Effects of Conjugate Gradient Methods and Step-Length Formulas on the Multiscale Full Waveform Inversion in Time Domain: Numerical Experiments

doi:10.1007/s00024-017-1512-3

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

	Effects of Conjugate Gradient Methods and Step-Length Formulas on the Multiscale Full Waveform Inversion in Time Domain: Numerical Experiments
	Liu, Youshan 1; Teng, Jiwen 1; Xu, Tao 1,2; Badal, Jos 3; Liu, Qinya 4; Zhou, Bing 5
刊名	PURE AND APPLIED GEOPHYSICS
	2017-05-01
卷号	174 期号:5 页码:1983-2006
关键词	Full waveform inversion nonlinear conjugate gradient method step-length formulas multiscale strategy frequency-band selection strategy
ISSN号	0033-4553
DOI	10.1007/s00024-017-1512-3
文献子类	Article
英文摘要	We carry out full waveform inversion (FWI) in time domain based on an alternative frequency-band selection strategy that allows us to implement the method with success. This strategy aims at decomposing the seismic data within partially overlapped frequency intervals by carrying out a concatenated treatment of the wavelet to largely avoid redundant frequency information to adapt to wavelength or wavenumber coverage. A pertinent numerical test proves the effectiveness of this strategy. Based on this strategy, we comparatively analyze the effects of update parameters for the nonlinear conjugate gradient (CG) method and step-length formulas on the multiscale FWI through several numerical tests. The investigations of up to eight versions of the nonlinear CG method with and without Gaussian white noise make clear that the HS (Hestenes and Stiefel in J Res Natl Bur Stand Sect 5:409-436, 1952), CD (Fletcher in Practical methods of optimization vol. 1: unconstrained optimization, Wiley, New York, 1987), and PRP (Polak and RibiSre in Revue Francaise Informat Recherche Opertionelle, 3e Ann,e 16:35-43, 1969; Polyak in USSR Comput Math Math Phys 9:94-112, 1969) versions are more efficient among the eight versions, while the DY (Dai and Yuan in SIAM J Optim 10:177-182, 1999) version always yields inaccurate result, because it overestimates the deeper parts of the model. The application of FWI algorithms using distinct step-length formulas, such as the direct method (Direct), the parabolic search method (Search), and the two-point quadratic interpolation method (Interp), proves that the Interp is more efficient for noise-free data, while the Direct is more efficient for Gaussian white noise data. In contrast, the Search is less efficient because of its slow convergence. In general, the three step-length formulas are robust or partly insensitive to Gaussian white noise and the complexity of the model. When the initial velocity model deviates far from the real model or the data are contaminated by noise, the objective function values of the Direct and Interp are oscillating at the beginning of the inversion, whereas that of the Search decreases consistently.
WOS关键词	SEISMIC-REFLECTION DATA ; FREQUENCY-DOMAIN ; ADJOINT METHODS ; NONLINEAR INVERSION ; SENSITIVITY KERNELS ; IMPEDANCE INVERSION ; GUARANTEED DESCENT ; GAUSS-NEWTON ; TOMOGRAPHY ; MIGRATION
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SPRINGER BASEL AG
WOS记录号	WOS:000400109500010
