Curvelet-based migration preconditioning and scaling

Felix J. Herrmann, Cody R. Brown, Yogi A. Erlangga, Peyman P. Moghaddam

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

The extremely large size of typical seismic imaging problems has been a major stumbling block for iterative techniques to attain accurate migration amplitudes. These iterative methods are important because they complement theoretical approaches hampered by difficulties controlling problems such as finite-acquisition aperture, source-receiver frequency response, and directivity. To solve these problems, we apply preconditioning, which significantly improves convergence of least-squares migration. We discuss different levels of preconditioning: corrections for the order of the migration operator, corrections for spherical spreading, and position- and reflector-dip-dependent amplitude errors. Although the first two corrections correspond to simple scalings in the Fourier and physical domain, the third correction requires phase-space (space spanned by location and dip) scaling, which we carry out with curvelets. Our combined preconditioner significantly improves the convergence of least-squares wave-equation migration on a line from the SEG/EAGE AA' salt model.

Original languageEnglish
JournalGeophysics
Volume74
Issue number4
DOIs
Publication statusPublished - 2009
Externally publishedYes

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preconditioning
Wave equations
Iterative methods
Frequency response
Salts
Imaging techniques
scaling
dip
square waves
directivity
wave equation
complement
frequency response
wave equations
reflectors
acquisition
receivers
apertures
salts
salt

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics

Cite this

Herrmann, F. J., Brown, C. R., Erlangga, Y. A., & Moghaddam, P. P. (2009). Curvelet-based migration preconditioning and scaling. Geophysics, 74(4). https://doi.org/10.1190/1.3124753

Curvelet-based migration preconditioning and scaling. / Herrmann, Felix J.; Brown, Cody R.; Erlangga, Yogi A.; Moghaddam, Peyman P.

In: Geophysics, Vol. 74, No. 4, 2009.

Research output: Contribution to journalArticle

Herrmann, FJ, Brown, CR, Erlangga, YA & Moghaddam, PP 2009, 'Curvelet-based migration preconditioning and scaling', Geophysics, vol. 74, no. 4. https://doi.org/10.1190/1.3124753
Herrmann FJ, Brown CR, Erlangga YA, Moghaddam PP. Curvelet-based migration preconditioning and scaling. Geophysics. 2009;74(4). https://doi.org/10.1190/1.3124753
Herrmann, Felix J. ; Brown, Cody R. ; Erlangga, Yogi A. ; Moghaddam, Peyman P. / Curvelet-based migration preconditioning and scaling. In: Geophysics. 2009 ; Vol. 74, No. 4.
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