Abbreviated Journal Title
Geophysics
Keywords
SCALAR WAVE-EQUATION; ORDER; SCHEMES; ACCURACY; Geochemistry & Geophysics
Abstract
The staggered-grid finite-difference (FD) method is widely used in numerical simulation of the wave equation. With stability conditions, grid dispersion often exists because of the discretization of the time and the spatial derivatives in the wave equation. Therefore, suppressing grid dispersion is a key problem for the staggered-grid FD schemes. To reduce the grid dispersion, the traditional method uses high-order staggered-grid schemes in the space domain. However, the wave is propagated in the time and space domain simultaneously. Therefore, some researchers proposed to derive staggered-grid FD schemes based on the time-space domain dispersion relationship. However, such methods were restricted to low frequencies and special angles of propagation. We have developed a regularizing technique to tackle the ill-conditioned property of the symmetric linear system and to stably provide approximate solutions of the FD coefficients for acoustic-wave equations. Dispersion analysis and seismic numerical simulations determined that the proposed method satisfies the dispersion relationship over a much wider range of frequencies and angles of propagation and can ensure FD coefficients being solved via a well-posed linear system and hence improve the forward modeling precision.
Journal Title
Geophysics
Volume
79
Issue/Number
5
Publication Date
1-1-2014
Document Type
Article
Language
English
First Page
T277
Last Page
T285
WOS Identifier
ISSN
0016-8033
Recommended Citation
Wang, Yanfei; Liang, Wenquan; Nashed, Zuhair; Li, Xiao; Liang, Guanghe; and Yang, Changchun, "Seismic modeling by optimizing regularized staggered-grid finite-difference operators using a time-space-domain dispersion-relationship-preserving method" (2014). Faculty Bibliography 2010s. 6256.
https://stars.library.ucf.edu/facultybib2010/6256
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