Steepest descent integration: A novel method for computing wavefields radiated from borehole sources

doi:10.1190/GEO2017-0260.1

CORC > 地质与地球物理研究所 > 中国科学院地质与地球物理研究所 > 岩石圈演化国家重点实验室

	Steepest descent integration: A novel method for computing wavefields radiated from borehole sources
	Xu, Yihe 1; Wang, Baoshan 1; Xu, Tao 2,3
刊名	GEOPHYSICS
	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.
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关键词	FLUID-FILLED BOREHOLE ; NUMERICAL EVALUATION ; SEISMIC RADIATION ; TIGHT FORMATIONS ; ACOUSTIC LOGS ; PROPAGATION
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SOC EXPLORATION GEOPHYSICISTS
WOS记录号	WOS:000443597500013
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
内容类型	期刊论文
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.