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: Balancing Global Resources. Incorporating SPE EUROPEC 2009
PublisherSociety of Petroleum Engineers
Pages2051-2055
Number of pages5
Volume4
ISBN (Print)9781615672363
Publication statusPublished - 2009
Externally publishedYes
Event71st European Association of Geoscientists and Engineers Conference and Exhibition 2009 - Amsterdam, Netherlands
Duration: Jun 8 2009Jun 11 2009

Other

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

Fingerprint

inversions
costs
waveforms
transform
cost
Mathematical transformations
Helmholtz equation
Costs
Helmholtz equations
Finite difference time domain method
finite difference method
finite difference time domain method
resources
sampling
Sampling
harmonics
operators
resource
modeling
simulation

ASJC Scopus subject areas

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

Cite this

Herrmann, F. J., Erlangga, Y., & Lin, T. T. Y. (2009). Compressive sensing applied to full-wave form inversion. In 71st European Association of Geoscientists and Engineers Conference and Exhibition 2009: Balancing Global Resources. Incorporating SPE EUROPEC 2009 (Vol. 4, pp. 2051-2055). Society of Petroleum Engineers.

Compressive sensing applied to full-wave form inversion. / Herrmann, F. J.; Erlangga, Y.; Lin, T. T Y.

71st European Association of Geoscientists and Engineers Conference and Exhibition 2009: Balancing Global Resources. Incorporating SPE EUROPEC 2009. Vol. 4 Society of Petroleum Engineers, 2009. p. 2051-2055.

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

Herrmann, FJ, Erlangga, Y & Lin, TTY 2009, Compressive sensing applied to full-wave form inversion. in 71st European Association of Geoscientists and Engineers Conference and Exhibition 2009: Balancing Global Resources. Incorporating SPE EUROPEC 2009. vol. 4, Society of Petroleum Engineers, pp. 2051-2055, 71st European Association of Geoscientists and Engineers Conference and Exhibition 2009, Amsterdam, Netherlands, 6/8/09.
Herrmann FJ, Erlangga Y, Lin TTY. Compressive sensing applied to full-wave form inversion. In 71st European Association of Geoscientists and Engineers Conference and Exhibition 2009: Balancing Global Resources. Incorporating SPE EUROPEC 2009. Vol. 4. Society of Petroleum Engineers. 2009. p. 2051-2055
Herrmann, F. J. ; Erlangga, Y. ; Lin, T. T Y. / Compressive sensing applied to full-wave form inversion. 71st European Association of Geoscientists and Engineers Conference and Exhibition 2009: Balancing Global Resources. Incorporating SPE EUROPEC 2009. Vol. 4 Society of Petroleum Engineers, 2009. pp. 2051-2055
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