Square-Root Variable Metric based nullspace shuttle: a characterization of the non-uniqueness in elastic full-waveform inversion
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ArticleAuthors
Liu, Qiancheng
Peter, Daniel

KAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionEarth Science and Engineering Program
Extreme Computing Research Center
Physical Science and Engineering (PSE) Division
KAUST Grant Number
UAPN#2605-CRG4Date
2020-02-18Online Publication Date
2020-02-18Print Publication Date
2020-02Embargo End Date
2020-07-29Submitted Date
2019-09-09Permanent link to this record
http://hdl.handle.net/10754/661344
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Full-waveform inversion (FWI) is for most geophysical applications an ill-posed inverse prob-16lem, with non-unique solutions. We examine its non-uniqueness by exploring the nullspace17shuttle, which can efficiently generate an ensemble of data-fitting solutions. We construct18this shuttle based on a quasi-Newton method, the square-root variable-metric (SRVM)19method. The latter provides access to the inverse data-misfit Hessian in FWI for large-scale20applications. Combining the SRVM method with a randomised singular value decomposi-21tion, we obtain the eigenvector subspaces of the inverse data-misfit Hessian. Its primary22eigenvalue and eigenvector are considered to determine the null space of inversion result.23Using the SRVM-based nullspace shuttle, we can modify the inverted result a posteriori24in a highly efficient manner without corrupting the data misfit. Also, because the SRVM25method is embedded through elastic FWI, our method can be extended to multi-parameter26problems. We confirm and highlight our approach with the elastic Marmousi example.Citation
Liu, Q., & Peter, D. (2020). Square-Root Variable Metric based nullspace shuttle: a characterization of the non-uniqueness in elastic full-waveform inversion. Journal of Geophysical Research: Solid Earth. doi:10.1029/2019jb018687Sponsors
All data analyzed here are openly available. The MarmousiSRVM model can be found at https://zenodo.org/badge/latestdoi/125932696. The SeisflowSRVM codes can be found at https://zenodo.org/badge/latestdoi/125918416. The codes for null-space shuttle can be found at https://zenodo.org/badge/latestdoi/126001419. This work was supported by the King Abdullah University of Science & Technology (KAUST) Office of Sponsored Research (OSR) under award No. UAPN#2605-CRG4. Computational resources were provided by the Information Technology Division and Extreme Computing Research Center (ECRC) at KAUST.Publisher
American Geophysical Union (AGU)Additional Links
https://onlinelibrary.wiley.com/doi/abs/10.1029/2019JB018687ae974a485f413a2113503eed53cd6c53
10.1029/2019jb018687