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题名: An average-derivative optimal scheme for frequency-domain scalar wave equation
作者: Chen, JB
刊名: GEOPHYSICS
出版日期: 2012
卷号: 77, 期号:6, 页码:T201-T210
关键词: FINITE-DIFFERENCE ;  FORM INVERSION ;  LAX-WENDROFF ;  SPACE ;  TIME ;  TOMOGRAPHY
学科分类: Physics
通讯作者: Chen, JB (reprint author), Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing, Peoples R China.
部门归属: [Chen, Jing-Bo] Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing, Peoples R China; [Chen, Jing-Bo] Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要: Forward modeling is an important foundation of full-waveform inversion. The rotated optimal nine-point scheme is an efficient algorithm for frequency-domain 2D scalar wave equation simulation, but this scheme fails when directional sampling intervals are different. To overcome the restriction on directional sampling intervals of the rotated optimal nine-point scheme, I introduce a new finite-difference algorithm. Based on an average-derivative technique, this new algorithm uses a nine-point operator to approximate spatial derivatives and mass acceleration term. The coefficients can be determined by minimizing phase-velocity dispersion errors. The resulting nine-point optimal scheme applies to equal and unequal directional sampling intervals, and can be regarded a generalization of the rotated optimal nine-point scheme. Compared to the classical five-point scheme, the number of grid points per smallest wavelength is reduced from 13 to less than four by this new nine-point optimal scheme for equal and unequal directional sampling intervals. Three numerical examples are presented to demonstrate the theoretical analysis. The average-derivative algorithm is also extended to a 2D viscous scalar wave equation and a 3D scalar wave equation.
资助者: National Natural Science Foundation of China [40830424, 40974074, 40774069]; National Major Project of China [2011ZX05008-006]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000312824300029
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/14992
Appears in Collections:理论物理所2012年知识产出_期刊论文

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Recommended Citation:
Chen, JB. An average-derivative optimal scheme for frequency-domain scalar wave equation[J]. GEOPHYSICS,2012,77(6):T201-T210.
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