Wavefield Reconstruction in Attenuating Media Using Time-Reversal Checkpointing and K-Space Filtering

References

1. Anderson, J.E., Tan, L. and Wang, D.
   [2012] Time-reversal checkpointing methods for RTM and FWI. Geophysics, 77(4), S93–S103.
   [Google Scholar]
2. Carcione, J.M.
   [2010] A generalization of the Fourier pseudospectral method. Geophysics, 75(6), A53–A56.
   [Google Scholar]
3. Carcione, J.M., Cavallini, F., Mainardi, F. and Hanyga, A.
   [2002] Time-domain Modeling of Constant-Q Seismic Waves Using Fractional Derivatives. Pure and Applied Geophysics, 159(7), 1719–1736.
   [Google Scholar]
4. Chen, W. and Holm, S.
   [2004] Fractional Laplacian time-space models for linear and nonlinear lossy media exhibiting arbitrary frequency power-law dependency. Journal of the Acoustical Society of America, 115(4), 1424–30.
   [Google Scholar]
5. Griewank, A. and Walther, A.
   [2000] Algorithm 799: revolve: an implementation of checkpointing for the reverse or adjoint mode of computational differentiation. Acm Transactions on Mathematical Software, 26(1), 19–45.
   [Google Scholar]
6. Kjartansson, E.
   [1979] Constant Q -wave propagation and attenuation. Journal of Geophysical Research Solid Earth, 84(B9), 4737–4748.
   [Google Scholar]
7. Mcdonal, F.J., Angona, F.A., Mills, R.L., Sengbush, R.L., Nostrand, R.G.V. and White, J.E.
   [1958] ATTENUATION OF SHEAR AND COMPRESSIONAL WAVES IN PIERRE SHALE. Geophysical Prospecting, 23(4), 404–407.
   [Google Scholar]
8. Sun, J., Fomel, S. and Zhu, T.
   [2015] Preconditioning least-squares RTM in viscoacoustic media by Q -compensated RTM. In: Seg Technical Program Expanded Abstracts.
   [Google Scholar]
9. Symes, W.W.
   [2007] Reverse time migration with optimal checkpointing. Geophysics, 72(5), 213–221.
   [Google Scholar]
10. Treeby, B.E. and Cox, B.T.
    [2010] Modeling power law absorption and dispersion for acoustic propagation using the fractional Laplacian. Journal ofthe Acoustical Society ofAmerica, 127(5), 2741–48.
    [Google Scholar]
11. Treeby, B.E., Zhang, E.Z. and Cox, B.T.
    [2010] Photoacoustic tomography in absorbing acoustic media using time reversal. Inverse Problems, 26157(26), 115003–20.
    [Google Scholar]
12. Waters, K.R., Mobley, J. and Miller, J.G.
    [2005] Causality-imposed (Kramers-Kronig) relationships between attenuation and dispersion. IEEE Transactions on Ultrasonics Ferroelectrics & Frequency Control, 52(5), 822–823.
    [Google Scholar]
13. Yang, P., Brossier, R., Métivier, L. and Virieux, J.
    [2016a] A review on the systematic formulation of 3-D multiparameter full waveform inversion in viscoelastic medium. Geophysical Journal International, 207(1).
    [Google Scholar]
14. Yang, P., Brossier, R., Métivier, L. and Virieux, J.
    [2016b] Wavefield reconstruction in attenuating media: A checkpointing-assisted reverse-forward simulation method. 81(6).
    [Google Scholar]
15. Zhu, T.
    [2015] Viscoelastic time-reversal imaging. Geophysics, 80(2), A45–A50.
    [Google Scholar]
16. Zhu, T. and Harris, J.M.
    [2014] Modeling acoustic wave propagation in heterogeneous attenuating media using decoupled fractional Laplacians. Geophysics, 79(3), T105–T116.
    [Google Scholar]
17. Zhu, T., Harris, J.M. and Biondi, B.
    [2014] Q-compensated reverse-time migration. Geophysics, 79(3), S77–S87.
    [Google Scholar]