Interpolating solutions of the helmholtz equation with compressed sensing

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

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We present an algorithm which allows us to model wavefields with frequency-domain methods using a much smaller number of frequencies than that typically required by the classical sampling theory in order to obtain an alias-free result. The foundation of the algorithm is the recent results on the compressed sensing, which state that data can be successfully recovered from an incomplete measurement if the data is sufficiently sparse. Results from numerical experiment show that only 30%; of the total frequency spectrum is need to capture the full wavefield information when working in the hard 2D synthetic Marmousi model.

Original languageEnglish
Pages (from-to)2122-2126
Number of pages5
JournalSEG Technical Program Expanded Abstracts
Volume27
Issue number1
DOIs
Publication statusPublished - Jan 2008
Externally publishedYes

Fingerprint

Helmholtz equation
Compressed sensing
Helmholtz equations
Sampling
sampling
experiment
Experiments
method

Keywords

  • Inversion
  • Modeling
  • Nonlinear
  • Wave equation
  • Wave propagation

ASJC Scopus subject areas

  • Geophysics
  • Geotechnical Engineering and Engineering Geology

Cite this

Interpolating solutions of the helmholtz equation with compressed sensing. / Lin, Tim T Y; Lebed, Evgeniy; Erlangga, Yogi A.; Herrmann, Felix J.

In: SEG Technical Program Expanded Abstracts, Vol. 27, No. 1, 01.2008, p. 2122-2126.

Research output: Contribution to journalArticle

Lin, Tim T Y ; Lebed, Evgeniy ; Erlangga, Yogi A. ; Herrmann, Felix J. / Interpolating solutions of the helmholtz equation with compressed sensing. In: SEG Technical Program Expanded Abstracts. 2008 ; Vol. 27, No. 1. pp. 2122-2126.
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