Viscoacoustic modeling and imaging using low-rank approximation

Junzhe Sun, Tieyuan Zhu, Sergey Fomel

Research output: Contribution to journalArticlepeer-review

136 Scopus citations


A constant-Q wave equation involving fractional Laplacians was recently introduced for viscoacoustic modeling and imaging. This fractional wave equation has a convenient mixed-domain space-wavenumber formulation, which involves the fractional-Laplacian operators with a spatially varying power. We have applied the low-rank approximation to the mixed-domain symbol, which enables a spacevariable attenuation specified by the variable fractional power of the Laplacians. Using the proposed approximation scheme, we formulated the framework of the Q-compensated reverse time migration (Q-RTM) for attenuation compensation. Numerical examples using synthetic data demonstrated the improved accuracy of using low-rank wave extrapolation with a constant-Q fractional-Laplacian wave equation for seismic modeling and migration in attenuating media. Low-rank Q-RTM applied to viscoacoustic data is capable of producing images comparable in quality with those produced by conventional RTM from acoustic data.

Original languageEnglish (US)
Pages (from-to)A103-A108
Issue number5
StatePublished - Jul 20 2015

All Science Journal Classification (ASJC) codes

  • Geochemistry and Petrology


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