Convex & non-convex constraint sets for full-waveform inversion

TitleConvex & non-convex constraint sets for full-waveform inversion
Publication TypePresentation
Year of Publication2016
AuthorsBas Peters, Felix J. Herrmann
KeywordsPresentation, SINBAD, SINBADFALL2016, SLIM

We extend some of our previous work on constrained formulations of full-waveform inversion. Some motivating examples illustrate why solving constrained problems directly is a simpler approach for solving non-linear inverse problems than penalized problem formulations. So far we used constraints which can be represented as convex sets, for which most optimization theory is developed. Some non-convex counterparts of convex sets are introduced and examples show that the algorithms developed for convex sets also work well with non-convex sets. The motivation to also explore non-convex sets, is that they sometimes translate prior geological knowledge into mathematical constraints in a more direct way. All presented material is available as a user-friendly toolbox. The toolbox works with any code which can provide a data-misfit function value and a gradient direction.

Citation Keypeters2016SINBADFcnc