Compressive simultaneous full-waveform simulation

Tim T.Y. Lin, Felix J. Herrmann, Yogi A. Erlangga

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

Abstract

The fact that the computational complexity of wavefield simulation is proportional to the size of the discretized model and acquisition geometry, and not to the complexity of the simulated wavefield, is a major impediment within seismic imaging. By turning simulation into a compressive sensing problem - where simulated data is recovered from a relatively small number of independent simultaneous sources - we remove this impediment by showing that compressively sampling a simulation is equivalent to compressively sampling the sources, followed by solving a reduced system. As in com-pressive sensing, this allows for a reduction in sampling rate and hence in simulation costs. We demonstrate this principle for the time-harmonic Helmholtz solver. The solution is computed by inverting the reduced system, followed by a recovery of the full wavefield with a sparsity promoting program. Depending on the wavefield's sparsity, this approach can lead to significant cost reductions, in particular when combined with the implicit preconditioned Helmholtz solver, which is known to converge even for decreasing mesh sizes and increasing angular frequencies. These properties make our scheme a viable alternative to explicit time-domain finite-differences.

Original languageEnglish
Title of host publication79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009
PublisherSociety of Exploration Geophysicists
Pages2577-2581
Number of pages5
ISBN (Print)9781615675661
DOIs
Publication statusPublished - Jan 1 2009
Event79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009 - Houston, United States
Duration: Oct 25 2009Oct 30 2009

Publication series

Name79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009

Other

Other79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009
CountryUnited States
CityHouston
Period10/25/0910/30/09

ASJC Scopus subject areas

  • Geophysics

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