A linearized Bregman method for compressive waveform inversion

Abstract

We present an implementation of a recently developed and relatively simple linearized Bregman method to solve the large-scale ℓ1-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 ℓ1-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 ℓ1-norm sparsity-promoting problems to get the model updates is better than that obtained by solving ℓ2-norm least-squares problems to get the model updates.

Presentation Date: Wednesday, October 19, 2016

Start Time: 10:20:00 AM

Location: 143/149

Presentation Type: ORAL