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

文献类型：期刊论文

作者Liu, Youshan1; Teng, Jiwen1; Xu, Tao1,2; Badal, Jos3; Liu, Qinya4; Zhou, Bing5
刊名PURE AND APPLIED GEOPHYSICS
出版日期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
DOI10.1007/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
WOS记录号WOS:000400109500010
出版者SPRINGER BASEL AG
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)
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.

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来源：地质与地球物理研究所

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