刘财,
吉林大学地球探测科学与技术学院, 长春 130026
基金项目: 国家自然科学基金项目（41874125，41522404）资助
详细信息
作者简介: 罗玉钦, 男, 在读研究生, 主要从事地震波正反演研究.E-mail:luoyq1994@163.com
通讯作者: 刘财, 男, 教授, 主要从事地震波正反演研究.E-mail:liucai@jlu.edu.cn
中图分类号: P631收稿日期:2019-01-18
修回日期:2019-06-29
上线日期:2020-08-05
On the stability and absorption effect of the multiaxial complex frequency shifted nearly perfectly matched layers method for seismic wave propagation
LUO YuQin,LIU Cai,
College of Geo-exploration Science and Technology, Jilin University, Changchun 130026, China
More Information
Corresponding author: LIU Cai,E-mail:liucai@jlu.edu.cn
MSC: P631--> Received Date: 18 January 2019
Revised Date: 29 June 2019
Available Online: 05 August 2020
摘要
摘要:在进行地震波模拟计算的过程中用有限的计算区域模拟地下无限空间，需要进行边界截断.为了在边界处不产生虚假反射影响模拟结果，需要引入吸收边界条件.本文采用的近似完全匹配层是一种新型非分裂完全匹配层，计算效率较高.同时相比于其他非分裂完全匹配层，其还具有不改变方程的形式、易于实现等优势.但是当入射波角度较大，边界吸收效果变弱，且残留在边界中的能量使近似完全匹配层变得极其不稳定.多轴复频移近似完全匹配层的提出就是为了改善对大角度入射波的吸收并且提高边界的稳定性.通过实验模拟和矩阵特征值灵敏度来研究多轴复频移近似完全匹配层的吸收效果及稳定性.结果表明该方法不仅能够吸收掠入波，而且对常规入射波的吸收也得到提升，同时拥有更好的稳定性.
关键词: 完全匹配层/
地震波模拟/
多轴/
复频移
Abstract:In the process of seismic wave simulation calculation, a limited calculation area is used to simulate the underground infinite space, and boundary truncation is required. In order to prevent false reflections at the boundary which will affect the simulation results, it is necessary to introduce absorption boundary conditions. The nearly perfectly matched layer (NPML) used in this paper is a new type of non-split perfect matched layer with high computational efficiency. At the same time, it does not change the form of the equation and is easier to implement than other non-split perfectly matched layers. However, when the incident wave angle is large, the boundary absorption effect becomes weak, and the energy remaining in the boundary makes the nearly perfect matched layer extremely unstable. The multiaxial complex frequency shifted-NPML (MCFS-NPML) is proposed to improve the absorption of large angle incident waves and the stability of the boundary. The absorption effect and stability of MCFS-NPML were studied by experimental simulation and matrix eigenvalue sensitivity. The results show that the method can not only absorb the grazing wave, but also improve the absorption of the normal incident wave, and has better stability.
Key words:Perfectly matched layers/
Simulation of seismic wave/
Multiaxial/
Complex frequency shifted
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