Compressive-wavefield simulations

TitleCompressive-wavefield simulations
Publication TypeConference
Year of Publication2009
AuthorsFelix J. Herrmann, Yogi A. Erlangga, Tim T.Y. Lin
Conference NameSAMPTA
OrganizationSAMPTA
KeywordsSAMPTA
Abstract

Full-waveform inversion’s high demand on computational resources forms, along with the non-uniqueness problem, the major impediment withstanding its widespread use on industrial-size datasets. Turning modeling and inversion into a compressive sensing problem–-where simulated data are recovered from a relatively small number of independent simultaneous sources–-can effectively mitigate this high-cost impediment. The key is in showing that we can design a sub-sampling operator that commutes with the time-harmonic Helmholtz system. As in compressive sensing, this leads to a reduction in simulation cost. Moreover, this reduction is commensurate with the transform-domain sparsity of the solution, implying that computational costs are no longer determined by the size of the discretization but by transform-domain sparsity of the solution of the CS problem which forms our data. The combination of this sub-sampling strategy with our recent work on implicit solvers for the Helmholtz equation provides a viable alternative to full-waveform inversion schemes based on explicit finite-difference methods.

URLhttps://slim.gatech.edu/Publications/Public/Conferences/SAMPTA/2009/Herrmann09SAMPTAcws/Herrmann09SAMPTAcws.pdf
Citation Keyherrmann2009SAMPTAcws