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New k-space scheme for modeling elastic wave propagation in heterogeneous media
Huang JiWei1,2,3,4; Liu Hong1,2,3,4
2020-08-01
Source PublicationCHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
ISSN0001-5733
Volume63Issue:8Pages:3091-3104
AbstractThe traditional Pseudo-Spectral (PS) method achieve an accurate spatial approximation with only two points required per wavelength, whereas it has low accuracy in temporal approximation because using FD approximation. This unbalanced scheme of the PS method has temporal dispersion and instability problems when a large time step is used. The original k-space method can effectively overcome these problems; however, it is not suitable for seismic modeling in heterogeneous media and requires a large memory. To solve this problem, we have developed a new family of k-space operators which are constructed by replacing the constant compensation velocity in the original k-space operators with the variable velocity of heterogeneous media. A low-rank approximation is introduced to obtain solutions at a high efficiency. To deal with the large memory requirement, the constructed k-space operators are applied to the second-order displacement wave equations instead of the first-order velocity-stress wave equations on the staggered grid, which reduces the computational memory. We mathematically demonstrate that this k-space scheme based on the second-order wave equations is equivalent to the original one based on the first-order wave equations. Numerical modeling experiments show that this new scheme can provide analytical and more accurate solutions for acoustic and elastic wave propagation in homogeneous and heterogeneous media with large time and space steps compared with the traditional PS, staggered grid PS and k-space methods. By using larger temporal sampling intervals while maintaining the stability and accuracy, this scheme can greatly reduce the computational cost for long-time modeling.
Keywordk-space operator Low-rank approximation Wave propagation Heterogeneous media
DOI10.6038/cjg2020N0291
WOS KeywordFINITE-DIFFERENCE SCHEMES ; PSEUDOSPECTRAL METHOD ; BOUNDARY-CONDITION ; EXTRAPOLATION ; EQUATION ; SCALAR ; ACCURACY
Language英语
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000557376400019
PublisherSCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/97621
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
First Author AffilicationInstitute of Geology and Geophysics, Chinese Academy of Sciences;  Key Laboratory of Petroleum Resource Research, Chinese Academy of Sciences
Corresponding Author AffilicationInstitute of Geology and Geophysics, Chinese Academy of Sciences;  Key Laboratory of Petroleum Resource Research, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Huang JiWei,Liu Hong. New k-space scheme for modeling elastic wave propagation in heterogeneous media[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2020,63(8):3091-3104.
APA Huang JiWei,&Liu Hong.(2020).New k-space scheme for modeling elastic wave propagation in heterogeneous media.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,63(8),3091-3104.
MLA Huang JiWei,et al."New k-space scheme for modeling elastic wave propagation in heterogeneous media".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 63.8(2020):3091-3104.
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