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Optimal staggered-grid finite-difference schemes based on the minimax approximation method with the Remez algorithm

文献类型：期刊论文

作者Yang, Lei1,2; Yan, Hongyong1; Liu, Hong1,2
刊名GEOPHYSICS
出版日期2017
卷号82期号:1页码:T27-T42
ISSN号0016-8033
DOI10.1190/GEO2016-0171.1
文献子类Article
英文摘要Finite-difference (FD) schemes, especially staggered-grid FD (SFD) schemes, have been widely implemented for wave extrapolation in numerical modeling, whereas the conventional approach to compute the SFD coefficients is based on the Taylor-series expansion (TE) method, which leads to unignorable great errors at large wavenumbers in the solution of wave equations. We have developed new optimal explicit SFD (ESFD) and implicit SFD (ISFD) schemes based on the minimax approximation (MA) method with a Remez algorithm to enhance the numerical modeling accuracy. Starting from the wavenumber dispersion relations, we derived the optimal ESFD and ISFD coefficients by using the MA method to construct the objective functions, and solve the objective functions with the Remez algorithm. We adopt the MA-based ESFD and ISFD coefficients to solve the spatial derivatives of the elastic-wave equations and perform numerical modeling. Numerical analyses indicated that the MA-based ESFD and ISFD schemes can overcome the disadvantages of conventional methods by improving the numerical accuracy at large wavenumbers. Numerical modeling examples determined that under the same discretizations, the MA-based ESFD and ISFD schemes lead to greater accuracy compared with the corresponding conventional ESFD or ISFD scheme, whereas under the same numerical precision, the shorter operator length can be adopted for the MA-based ESFD and ISFD schemes, so that the computation time is further decreased.
WOS关键词SCALAR WAVE-EQUATION ; LEAST-SQUARES ; SPATIAL DERIVATIVES ; HETEROGENEOUS MEDIA ; DISPERSION ; PROPAGATION ; SIMULATIONS ; OPERATORS ; ORDER
WOS研究方向Geochemistry & Geophysics
语种英语
WOS记录号WOS:000396469700037
出版者SOC EXPLORATION GEOPHYSICISTS
资助机构National Natural Science Foundation of China(41404112) ; International Postdoctoral Exchange Fellowship Program (the Office of China Postdoctoral Council)(20140047) ; Elastic Seismic Imaging Project (CNPC) ; Major State Research Development Program of China(2016YFC0601101) ; National Natural Science Foundation of China(41404112) ; International Postdoctoral Exchange Fellowship Program (the Office of China Postdoctoral Council)(20140047) ; Elastic Seismic Imaging Project (CNPC) ; Major State Research Development Program of China(2016YFC0601101) ; National Natural Science Foundation of China(41404112) ; International Postdoctoral Exchange Fellowship Program (the Office of China Postdoctoral Council)(20140047) ; Elastic Seismic Imaging Project (CNPC) ; Major State Research Development Program of China(2016YFC0601101) ; National Natural Science Foundation of China(41404112) ; International Postdoctoral Exchange Fellowship Program (the Office of China Postdoctoral Council)(20140047) ; Elastic Seismic Imaging Project (CNPC) ; Major State Research Development Program of China(2016YFC0601101)
源URL[http://ir.iggcas.ac.cn/handle/132A11/53073]  
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Yang, Lei
作者单位1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing, Peoples R China
2.Univ Chinese Acad Sci, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Yang, Lei,Yan, Hongyong,Liu, Hong. Optimal staggered-grid finite-difference schemes based on the minimax approximation method with the Remez algorithm[J]. GEOPHYSICS,2017,82(1):T27-T42.
APA Yang, Lei,Yan, Hongyong,&Liu, Hong.(2017).Optimal staggered-grid finite-difference schemes based on the minimax approximation method with the Remez algorithm.GEOPHYSICS,82(1),T27-T42.
MLA Yang, Lei,et al."Optimal staggered-grid finite-difference schemes based on the minimax approximation method with the Remez algorithm".GEOPHYSICS 82.1(2017):T27-T42.

入库方式： OAI收割

来源：地质与地球物理研究所

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