资助机构	National key research and development program of China(2016YFC0600101 ; National key research and development program of China(2016YFC0600101 ; China Earthquake Administration(201408023) ; China Earthquake Administration(201408023) ; National Natural Science Foundation of China(41604076 ; National Natural Science Foundation of China(41604076 ; China Postdoctoral Science Foundation(2016M600128) ; China Postdoctoral Science Foundation(2016M600128) ; 2016YFC0600201 ; 2016YFC0600201 ; 41674102 ; 41674102 ; 2016YFC0600402) ; 2016YFC0600402) ; 41604075 ; 41604075 ; 41674095 ; 41674095 ; 41522401 ; 41522401 ; 41174075 ; 41174075 ; 41474068 ; 41474068 ; 41374062) ; 41374062) ; National key research and development program of China(2016YFC0600101 ; National key research and development program of China(2016YFC0600101 ; China Earthquake Administration(201408023) ; China Earthquake Administration(201408023) ; National Natural Science Foundation of China(41604076 ; National Natural Science Foundation of China(41604076 ; China Postdoctoral Science Foundation(2016M600128) ; China Postdoctoral Science Foundation(2016M600128) ; 2016YFC0600201 ; 2016YFC0600201 ; 41674102 ; 41674102 ; 2016YFC0600402) ; 2016YFC0600402) ; 41604075 ; 41604075 ; 41674095 ; 41674095 ; 41522401 ; 41522401 ; 41174075 ; 41174075 ; 41474068 ; 41474068 ; 41374062) ; 41374062) ; National key research and development program of China(2016YFC0600101 ; National key research and development program of China(2016YFC0600101 ; China Earthquake Administration(201408023) ; China Earthquake Administration(201408023) ; National Natural Science Foundation of China(41604076 ; National Natural Science Foundation of China(41604076 ; China Postdoctoral Science Foundation(2016M600128) ; China Postdoctoral Science Foundation(2016M600128) ; 2016YFC0600201 ; 2016YFC0600201 ; 41674102 ; 41674102 ; 2016YFC0600402) ; 2016YFC0600402) ; 41604075 ; 41604075 ; 41674095 ; 41674095 ; 41522401 ; 41522401 ; 41174075 ; 41174075 ; 41474068 ; 41474068 ; 41374062) ; 41374062) ; National key research and development program of China(2016YFC0600101 ; National key research and development program of China(2016YFC0600101 ; China Earthquake Administration(201408023) ; China Earthquake Administration(201408023) ; National Natural Science Foundation of China(41604076 ; National Natural Science Foundation of China(41604076 ; China Postdoctoral Science Foundation(2016M600128) ; China Postdoctoral Science Foundation(2016M600128) ; 2016YFC0600201 ; 2016YFC0600201 ; 41674102 ; 41674102 ; 2016YFC0600402) ; 2016YFC0600402) ; 41604075 ; 41604075 ; 41674095 ; 41674095 ; 41522401 ; 41522401 ; 41174075 ; 41174075 ; 41474068 ; 41474068 ; 41374062) ; 41374062)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/42518]
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	Liu, Youshan
作者单位	1.Chinese Acad Sci, Inst Geol & Geophys, State Key Lab Lithospher Evolut, Beijing 100029, Peoples R China 2.CAS Ctr Excellence Tibetan Plateau Earth Sci, Beijing 100101, Peoples R China 3.Univ Zaragoza, Phys Earth, Sci B, Pedro Cerbuna 12, Zaragoza 50009, Spain 4.Univ Toronto, Dept Phys, Toronto, ON M5S 1A7, Canada 5.Petr Inst, Petr Geosci, Abu Dhabi, U Arab Emirates
推荐引用方式 GB/T 7714	Liu, Youshan,Teng, Jiwen,Xu, Tao,et al. Effects of Conjugate Gradient Methods and Step-Length Formulas on the Multiscale Full Waveform Inversion in Time Domain: Numerical Experiments[J]. PURE AND APPLIED GEOPHYSICS,2017,174(5):1983-2006.
APA	Liu, Youshan,Teng, Jiwen,Xu, Tao,Badal, Jos,Liu, Qinya,&Zhou, Bing.(2017).Effects of Conjugate Gradient Methods and Step-Length Formulas on the Multiscale Full Waveform Inversion in Time Domain: Numerical Experiments.PURE AND APPLIED GEOPHYSICS,174(5),1983-2006.
MLA	Liu, Youshan,et al."Effects of Conjugate Gradient Methods and Step-Length Formulas on the Multiscale Full Waveform Inversion in Time Domain: Numerical Experiments".PURE AND APPLIED GEOPHYSICS 174.5(2017):1983-2006.