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New k-space scheme for modeling elastic wave propagation in heterogeneous media

文献类型：期刊论文

作者Huang JiWei1,2,3,4; Liu Hong1,2,3,4
刊名CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
出版日期2020-08-01
卷号63期号:8页码:3091-3104
关键词k-space operator Low-rank approximation Wave propagation Heterogeneous media
ISSN号0001-5733
DOI10.6038/cjg2020N0291
英文摘要The 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.
WOS关键词FINITE-DIFFERENCE SCHEMES ; PSEUDOSPECTRAL METHOD ; BOUNDARY-CONDITION ; EXTRAPOLATION ; EQUATION ; SCALAR ; ACCURACY
WOS研究方向Geochemistry & Geophysics
语种英语
WOS记录号WOS:000557376400019
出版者SCIENCE PRESS
源URL[http://ir.iggcas.ac.cn/handle/132A11/97621]  
专题地质与地球物理研究所_中国科学院油气资源研究重点实验室
通讯作者Liu Hong
作者单位1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China
3.Chinese Acad Sci, Inst Earth Sci, Beijing 100029, Peoples R China
4.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China
推荐引用方式
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.

入库方式： OAI收割

来源：地质与地球物理研究所

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