Robust time-domain full waveform inversion with normalized zero-lag cross-correlation objective function

doi:10.1093/gji/ggw485

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

	Robust time-domain full waveform inversion with normalized zero-lag cross-correlation objective function
	Liu, Youshan 1; Teng, Jiwen 1; Xu, Tao 1,2; Wang, Yanghua 3; Liu, Qinya 4,5; Badal, Jose 6
刊名	GEOPHYSICAL JOURNAL INTERNATIONAL
	2017-04-01
卷号	209 期号:1 页码:106-122
关键词	Inverse Theory Waveform Inversion Seismology
ISSN号	0956-540X
DOI	10.1093/gji/ggw485
文献子类	Article
英文摘要	In fullwaveforminversion (FWI) with the least-squares (L2) norm, the direct amplitude matching is never perfect and the accurate estimation of the seismic source strength is not always available. In contrast, the normalized zero-lag cross-correlation objective function relaxes on the amplitude constraints and emphasizes the phase information when measuring the closeness between the simulated and observed data. This FWI method becomes insensitive to differences in amplitude. Based on this property, we investigate the effectiveness and robustness of FWI with the normalized zero-lag cross-correlation function (CFWI) against the noise and unpredictable amplitude of the data that cannot be modelled by the wavefield extrapolation operator. The effectiveness is firstly tested by noise-free data and data contaminated by Gaussian white noise. In addition, CFWI can invert the data set with incorrect source strength when compared with the L2 norm. Moreover, the data set with incorrect source signature illustrates that CFWI is slightly more insensitive to the error in source signature than the L2 norm. However, a source inversion is still needed when the source signature is severely erroneous. With non-Gaussian noise data, such as contaminated by strong ground motion noise and even by spike-type noise, CFWI provides a comparable result with that of the robust Huber norm. Numerical experiments with non-Gaussian noise also indicate that CFWI can suppress noise in data to produce clearer images when compared with the Huber norm. Besides, CFWI is free of the threshold criterion that controls the transition between the L2 and L1 norms used with the Huber and Hybrid norms and therefore free from tedious trial-and-error tests. Several numerical examples support that CFWI is an alternative and reliable inversion method. However, a numerical test with a 1-D initial model confirms that CFWI is more sensitive to the cycle-skipping problem caused by less-accurate initial velocity model than the L2 norm, which is due to the wrong matched events contributing to spurious local minima of the objective function of CFWI, but to an increase in the objective function used with the L2 norm.
WOS关键词	ADJOINT-STATE METHOD ; SEISMIC DATA ; FREQUENCY-DOMAIN ; SENSITIVITY KERNELS ; FIELD INVERSION ; REAL DATA ; TOMOGRAPHY ; NORM ; TRANSMISSION ; STRATEGY
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000396820600007
资助机构	National key research and development program of China(2016YFC0600101 ; National key research and development program of China(2016YFC0600101 ; National Natural Science Foundation of China(41604076 ; National Natural Science Foundation of China(41604076 ; China Earthquake Administration(201408023) ; China Earthquake Administration(201408023) ; China Postdoctoral Science Foundation(2016M600128) ; China Postdoctoral Science Foundation(2016M600128) ; 2016YFC0600201) ; 2016YFC0600201) ; 41674102 ; 41674102 ; 41674095 ; 41674095 ; 41522401 ; 41522401 ; 41374062 ; 41374062 ; 41274070 ; 41274070 ; 41404073) ; 41404073) ; National key research and development program of China(2016YFC0600101 ; National key research and development program of China(2016YFC0600101 ; National Natural Science Foundation of China(41604076 ; National Natural Science Foundation of China(41604076 ; China Earthquake Administration(201408023) ; China Earthquake Administration(201408023) ; China Postdoctoral Science Foundation(2016M600128) ; China Postdoctoral Science Foundation(2016M600128) ; 2016YFC0600201) ; 2016YFC0600201) ; 41674102 ; 41674102 ; 41674095 ; 41674095 ; 41522401 ; 41522401 ; 41374062 ; 41374062 ; 41274070 ; 41274070 ; 41404073) ; 41404073) ; National key research and development program of China(2016YFC0600101 ; National key research and development program of China(2016YFC0600101 ; National Natural Science Foundation of China(41604076 ; National Natural Science Foundation of China(41604076 ; China Earthquake Administration(201408023) ; China Earthquake Administration(201408023) ; China Postdoctoral Science Foundation(2016M600128) ; China Postdoctoral Science Foundation(2016M600128) ; 2016YFC0600201) ; 2016YFC0600201) ; 41674102 ; 41674102 ; 41674095 ; 41674095 ; 41522401 ; 41522401 ; 41374062 ; 41374062 ; 41274070 ; 41274070 ; 41404073) ; 41404073) ; National key research and development program of China(2016YFC0600101 ; National key research and development program of China(2016YFC0600101 ; National Natural Science Foundation of China(41604076 ; National Natural Science Foundation of China(41604076 ; China Earthquake Administration(201408023) ; China Earthquake Administration(201408023) ; China Postdoctoral Science Foundation(2016M600128) ; China Postdoctoral Science Foundation(2016M600128) ; 2016YFC0600201) ; 2016YFC0600201) ; 41674102 ; 41674102 ; 41674095 ; 41674095 ; 41522401 ; 41522401 ; 41374062 ; 41374062 ; 41274070 ; 41274070 ; 41404073) ; 41404073)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/52998]
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.Imperial Coll London, Dept Earth Sci & Engn, London SW7 2AZ, England 4.Univ Toronto, Dept Phys, Toronto, ON M5S 1A7, Canada 5.Univ Toronto, Dept Earth Sci, Toronto, ON M5S 1A7, Canada 6.Univ Zaragoza, Phys Earth, Sci B, Pedro Cerbuna 12, E-50009 Zaragoza, Spain
推荐引用方式 GB/T 7714	Liu, Youshan,Teng, Jiwen,Xu, Tao,et al. Robust time-domain full waveform inversion with normalized zero-lag cross-correlation objective function[J]. GEOPHYSICAL JOURNAL INTERNATIONAL,2017,209(1):106-122.
APA	Liu, Youshan,Teng, Jiwen,Xu, Tao,Wang, Yanghua,Liu, Qinya,&Badal, Jose.(2017).Robust time-domain full waveform inversion with normalized zero-lag cross-correlation objective function.GEOPHYSICAL JOURNAL INTERNATIONAL,209(1),106-122.
MLA	Liu, Youshan,et al."Robust time-domain full waveform inversion with normalized zero-lag cross-correlation objective function".GEOPHYSICAL JOURNAL INTERNATIONAL 209.1(2017):106-122.