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Solving second-order decoupled elastic wave equation using low-rank decomposition and low-rank finite differences
Yuan YuXin1,2,3,4; Hu Ting1,2,3,4; Wang ZhiYang1,2,3; Guo Peng5; Liu Hong1,2,3,4
2018-08-01
Source PublicationCHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
ISSN0001-5733
Volume61Issue:8Pages:3324-3333
AbstractSeismic wavefield extrapolation is an important part of seismic imaging and full waveform inversion. Theoretically, the problem of wave extrapolation in the time domain can be reduced into analyzing numerical approximation to the space-wavenumber mixed-domain symbol. In this paper, we propose a novel method to solve decoupled second-order elastic wave equation. We successively employ backward and forward first-order pseudo differential operators to derive a wave extrapolation operator for second-order decoupled elastic wave propagation. The mixed-domain symbol incorporates the accurate spectral evaluation of spatial derivatives and the time-marching adjustment to ensure that the solution is exact for homogeneous wave propagation for time steps of an arbitrarily large size. Considering its straightforward implementation in heterogeneous media, it needs to do N times inverse fast Fourier transform (FFT) every time step, here N is the total size of the model grid. In order to reduce computational cost, we propose a staggered-grid low-rank(SGL) method, which can be applied to large time step wave extrapolation. We also propose a staggered-grid low-rank finite-difference (SGLFD) method by combining the staggered low-rank method and finite-difference to reduce numerical dispersion. The 2D numerical experiments demonstrate that these two methods can improve the accuracy of modeling results compared with the ordinary staggered-grid finite difference method.
KeywordWavefield extrapolation Space-wavenumber mixed-domain symbol Staggered-grid low-rank decomposition Staggered-grid low-rank finite difference
DOI10.6038/cjg2018L0257
WOS KeywordSPACE METHOD ; PROPAGATION ; EXTRAPOLATION ; SCATTERING
Language英语
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000442058500019
PublisherSCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/89173
Collection油气资源研究院重点实验室
Corresponding AuthorLiu Hong
Affiliation1.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China
2.Chinese Acad Sci, Inst Earth Sci, Beijing 100029, Peoples R China
3.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China
4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
5.China Earthquake Adm, Lanzhou Inst Seismol, Lanzhou 730000, Gansu, Peoples R China
Recommended Citation
GB/T 7714
Yuan YuXin,Hu Ting,Wang ZhiYang,et al. Solving second-order decoupled elastic wave equation using low-rank decomposition and low-rank finite differences[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2018,61(8):3324-3333.
APA Yuan YuXin,Hu Ting,Wang ZhiYang,Guo Peng,&Liu Hong.(2018).Solving second-order decoupled elastic wave equation using low-rank decomposition and low-rank finite differences.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,61(8),3324-3333.
MLA Yuan YuXin,et al."Solving second-order decoupled elastic wave equation using low-rank decomposition and low-rank finite differences".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 61.8(2018):3324-3333.
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