# A linearized Bregman method for compressive waveform inversion

 Title A linearized {Bregman} method for compressive waveform inversion Publication Type Conference Year of Publication 2016 Authors Xintao Chai, Mengmeng Yang, Philipp A. Witte, Rongrong Wang, Zhilong Fang, Felix J. Herrmann Conference Name SEG Technical Program Expanded Abstracts Page 1449-1454 Month 10 Keywords Bregman method, SEG, waveform inversion Abstract We present an implementation of a recently developed and relatively simple linearized Bregman method to solve the large-scale $\ell_1$-norm sparsity-promoting Gauss-Newton (GN) full-waveform inversion (FWI) problem. Numerical experiments demonstrate that: the much simpler linearized Bregman method does a comparable and even superior job compared to a state-of-the-art $\ell_1$-norm solver SPGL1, which is previously used in the modified Gauss-Newton FWI; the linearized Bregman method is also more efficient (faster) than SPGL1; the FWI result with the linearized Bregman method solving $\ell_1$-norm sparsity-promoting problems to get the model updates is better than that obtained by solving $\ell_2$-norm least-squares problems to get the model updates. Notes (SEG, Dallas) URL https://www.slim.eos.ubc.ca/Publications/Public/Conferences/SEG/2016/chai2016SEGlbm/chai2016SEGlbm.pdf DOI 10.1190/segam2016-13848105.1 Presentation https://www.slim.eos.ubc.ca/Publications/Public/Conferences/SEG/2016/cha... Citation Key chai2016SEGlbm