Viscoacoustic modeling and imaging using low-rank approximation

Junzhe Sun, Tieyuan Zhu, Sergey Fomel

Research output: Contribution to journalConference article

9 Citations (Scopus)

Abstract

A constant-Q wave equation involving fractional Laplacians was recently introduced for viscoacoustic modeling and imaging. This fractional wave equation suffers from a mixeddomain 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)
Pages (from-to)3997-4002
Number of pages6
JournalSEG Technical Program Expanded Abstracts
Volume33
DOIs
StatePublished - Jan 1 2014
EventSEG Denver 2014 Annual Meeting, SEG 2014 - Denver, United States
Duration: Oct 26 2011Oct 31 2011

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wave equation
Wave equations
reaction time
wave equations
Imaging techniques
approximation
resin transfer molding
modeling
Resin transfer molding
Extrapolation
extrapolation
attenuation
operators

All Science Journal Classification (ASJC) codes

  • Geotechnical Engineering and Engineering Geology
  • Geophysics

Cite this

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title = "Viscoacoustic modeling and imaging using low-rank approximation",
abstract = "A constant-Q wave equation involving fractional Laplacians was recently introduced for viscoacoustic modeling and imaging. This fractional wave equation suffers from a mixeddomain 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.",
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Viscoacoustic modeling and imaging using low-rank approximation. / Sun, Junzhe; Zhu, Tieyuan; Fomel, Sergey.

In: SEG Technical Program Expanded Abstracts, Vol. 33, 01.01.2014, p. 3997-4002.

Research output: Contribution to journalConference article

TY - JOUR

T1 - Viscoacoustic modeling and imaging using low-rank approximation

AU - Sun, Junzhe

AU - Zhu, Tieyuan

AU - Fomel, Sergey

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N2 - A constant-Q wave equation involving fractional Laplacians was recently introduced for viscoacoustic modeling and imaging. This fractional wave equation suffers from a mixeddomain 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.

AB - A constant-Q wave equation involving fractional Laplacians was recently introduced for viscoacoustic modeling and imaging. This fractional wave equation suffers from a mixeddomain 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.

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