Compressive sensing applied to full-wave form inversion

F. J. Herrmann, Y. Erlangga, T. T.Y. Lin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

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 and/or the model are recovered from a relatively small number of independent simultaneous sources - can effectively mitigate the high cost impediment. The key is in showing that we can design a subsampling 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 schemes based on explicit time-domain finite-difference methods.

Original languageEnglish
Title of host publication71st European Association of Geoscientists and Engineers Conference and Exhibition 2009
Subtitle of host publicationBalancing Global Resources. Incorporating SPE EUROPEC 2009
PublisherSociety of Petroleum Engineers
Pages2051-2055
Number of pages5
ISBN (Print)9781615672363
Publication statusPublished - Jan 1 2009
Event71st European Association of Geoscientists and Engineers Conference and Exhibition 2009 - Amsterdam, Netherlands
Duration: Jun 8 2009Jun 11 2009

Publication series

Name71st European Association of Geoscientists and Engineers Conference and Exhibition 2009: Balancing Global Resources. Incorporating SPE EUROPEC 2009
Volume4

Other

Other71st European Association of Geoscientists and Engineers Conference and Exhibition 2009
CountryNetherlands
CityAmsterdam
Period6/8/096/11/09

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geotechnical Engineering and Engineering Geology
  • Geophysics

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