A general optimal method for a 2D frequency-domain finite-difference solution of scalar wave equation
Fan, Na1,2; Zhao, Lian-Feng3; Xie, Xiao-Bi4; Tang, Xin-Gong1,2; Yao, Zhen-Xing3
刊名GEOPHYSICS
2017-05-01
卷号82期号:3页码:T121-T132
ISSN号0016-8033
DOI10.1190/GEO2016-0457.1
文献子类Article
英文摘要We have developed a general optimal method for 2D frequency-domain finite-difference simulation of the scalar wave equation. For a given finite-difference stencil, this method can generate the dispersion equation and optimize the expansion coefficients. Many commonly used frequency-domain finite-difference schemes (e.g., grids with different numbers of points, rotated grids, and grid spaces with different aspect ratios) can be derived as special cases under this framework. The possibility of expanding this method to 3D does exist. Based on the 2D scalar wave equation, the optimized coefficients of 25-point, 9-point, 17-point, and 15-point schemes have been worked out. The dispersion analysis indicates that our 25-point scheme has much higher accuracy than the average-derivative method 25-point scheme. The number of grid points per the smallest wavelength is reduced from 2.78 to 2.13 for a maximum phase velocity errors of 1%. The synthetic seismograms and the wavefield snapshots calculated using our optimal 25-point finite-different scheme give smaller dispersions than other finite-difference schemes.
WOS关键词AVERAGE-DERIVATIVE METHOD ; ACOUSTIC EQUATION ; DIRECT SOLVER ; OPERATOR ; SCHEME ; SPACE ; MEDIA ; IMPLEMENTATION ; EXTRAPOLATOR ; PROPAGATION
WOS研究方向Geochemistry & Geophysics
语种英语
出版者SOC EXPLORATION GEOPHYSICISTS
WOS记录号WOS:000403712600052
资助机构National Natural Science Foundation of China(41604037 ; Key Laboratory of Geospace Environment and Geodesy (Wuhan University), Ministry of Education(15-01-02) ; 41504102 ; 41674107 ; 41674060) ; National Natural Science Foundation of China(41604037 ; Key Laboratory of Geospace Environment and Geodesy (Wuhan University), Ministry of Education(15-01-02) ; 41504102 ; 41674107 ; 41674060) ; National Natural Science Foundation of China(41604037 ; Key Laboratory of Geospace Environment and Geodesy (Wuhan University), Ministry of Education(15-01-02) ; 41504102 ; 41674107 ; 41674060) ; National Natural Science Foundation of China(41604037 ; Key Laboratory of Geospace Environment and Geodesy (Wuhan University), Ministry of Education(15-01-02) ; 41504102 ; 41674107 ; 41674060)
内容类型期刊论文
源URL[http://ir.iggcas.ac.cn/handle/132A11/61857]  
专题地质与地球物理研究所_中国科学院地球与行星物理重点实验室
通讯作者Fan, Na
作者单位1.Yangtze Univ, Sch Geophys & Oil Resources, Wuhan, Peoples R China
2.Minist Educ, Key Lab Explorat Technol Oil & Gas Resources, Wuhan, Peoples R China
3.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing, Peoples R China
4.Univ Calif Santa Cruz, Inst Geophys & Planetary Phys, Santa Cruz, CA 95064 USA
推荐引用方式
GB/T 7714
Fan, Na,Zhao, Lian-Feng,Xie, Xiao-Bi,et al. A general optimal method for a 2D frequency-domain finite-difference solution of scalar wave equation[J]. GEOPHYSICS,2017,82(3):T121-T132.
APA Fan, Na,Zhao, Lian-Feng,Xie, Xiao-Bi,Tang, Xin-Gong,&Yao, Zhen-Xing.(2017).A general optimal method for a 2D frequency-domain finite-difference solution of scalar wave equation.GEOPHYSICS,82(3),T121-T132.
MLA Fan, Na,et al."A general optimal method for a 2D frequency-domain finite-difference solution of scalar wave equation".GEOPHYSICS 82.3(2017):T121-T132.
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