Application of a perfectly matched layer in seismic wavefield simulation with an irregular free surface

doi:10.1111/1365-2478.12260

CORC > 地质与地球物理研究所 > 中国科学院地质与地球物理研究所 > 岩石圈演化国家重点实验室

	Application of a perfectly matched layer in seismic wavefield simulation with an irregular free surface
	Lan, Haiqiang 1; Chen, Jingyi 1; Zhang, Zhongjie 2; Liu, Youshan 2; Zhao, Jianguo 3; Shi, Ruiqi 3
刊名	GEOPHYSICAL PROSPECTING
	2016
卷号	64 期号:1 页码:112-128
关键词	Perfectly matched layer Irregular free surface Finite-difference Seismic wavefield
DOI	10.1111/1365-2478.12260
文献子类	Article
英文摘要	Recently, an effective and powerful approach for simulating seismic wave propagation in elastic media with an irregular free surface was proposed. However, in previous studies, researchers used the periodic condition and/or sponge boundary condition to attenuate artificial reflections at boundaries of a computational domain. As demonstrated in many literatures, either the periodic condition or sponge boundary condition is simple but much less effective than the well-known perfectly matched layer boundary condition. In view of this, we intend to introduce a perfectly matched layer to simulate seismic wavefields in unbounded models with an irregular free surface. We first incorporate a perfectly matched layer into wave equations formulated in a frequency domain in Cartesian coordinates. We then transform them back into a time domain through inverse Fourier transformation. Afterwards, we use a boundary-conforming grid and map a rectangular grid onto a curved one, which allows us to transform the equations and free surface boundary conditions from Cartesian coordinates to curvilinear coordinates. As numerical examples show, if free surface boundary conditions are imposed at the top border of a model, then it should also be incorporated into the perfectly matched layer imposed at the top-left and top- right corners of a 2D model where the free surface boundary conditions and perfectly matched layer encounter; otherwise, reflections will occur at the intersections of the free surface and the perfectly matched layer, which is confirmed in this paper. So, by replacing normal second derivatives in wave equations in curvilinear coordinates with free surface boundary conditions, we successfully implement the free surface boundary conditions into the perfectly matched layer at the top-left and top-right corners of a 2D model at the surface. A number of numerical examples show that the perfectly matched layer constructed in this study is effective in simulating wave propagation in unbounded media and the algorithm for implementation of the perfectly matched layer and free surface boundary conditions is stable for long-time wavefield simulation on models with an irregular free surface.
WOS关键词	ABSORBING BOUNDARY-CONDITIONS ; FINITE-DIFFERENCE SCHEMES ; NUMERICAL-SIMULATION ; GRAZING-INCIDENCE ; ELASTIC-WAVES ; TOPOGRAPHY ; EQUATIONS ; MEDIA ; PROPAGATION ; PML
WOS研究方向	Geochemistry & Geophysics
语种	英语
WOS记录号	WOS:000369417500010
资助机构	department of Geosciences at the University of Tulsa ; department of Geosciences at the University of Tulsa ; National Natural Science Foundation of China(41404073) ; National Natural Science Foundation of China(41404073) ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; department of Geosciences at the University of Tulsa ; department of Geosciences at the University of Tulsa ; National Natural Science Foundation of China(41404073) ; National Natural Science Foundation of China(41404073) ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/62086]
专题	地质与地球物理研究所_岩石圈演化国家重点实验室
作者单位	1.Univ Tulsa, Dept Geosci, Tulsa, OK 74104 USA 2.Chinese Acad Sci, Inst Geol & Geophys, State Key Lab Lithospher Evolut, Beijing 100029, Peoples R China 3.China Univ Petr, Coll Geophys & Informat Engn, Beijing 102249, Peoples R China
推荐引用方式 GB/T 7714	Lan, Haiqiang,Chen, Jingyi,Zhang, Zhongjie,et al. Application of a perfectly matched layer in seismic wavefield simulation with an irregular free surface[J]. GEOPHYSICAL PROSPECTING,2016,64(1):112-128.
APA	Lan, Haiqiang,Chen, Jingyi,Zhang, Zhongjie,Liu, Youshan,Zhao, Jianguo,&Shi, Ruiqi.(2016).Application of a perfectly matched layer in seismic wavefield simulation with an irregular free surface.GEOPHYSICAL PROSPECTING,64(1),112-128.
MLA	Lan, Haiqiang,et al."Application of a perfectly matched layer in seismic wavefield simulation with an irregular free surface".GEOPHYSICAL PROSPECTING 64.1(2016):112-128.