Institutional Repository of Key Laboratory of Earth and Planetary Physics, Chinese Academy of Sciences
| Direct expansion of Fourier extrapolator for one-way wave equation using Chebyshev polynomials of the second kind | |
| Song, Hanjie1; Zhang, Jinhai2,3; Zou, Yongliao1 | |
| 2022-03-01 | |
| Source Publication | GEOPHYSICS
 |
| ISSN | 0016-8033 |
| Volume | 87Issue:2Pages:S63-S73 |
| Abstract | The Fourier method for one-way wave propagation is efficient but potentially inaccurate in complex media. The implicit finite-difference (FD) method can handle arbitrarily complex media, but it can be inefficient in 3D and has limited dip bandwidth. We have adopted a new Fourier method based on the Chebyshev expansion of the second kind. Theoretical analyses and numerical experiments indicate that our method is comprehensively superior to a similar method based on the Chebyshev expansion of the first kind in terms of balanced amplitude and error tolerance. Within the dip bandwidth from 0 degrees to 65 degrees, the fourth-order form of our method has an error tolerance of 2%, which is approximately one-third that of the Chebyshev expansion of the first kind. Our method also is superior to the implicit FD method in several important aspects: effective bandwidth, computational efficiency, numerical dispersion, and two-way splitting error. It can be easily extended from 2D to 3D compared with the FD method and from low orders to high orders compared with the optimized Chebyshev-Fourier method. Our method finds better imaging results of the SEG/EAGE model by providing a well-focused salt dome, flank, and bottom as well as the detailed structures beneath the salt body, compared with the implicit FD method and the Chebyshev expansion of the first kind; meanwhile, our method has fewer imaging artifacts because it can better position the reflectors. |
| DOI | 10.1190/GEO2021-0114.1 |
| Funding Organization | National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration |
| WOS Keyword | FINITE-DIFFERENCE MIGRATION ; PSEUDOSPECTRAL METHOD ; DEPTH MIGRATION ; TRUE-AMPLITUDE ; 3-D MIGRATION ; APPROXIMATION ; PROPAGATION ; OPERATOR ; SCHEMES ; SCATTERING |
| Language | 英语 |
| Funding Project | National Key R&D Program of China[2020YFE0202100] ; National Natural Science Foundation of China[11941001] ; Chinese National Space Administration[D020201] ; Chinese National Space Administration[D020203] |
| Funding Organization | National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration ; Chinese National Space Administration |
| WOS Research Area | Geochemistry & Geophysics |
| WOS Subject | Geochemistry & Geophysics |
| WOS ID | WOS:000887918500018 |
| Publisher | SOC EXPLORATION GEOPHYSICISTS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.iggcas.ac.cn/handle/132A11/107679 |
| Collection | 地球与行星物理院重点实验室 |
| Corresponding Author | Zhang, Jinhai |
| Affiliation | 1.Chinese Acad Sci, Natl Space Sci Ctr, State Key Lab Space Weather, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing 100029, Peoples R China 3.Chinese Acad Sci, Innovat Acad Earth Sci, Beijing 100029, Peoples R China |
| Corresponding Author Affilication | Institute of Geology and Geophysics, Chinese Academy of Sciences |
| Recommended Citation GB/T 7714 | Song, Hanjie,Zhang, Jinhai,Zou, Yongliao. Direct expansion of Fourier extrapolator for one-way wave equation using Chebyshev polynomials of the second kind[J]. GEOPHYSICS,2022,87(2):S63-S73. |
| APA | Song, Hanjie,Zhang, Jinhai,&Zou, Yongliao.(2022).Direct expansion of Fourier extrapolator for one-way wave equation using Chebyshev polynomials of the second kind.GEOPHYSICS,87(2),S63-S73. |
| MLA | Song, Hanjie,et al."Direct expansion of Fourier extrapolator for one-way wave equation using Chebyshev polynomials of the second kind".GEOPHYSICS 87.2(2022):S63-S73. |
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