Steepest descent integration: A novel method for computing wavefields radiated from borehole sources
文献类型：期刊论文
| 作者 | Xu, Yihe1; Wang, Baoshan1; Xu, Tao2,3 |
| 刊名 | GEOPHYSICS
 |
| 出版日期 | 2018-07-01 |
| 卷号 | 83期号:4页码:D151-D164 |
| ISSN号 | 0016-8033 |
| DOI | 10.1190/GEO2017-0260.1 |
| 英文摘要 | Borehole sources, including chemical explosives, air gun, water gun, and piezoelectric transducers in the borehole, generate seismic waves inside and outside the borehole. Modeling the wavefield is of key importance in acoustic logging, crosshole tomography, mining geophysics, and deep sounding seismic for interpretation of amplitude information of real data and prediction of energy-radiation patterns. Classic methods for modeling the wavefield inside a borehole, such as real-axis integration, are challenged by highly oscillatory integrals encountered when modeling the wavefield outside the borehole. We have developed a novel method, called steepest descent integration (SDI), which evaluates the oscillatory wavenumber integration by numerically integrating along the steepest descent path. The oscillation along the new integration path is significantly reduced. The contributions of poles and branch cuts are added if they are located between the steepest descent path and the real axis. The SDI is applicable to arbitrary frequency and source-receiver distance. Comparison with real-axis integration shows that the method can compute highly oscillatory integrals with better efficiency and accuracy. In addition, the SDI is more numerically robust because it generates no spurious arrivals, which are evident in the real-axis integration. Analysis of numerical examples at different source-receiver distance shows that SDI is more efficient when computing far-field seismograms. This SDI can also be used to compute highly oscillatory integral in other wave-propagation problems. |
| WOS关键词 | FLUID-FILLED BOREHOLE ; NUMERICAL EVALUATION ; SEISMIC RADIATION ; TIGHT FORMATIONS ; ACOUSTIC LOGS ; PROPAGATION |
| 资助项目 | National Key Research and Development Program of China[2016YFC0600201] ; National Key Research and Development Program of China[2016YFC0600101] ; Special Fund of the Institute of Geophysics, China Earthquake Administration[DQJB15B09] ; National Natural Science Foundation of China[41790462] ; National Natural Science Foundation of China[41574052] ; National Natural Science Foundation of China[41674058] ; National Natural Science Foundation of China[41522401] |
| WOS研究方向 | Geochemistry & Geophysics |
| 语种 | 英语 |
| WOS记录号 | WOS:000443597500013 |
| 出版者 | SOC EXPLORATION GEOPHYSICISTS |
| 资助机构 | National Key Research and Development Program of China ; Special Fund of the Institute of Geophysics, China Earthquake Administration ; National Natural Science Foundation of China ; National Key Research and Development Program of China ; Special Fund of the Institute of Geophysics, China Earthquake Administration ; National Natural Science Foundation of China ; National Key Research and Development Program of China ; Special Fund of the Institute of Geophysics, China Earthquake Administration ; National Natural Science Foundation of China ; National Key Research and Development Program of China ; Special Fund of the Institute of Geophysics, China Earthquake Administration ; National Natural Science Foundation of China |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/88468]  |
| 专题 | 地质与地球物理研究所_岩石圈演化国家重点实验室 |
| 通讯作者 | Xu, Yihe |
| 作者单位 | 1.China Earthquake Adm, Key Lab Seism Observat & Geophys Imaging, Inst Geophys, Beijing 100081, Peoples R China 2.Chinese Acad Sci, State Key Lab Lithospher Evolut, Inst Geol & Geophys, Beijing 100029, Peoples R China 3.CAS Ctr Excellence Tibetan Plateau Earth Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Yihe,Wang, Baoshan,Xu, Tao. Steepest descent integration: A novel method for computing wavefields radiated from borehole sources[J]. GEOPHYSICS,2018,83(4):D151-D164. |
| APA | Xu, Yihe,Wang, Baoshan,&Xu, Tao.(2018).Steepest descent integration: A novel method for computing wavefields radiated from borehole sources.GEOPHYSICS,83(4),D151-D164. |
| MLA | Xu, Yihe,et al."Steepest descent integration: A novel method for computing wavefields radiated from borehole sources".GEOPHYSICS 83.4(2018):D151-D164. |
入库方式： OAI收割
来源：地质与地球物理研究所
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