气候变化领域集成服务门户(CCPortal): Square-Root Variable Metric-Based Nullspace Shuttle: A Characterization of the Nonuniqueness in Elastic Full-Waveform Inversion

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DOI	10.1029/2019JB018687
	Square-Root Variable Metric-Based Nullspace Shuttle: A Characterization of the Nonuniqueness in Elastic Full-Waveform Inversion
	Liu Q.; Peter D.
发表日期	2020
ISSN	21699313
卷号	125 期号:2
英文摘要	Full-waveform inversion (FWI) is for most geophysical applications an ill-posed inverse problem, with nonunique solutions. We examine its nonuniqueness by exploring the nullspace shuttle, which can efficiently generate an ensemble of data fitting solutions. We construct this shuttle based on a quasi-Newton method, the square-root variable-metric (SRVM) method. The latter provides access to the inverse data-misfit Hessian in FWI for large-scale applications. Combining the SRVM method with a randomized singular value decomposition, we obtain the eigenvector subspaces of the inverse data-misfit Hessian. Its primary eigenvalue and eigenvector are considered to determine the null space of inversion result. Using the SRVM-based nullspace shuttle, we can modify the inverted result a posteriori in a highly efficient manner without corrupting the data misfit. Also, because the SRVM method is embedded through elastic FWI, our method can be extended to multiparameter problems. We confirm and highlight our approach with the elastic Marmousi example. ©2020. American Geophysical Union. All Rights Reserved.
英文关键词	null space; posterior sampling; uncertainty
语种	英语
来源期刊	Journal of Geophysical Research: Solid Earth
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/187952
作者单位	Division of Physical Sciences and Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia; Department of Geosciences, Princeton University, Princeton, NJ, United States
推荐引用方式 GB/T 7714	Liu Q.,Peter D.. Square-Root Variable Metric-Based Nullspace Shuttle: A Characterization of the Nonuniqueness in Elastic Full-Waveform Inversion[J],2020,125(2).
APA	Liu Q.,&Peter D..(2020).Square-Root Variable Metric-Based Nullspace Shuttle: A Characterization of the Nonuniqueness in Elastic Full-Waveform Inversion.Journal of Geophysical Research: Solid Earth,125(2).
MLA	Liu Q.,et al."Square-Root Variable Metric-Based Nullspace Shuttle: A Characterization of the Nonuniqueness in Elastic Full-Waveform Inversion".Journal of Geophysical Research: Solid Earth 125.2(2020).