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 language | English (US) |
|---|---|
| Title of host publication | Society of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014 |
| Publisher | Society of Exploration Geophysicists |
| Pages | 3361-3365 |
| Number of pages | 5 |
| ISBN (Print) | 9781634394857 |
| DOIs | |
| State | Published - Jan 1 2014 |
| Event | Society of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014 - Denver, United States Duration: Oct 26 2014 → Oct 31 2014 |
Publication series
| Name | Society of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014 |
|---|
Other
| Other | Society of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014 |
|---|---|
| Country | United States |
| City | Denver |
| Period | 10/26/14 → 10/31/14 |
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All Science Journal Classification (ASJC) codes
- Geophysics
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Viscoacoustic modeling and imaging using low-rank approximation. / Sun, Junzhe; Zhu, Tieyuan; Fomel, Sergey.
Society of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014. Society of Exploration Geophysicists, 2014. p. 3361-3365 (Society of Exploration Geophysicists International Exposition and 84th Annual Meeting SEG 2014).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - Viscoacoustic modeling and imaging using low-rank approximation
AU - Sun, Junzhe
AU - Zhu, Tieyuan
AU - Fomel, Sergey
PY - 2014/1/1
Y1 - 2014/1/1
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.
UR - http://www.scopus.com/inward/record.url?scp=85051544570&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85051544570&partnerID=8YFLogxK
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
ER -