瑞利面波数值模拟中的PML吸收边界条件
熊章强1 ,唐圣松1 ,张大洲2
1.中南大学 信息物理工程学院,湖南 长沙 410083;2.中国地质大学 地球物理与空间信息学院,湖北 武汉 430074
PML ABSORBING BOUNDARY CONDITION FORNUMERICAL MODELING OF RAYLEIGH WAVE
XIONG Zhangqiang 1 ,TANG Shengsong 1 , ZHANG Dazhou 2
1.School of Info-Physics and Geometrics Engineering, Central South University, Changsha 410083, China;
2.Institute of Geophysics and Geomantics, China University of Geosciences, Wuhan 430074, China
摘要 建立了弹性介质情况下完全匹配层(PML)吸收边界的2×12阶速度—应力交错网格有限差分算法,讨论了PML吸收边界条件的构建及
其有限差分算法实现。通过与未加吸收边界及加常规指数衰减吸收边界3种情况下比较的波场模拟计算表明, PML吸收边界具有吸收更干净
且能够吸收各种角度的边界反射等优点,其吸收率(吸收能量与未吸收能量之比)达到99.99%,很好地消除了周期折叠效应,使得所要计
算的波场特征变得非常清晰,瑞利面波清楚地显示在波形记录上。
Abstract :The algorithm of the finite difference oforder velocitystress staggered grids has been built, which is
suitable for the perfectly matched layer (PML) absorbing boundary for elastic media. Meanwhile, the construction of the
PML absorbing boundary condition and the realization of the finitedifference algorithm are discussed in detail. Wave
field modeling calculations show that, compared with the conventional decaying exponential absorbing boundary and non
absorbing boundary, the PML absorbing boundary can perform absorption much more clearly and absorb the boundary
reflection from various angles, whose absorptivity (the ratio of absorption energy to unabsorbable energy) can reach
99.99%. The PML absorbing boundary can well eliminate the periodic folding effects, which makes the calculation of the
wave field characteristics very distinct, and the Rayleigh wave can be clearly shown in the waveform record.
收稿日期: 2008-09-16
出版日期: 2009-09-15
基金资助: 江西省自然科学基金项目(05560003)和江西省科技攻关项目联合资助
通讯作者:
熊章强(1963-),男,教授,博士,主要从事工程地球物理地震勘探方向的教学与研究工作,公开发表学术论文数篇。
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