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Bibliography

Alkhalifah, T., 1998, Acoustic approximations for processing in transversely isotropic media: Geophysics, 63, 623-631.

----, 2000, An acoustic wave equation for anisotropic media: Geophysics, 65, 1239-1250.

Baysal, E., D. D. Kosloff, and J. W. C. Sherwood, 1983, Reverse time migration: Geophysics, 48, 1514-1524.

Casasanta, L., Z. Xue, and S. H. Gray, 2015, Converted wave RTM using lowrank wavefield extrapolation: 77th Annual EAGE Meeting, EAGE, Expanded Abstracts, N116.

Cerjan, C., D. Kosloff, R. Kosloff, and M. Reshef, 1985, A nonreflecting boundary condition for discrete acoustic and elastic wave equations: Geophysics, 50, 705-708.

Chu, C., and P. L. Stoffa, 2011, Compensating for time stepping errors locally in the pseudo- analytical method using normalized pseudo-Laplacian: 81st Annual International Meeting, SEG, Expanded Abstracts, 3059-3063.

Claerbout, J. F., 1985, Imaging the Earth's interior: Blackwell Scientific Publications.

Du, X., R. P. Fletcher, and P. J. Fowler, 2010, Pure P-wave propagators versus pseudo-acoustic propagators for RTM in VTI meida: 72nd Annual EAGE Meeting, EAGE, Expanded Abstracts, C013.

Du, X., P. J. Fowler, and R. P. Fletcher, 2014, Recursive integral time-extrapolation methods for waves: A comparative review: Geophysics, 79, no. 1, T9-T26.

Etgen, J., and S. Brandsberg-Dahl, 2009, The pseudo-analytical method: application of pseudo-Laplacians to acoustic and acoustic anisotropic wave propagation: 79th Annual International Meeting, SEG, Expanded Abstracts, 2552-2556.

Etgen, J., S. Gray, and Y. Zhang, 2009, An overview of depth imaging in exploration geophysics: Geophysics, 74, no. 6, WCA5-WCA17.

Fang, G., S. Fomel, Q. Du, and J. Hu, 2014, Lowrank seismic wave extrapolation on a staggered grid: Geophysics, 79, no. 3, T157-T168.

Farmer, P. A., I. F. Jones, H. Zhou, R. I. Bloor, and M. C. Goodwin, 2006, Application of reverse time migration to complex imaging problems: First Break, 24, 65-73.

Fletcher, R. P., X. Du, and P. J. Fowler, 2009, Reverse time migration in tilted transversely isotropic (TTI) media: Geophysics, 74, no. 6, WCA179-WCA187.

Fomel, S., 2004, On anelliptic approximations for qP velocities in VTI media: Geophysical Prospecting, 52, 247-259.

Fomel, S., L. Ying, and X. Song, 2010, Seismic wave extrapolation using a lowrank symbol approximation: 80th Annual International Meeting, SEG, Expanded Abstracts, 3092-3096.

----, 2013, Seismic wave extrapolation using lowrank symbol approximation: Geophysical Prospecting, 61, no. 3, 526-536.

Fornberg, B., 1998, A practical guide to pseudospectral methods: Cambridge university press, 1.

Fowler, P. J., X. Du, and R. P. Fletcher, 2010a, Coupled equations for reverse time migration in transversely isotropic media: Geophysics, 75, no. 1, S11-S22.

----, 2010b, Recursive integral time extrapolation methods for scalar waves: 80th Annual International Meeting, SEG, Expanded Abstracts, 3210-3215.

Gassmann, F., 1964, Introduction to seismic travel time methods in anisotropic media: Pure and Applied Geophysics, 58, 63-112.

Grigis, A., and J. Sjöstrand, 1994, Microlocal analysis for differential operators: Cambridge University Press, Cambridge, volume 196 of London Mathematical Society Lecture Note Series.
(An introduction).

Kosloff, D., and E. Baysal, 1982, Forward modeling by a Fourier method: Geophysics, 47, 1402-1412.

Leveille, J. P., I. F. Jones, Z. Z. Zhou, B. Wang, and F. Liu, 2011, Subsalt imaging for exploration, production, and development: A review: Geophysics, 76, no. 5, WB3-WB20.

