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应用地球物理  2013, Vol. 10 Issue (1): 63-70    DOI: 10.1007/s11770-013-0361-9
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用于地震波场模拟的PML边界衰减因子研究
杨皓星,王红霞
国防科技大学理学院数学与系统科学系,湖南 长沙 410073
A study of damping factors in perfectly matched layers for the numerical simulation of seismic waves
Yang Hao-Xing1 and Wang Hong-Xia1
1. School of Science, National University of Defense Technology, Changsha 410073, China.
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摘要 在地震波场数值模拟中,为了消除由人为边界产生的边界反射,需要引进边界吸收条件。本文从声波方程完全匹配层吸收边界的经典方法出发,基于高斯函数任意阶光滑的特点,提出了一种高斯型衰减因子,分析比较该因子与一般衰减因子的性质,并基于均匀与层状速度模型分别进行了数值模拟计算。数值结果显示,当选择相同的PML边界吸收层层数时,高斯型衰减因子的吸收效果明显优于一般的衰减因子,边界反射更少,信噪比更高;对比最近提出的正弦型衰减因子,在信噪比接近的情况下,高斯型衰减因子所需的PML吸收层层数更少。
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杨皓星
王红霞
关键词: 地震波场模拟   完全匹配层PML   衰减因子     
Abstract: When simulating seismic wave propagation in free space, it is essential to introduce absorbing boundary conditions to eliminate reflections from artificially truncated boundaries. In this paper, a damping factor referred to as the Gaussian damping factor is proposed. The Gaussian damping factor is based on the idea of perfectly matched layers (PMLs). This work presents a detailed analysis of the theoretical foundations and advantages of the Gaussian damping factor. Additionally, numerical experiments for the simulation of seismic waves are presented based on two numerical models: a homogeneous model and a multi-layer model. The results show that the proposed factor works better. The Gaussian damping factor achieves a higher Signal-to-Noise Ratio (SNR) than previously used factors when using same number of PMLs, and requires less PMLs than other methods to achieve an identical SNR.
Key words:  simulation of seismic wave   perfectly matched layer (PML)   damping factor   
收稿日期: 2011-11-01;
基金资助:

本研究由国家自然科学基金(编号:61072118)资助。

引用本文:   
杨皓星,王红霞. 用于地震波场模拟的PML边界衰减因子研究[J]. 应用地球物理, 2013, 10(1): 63-70.
YANG Hao-Xing,WANG Hong-Xia. A study of damping factors in perfectly matched layers for the numerical simulation of seismic waves[J]. APPLIED GEOPHYSICS, 2013, 10(1): 63-70.
 
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