较。我们发现,与之前的研究相比,我们提出的方法能提供更精确的结果,尤其是在短周期波段。我们还通过研究长周期波段海啸相位速度计算结果与理论结果之间的差异,研究了所提方法对远距离海啸的适用性。所提出的方法能提供准确的结果,并能将重力适当地纳入地震波和海啸的同步模拟中。
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2D FDM Simulation of Seismic Waves and Tsunamis Based on Improved Coupling Equations Under Gravity

To understand the characteristics of seismic waves and tsunamis recorded simultaneously by the ocean-bottom observation networks, the coupling between the solid Earth and the ocean has to be modeled in the presence of gravity. However, previous coupled simulations adopted approximate equations that did not fully incorporate the effects of gravity. In this study, we derived correctly linearized governing equations under gravity and compared them with those of previous studies. Numerical experiments were performed for a two-dimensional P-SV wavefield, using the finite difference method (FDM). To validate the accuracy of the calculated tsunamis, we computed the theoretical tsunami dispersion relation using a propagator matrix and compared it with our results and those of previous studies. We found that our proposed method provided more accurate results than those of previous studies, particularly in the short-period band. We also investigated the applicability of the proposed method to distant tsunamis by examining the difference between calculated and theoretical tsunami phase velocities in the long-period band. The proposed formulation provides accurate results that properly incorporate gravity into the simultaneous simulation of seismic waves and tsunamis.

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来源期刊
pure and applied geophysics
pure and applied geophysics 地学-地球化学与地球物理
CiteScore
4.20
自引率
5.00%
发文量
240
审稿时长
9.8 months
期刊介绍: pure and applied geophysics (pageoph), a continuation of the journal "Geofisica pura e applicata", publishes original scientific contributions in the fields of solid Earth, atmospheric and oceanic sciences. Regular and special issues feature thought-provoking reports on active areas of current research and state-of-the-art surveys. Long running journal, founded in 1939 as Geofisica pura e applicata Publishes peer-reviewed original scientific contributions and state-of-the-art surveys in solid earth and atmospheric sciences Features thought-provoking reports on active areas of current research and is a major source for publications on tsunami research Coverage extends to research topics in oceanic sciences See Instructions for Authors on the right hand side.
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