Liu, F., S. A. Morton, S. Jiang, L. Ni, and J. P. Leveille, 2009, Decoupled wave equations for P and SV waves in an acoustic VTI media: 79th Annual International Meeting, SEG, Expanded Abstracts, 2844-2848.

McMechan, G. A., 1983, Migration by extrapolation of time-dependent boundary values: Geophysical Prospecting, 31, 413-420.

Pestana, R. C., and P. L. Stoffa, 2010, Time evolution of the wave equation using rapid expansion method: Geophysics, 75, no. 4, T121-T131.

Reshef, M., D. Kosloff, M. Edwards, and C. Hsiung, 1988, Three-dimensional acoustic modeling by the Fourier method: Geophysics, 53, 1175-1183.

Rickett, J., and P. Sava, 2002, Offset and angle-domain common image-point gathers for shot-profile migration: Geophysics, 67, no. 3, 883-889.

Sava, P., and S. Fomel, 2003, Angle-domain common image gathers by wavefield continuation methods: Geophysics, 68, 1065-1074.

----, 2006, Time-shift imaging condition in seismic migration: Geophysics, 71, no. 6, S209-S217.

Sava, P., and I. Vasconcelos, 2011, Extended imaging conditions for wave-equation migration: Geophysical Prospecting, 59, 35-55.

Schoenberg, M., and K. Helbig, 1997, Orthorhombic media: Modeling elastic wave behavior in a vertically fractured earth: Geophysics, 62, no. 6, 1954-1974.

Song, X., S. Fomel, and L. Ying, 2013, Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation: Geophysical Journal International, 193, no. 2, 960-969.

Soubaras, R., and Y. Zhang, 2008, Two-step explicit marching method for reverse time migration: 78th Annual International Meeting, SEG, Expanded Abstracts, 2272-2276.

Sripanich, Y., and S. Fomel, 2015, On anelliptic approximations for qP velocities in transversely isotropic and orthorhombic media: Geophysics, 80, no. 5, C89-C105.

Stein, E. M., 1993, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals: Princeton University Press, Princeton, NJ, volume 43 of Princeton Mathematical Series.
(With the assistance of Timothy S. Murphy, Monographs in Harmonic Analysis, III).

Sun, J., T. Zhu, and S. Fomel, 2014, Viscoacoustic modeling and imaging using low-rank approximation: 84th Annual International Meeting, SEG, Expanded Abstracts, 3997-4002.

----, 2015, Viscoacoustic modeling and imaging using low-rank approximation: Geophysics, 80, no. 5, A103-A108.

Taner, M. T., F. Koehler, and R. E. Sheriff, 1979, Complex seismic trace analysis: Geophysics, 44, no. 6, 1041-1063.

Tsvankin, I., 1997, Anisotropic parameters and P-wave velocity for orthorhombic media: Geophysics, 62, no. 4, 1292-1309.

Virieux, J., H. Calandra, and R. Plessix, 2011, A review of the spectral, pseudo-spectral, finite-difference and finite-element modelling techniques for geophysical imaging: Geophysical Prospecting, 59, 794-813.

Wards, B. D., G. F. Margrave, and M. P. Lamoureux, 2008, Phase-shift time-stepping for reverse-time migration: 78th Annual International Meeting, SEG, Expanded Abstracts, 2262-2266.

Whitmore, N. D., 1983, Iterative depth migration by backward time propagation: 53rd Annual International Meeting, SEG, Expanded Abstracts, 382-385.

Wu, Z., and T. Alkhalifah, 2014, The optimized expansion based low-rank method for wavefield extrapolation: Geophysics, 79, no. 2, T51-T60.

Ying, L., and S. Fomel, 2009, Fast computation of partial Fourier Transforms: Multiscale Model. Simul., 8, no. 1, 110-124.

Zhang, Y., and G. Zhang, 2009, One-step extrapolation method for reverse time migration: Geophysics, 74, no. 4, A29-A33.

Zhu, T., and J. M. Harris, 2014, Modeling acoustic wave propagation in heterogeneous attenuating media using decoupled fractional Laplacians: Geophysics, 79, no. 3, T105-T116.




2016-11-16