Viscoacoustic modeling and imaging using low-rank approximation

Junzhe Sun, Tieyuan Zhu, Sergey Fomel

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

7 Scopus citations

Abstract

A constant-Q wave equation involving fractional Laplacians was recently introduced for viscoacoustic modeling and imaging. This fractional wave equation suffers from a mixed-domain problem, because it involves the fractional-Laplacian operators with a spatially varying power. We propose to apply low-rank approximation to the mixed-domain symbol, which allows for an arbitrarily variable fractional power of the Laplacians. Using the new low-rank scheme, we formulate the framework of the Q-compensated reverse-time migration (RTM) and least-squares RTM (LSRTM) for attenuation compensation. Numerical examples using synthetic data demonstrate the advantage of using low-rank wave extrapolation with a constant-Q fractional-Laplacian wave equation for seismic modeling, Q-compensated RTM, as well as LSRTM.

Original languageEnglish (US)
Title of host publicationSociety of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014
PublisherSociety of Exploration Geophysicists
Pages3361-3365
Number of pages5
ISBN (Print)9781634394857
DOIs
StatePublished - Jan 1 2014
EventSociety of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014 - Denver, United States
Duration: Oct 26 2014Oct 31 2014

Publication series

NameSociety of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014

Other

OtherSociety of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014
CountryUnited States
CityDenver
Period10/26/1410/31/14

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All Science Journal Classification (ASJC) codes

  • Geophysics

Cite this

Sun, J., Zhu, T., & Fomel, S. (2014). Viscoacoustic modeling and imaging using low-rank approximation. In Society of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014 (pp. 3361-3365). (Society of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014). Society of Exploration Geophysicists. https://doi.org/10.1190/SEG-2014-1596.pdf