TY - GEN
T1 - Viscoacoustic modeling and imaging using low-rank approximation
AU - Sun, Junzhe
AU - Zhu, Tieyuan
AU - Fomel, Sergey
N1 - Funding Information:
We thank TACC (Texas Advanced Computing Center) for providing computational resources. The first author thanks Statoil and other sponsors of the Texas Consortium for Computation Seismology (TCCS) for financial support. The second author thanks the Stanford Wave Physics Lab for financial support.
Publisher Copyright:
© 2014 SEG
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
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U2 - 10.1190/SEG-2014-1596.pdf
DO - 10.1190/SEG-2014-1596.pdf
M3 - Conference contribution
AN - SCOPUS:85051544570
SN - 9781634394857
T3 - Society of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014
SP - 3361
EP - 3365
BT - Society of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014
PB - Society of Exploration Geophysicists
T2 - Society of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014
Y2 - 26 October 2014 through 31 October 2014
ER -