An optimal implicit staggered-grid finite-difference scheme based on the modified Taylor-series expansion with minimax approximation method for elastic modeling

doi:10.1016/jjappgeo.2017.01.020

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 > 中国科学院油气资源研究重点实验室

	An optimal implicit staggered-grid finite-difference scheme based on the modified Taylor-series expansion with minimax approximation method for elastic modeling
	Yang, Lei 1,2; Yan, Hongyong 1; Liu, Hong 1,2
刊名	JOURNAL OF APPLIED GEOPHYSICS
	2017-03-01
卷号	138 页码:161-171
关键词	Implicit Staggered -grid Finite Difference (Isfd) Taylor-series Expansion (Te) MiniMax ApproxiMation (Ma) Remez Algorithm Elastic Modeling
ISSN号	0926-9851
DOI	10.1016/jjappgeo.2017.01.020
文献子类	Article
英文摘要	Implicit staggered-grid finite-difference (ISFD) scheme is competitive for its great accuracy and stability, whereas its coefficients are conventionally determined by the Taylor-series expansion (TE) method, leading to a loss in numerical precision. In this paper, we modify the TE method using the minimax approximation (MA), and propose a new optimal ISFD scheme based on the modified TE (MTE) with MA method. The new ISFD scheme takes the advantage of the TE method that guarantees great accuracy at small wavenumbers, and keeps the property of the MA method that keeps the numerical errors within a limited bound at the same time. Thus, it leads to great accuracy for numerical solution of the wave equations. We derive the optimal ISFD coefficients by applying the new method to the construction of the objective function, and using a Remez algorithm to minimize its maximum. Numerical analysis is made in comparison with the conventional TE-based ISFD scheme, indicating that the MTE-based ISFD scheme with appropriate parameters can widen the wavenumber range with high accuracy, and achieve greater precision than the conventional ISFD scheme. The numerical modeling results also demonstrate that the MTE-based ISFD scheme performs well in elastic wave simulation, and is more efficient than the conventional ISFD scheme for elastic modeling. (C) 2017 Elsevier B.V. All rights reserved.
WOS关键词	SEISMIC-WAVE PROPAGATION ; REVERSE-TIME MIGRATION ; LEAST-SQUARES ; SPATIAL DERIVATIVES ; HETEROGENEOUS MEDIA ; BOUNDARY-CONDITIONS ; TTI MEDIA ; ORDER ; EQUATION ; SIMULATIONS
WOS研究方向	Geology ; Mining & Mineral Processing
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000397688700018
资助机构	National Natural Science Foundation of China(41404112 ; International Postdoctoral Exchange Fellowship Program(20140047) ; Major State Research Development Program of China(2016YFC0601101) ; 41630319) ; National Natural Science Foundation of China(41404112 ; International Postdoctoral Exchange Fellowship Program(20140047) ; Major State Research Development Program of China(2016YFC0601101) ; 41630319) ; National Natural Science Foundation of China(41404112 ; International Postdoctoral Exchange Fellowship Program(20140047) ; Major State Research Development Program of China(2016YFC0601101) ; 41630319) ; National Natural Science Foundation of China(41404112 ; International Postdoctoral Exchange Fellowship Program(20140047) ; Major State Research Development Program of China(2016YFC0601101) ; 41630319)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/52987]
专题	地质与地球物理研究所_中国科学院油气资源研究重点实验室
通讯作者	Yan, Hongyong
作者单位	1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Yang, Lei,Yan, Hongyong,Liu, Hong. An optimal implicit staggered-grid finite-difference scheme based on the modified Taylor-series expansion with minimax approximation method for elastic modeling[J]. JOURNAL OF APPLIED GEOPHYSICS,2017,138:161-171.
APA	Yang, Lei,Yan, Hongyong,&Liu, Hong.(2017).An optimal implicit staggered-grid finite-difference scheme based on the modified Taylor-series expansion with minimax approximation method for elastic modeling.JOURNAL OF APPLIED GEOPHYSICS,138,161-171.
MLA	Yang, Lei,et al."An optimal implicit staggered-grid finite-difference scheme based on the modified Taylor-series expansion with minimax approximation method for elastic modeling".JOURNAL OF APPLIED GEOPHYSICS 138(2017):161-171.