QQ客服 官方微博 反馈留言

	A nearly analytic exponential time difference method for solving 2D seismic wave equations
	Xiao Zhang ; Dinghui Yang ; Guojie Song ; Xiao Zhang ; Dinghui Yang ; Guojie Song
	2016-03-30 ; 2016-03-30
关键词	ETD Lie group method Numerical approximations and analysis Computational seismology Numerical dispersion Nearly analytic discrete operator O241.3
其他题名	A nearly analytic exponential time difference method for solving 2D seismic wave equations
中文摘要	In this paper, we propose a nearly analytic exponential time difference(NETD) method for solving the 2D acoustic and elastic wave equations. In this method, we use the nearly analytic discrete operator to approximate the high-order spatial differential operators and transform the seismic wave equations into semi-discrete ordinary differential equations(ODEs). Then, the converted ODE system is solved by the exponential time difference(ETD) method. We investigate the properties of NETD in detail, including the stability condition for 1-D and 2-D cases, the theoretical and relative errors, the numerical dispersion relation for the 2-D acoustic case, and the computational efficiency. In order to further validate the method, we apply it to simulating acoustic/elastic wave propagation in multilayer models which have strong contrasts and complex heterogeneous media, e.g., the SEG model and the Marmousi model. From our theoretical analyses and numerical results, the NETD can suppress numerical dispersion effectively by using the displacement and gradient to approximate the high-order spatial derivatives. In addition, because NETD is based on the structure of the Lie group method which preserves the quantitative properties of differential equations, it can achieve more accurate results than the classical methods.; In this paper, we propose a nearly analytic exponential time difference(NETD) method for solving the 2D acoustic and elastic wave equations. In this method, we use the nearly analytic discrete operator to approximate the high-order spatial differential operators and transform the seismic wave equations into semi-discrete ordinary differential equations(ODEs). Then, the converted ODE system is solved by the exponential time difference(ETD) method. We investigate the properties of NETD in detail, including the stability condition for 1-D and 2-D cases, the theoretical and relative errors, the numerical dispersion relation for the 2-D acoustic case, and the computational efficiency. In order to further validate the method, we apply it to simulating acoustic/elastic wave propagation in multilayer models which have strong contrasts and complex heterogeneous media, e.g., the SEG model and the Marmousi model. From our theoretical analyses and numerical results, the NETD can suppress numerical dispersion effectively by using the displacement and gradient to approximate the high-order spatial derivatives. In addition, because NETD is based on the structure of the Lie group method which preserves the quantitative properties of differential equations, it can achieve more accurate results than the classical methods.
语种	英语 ; 英语
内容类型	期刊论文
源URL	[http://ir.lib.tsinghua.edu.cn/ir/item.do?handle=123456789/145995]
专题	清华大学
推荐引用方式 GB/T 7714	Xiao Zhang,Dinghui Yang,Guojie Song,et al. A nearly analytic exponential time difference method for solving 2D seismic wave equations[J],2016, 2016.
APA	Xiao Zhang,Dinghui Yang,Guojie Song,Xiao Zhang,Dinghui Yang,&Guojie Song.(2016).A nearly analytic exponential time difference method for solving 2D seismic wave equations..
MLA	Xiao Zhang,et al."A nearly analytic exponential time difference method for solving 2D seismic wave equations".(2016).

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。