Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation in the acoustic approximation
Next:
About this document ...
Up:
Song, Fomel, & Ying:
Previous:
Conclusions
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.
Alkhalifah, T., and I. Tsvankin, 1995, Velocity analysis for transversely isotropic media: Geophysics,
60
, 1550-1566.
Billette, F. J., and S. Brandsberg-Dahl, 2004, The 2004 BP velocity benchmark: 67th Annual EAGE Meeting, EAGE, Expanded Abstracts, B305.
Cheng, J., and W. Kang, 2012, Propagating pure wave modes in 3D general anisotropic media, Part I: P-wave propagator: 82nd Ann. Internat. Mtg., Soc. Expl. Geophys., Accepted.
Chu, C., and P. L. Stoffa, 2011, Application of normalized pseudo-Laplacian to elastic wave modeling on staggered grids: Geophysics,
76
, T113-T121.
Dablain, M. A., 1986, The application of high-order differencing to the scalar wave equation: Geophysics,
51
, 54-66.
Duveneck, E., P. Milcik, P. M. Bakker, and C. Perkins, 2008, Acoustic VTI wave equations and their application for anisotropic reverse-time migration: 78th Ann. Internat. Mtg., Soc. Expl. Geophys., 2186-2190.
Engquist, B., and L. Ying, 2009, A fast directional algorithm for high frequency acoustic scattering in two dimensions: Commun. Math. Sci.,
7
, 327-345.
Etgen, J., 1989, Accurate wave equation modeling: SEP-60, 131-148.
Etgen, J., and S. Brandsberg-Dahl, 2009, The pseudo-analytical method: application of pseudo-Laplacians to acoustic and acoustic anisotropic wave propagation: 79nd Annual International Meeting, SEG, Expanded Abstracts, 2552-2556.
Etgen, J., S. H. Gray, and Y. Zhang, 2009, An overview of depth imaging in exploration geophysics: Geophysics,
74
, WCA5-WCA17.
Finkelstein, B., and R. Kastner, 2007, Finite difference time domain dispersion reduction schemes: Journal of Computational Physics,
221
, 422-438.
Fletcher, R. P., X. Du, and P. J. Fowler, 2009, Reverse time migration in tilted transversely isotropic (TTI) media: Geophysics,
74
, 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 Ann. Internat. Mtg., Soc. Expl. Geophys., 3092-3096.
----, 2012, Seismic wave extrapolation using lowrank symbol approximation: Geophysical Prospecting.
Fornberg, B., 2002, A practical guide to pseudo-spectral methods (cambridge monographs on applied and computational mathematics): Cambridge University Press.
Fowler, P. J., and C. Lapilli, 2012, Generalized pseudospectral methods for modeling and reverse-time migration in orthorhombic media: 74th Annual EAGE Meeting, EAGE, Expanded Abstracts, AO22.
Gazdag, J., 1981, Modeling of the acoustic wave equation with transform methods: Geophysics,
46
, 854-859.
Geller, R. J., and N. Takeuchi, 1995, A new method for computing highly accurate DSM synthetic seismograms: Geophys. J. Int.,
123
, 449-470.
----, 1998, Optimally accurate second-order time domain finite difference scheme for the elastic equation of motion: 1-D case: Geophys. J. Int.,
135
, 48-62.
Grechka, V., L. Zhang, and J. W. Rector, 2004, Shear waves in acoustic anisotropic media: Geophysics,
69
, 576-582.
Holberg, O., 1987, Computational aspect of the choice of operator and sampling interval for numerical differentiation in large scale simulation of wave phenomena: Geophysical Prospecting,
35
, 629-655.
----, 1988, Towards optimum one-way wave propagation: Geophysics,
36
, 99-114.
Kindelan, M., A. Kamel, and P. Sguazzero, 1990, On the construction and efficiency of staggered numerical differentiators for the wave equation: Geophysics,
55
, 107-110.
Liu, Y., and M. K. Sen, 2009, A new time-space domain high-order finite-difference method for the acoustic wave equation: Journal of Computational Physics,
228
, 8779-8806.
----, 2011, Finite-difference modeling with adaptive variable-length spatial operators: Geophysics,
76
, T79-T89.
Mousa, W. A., M. van der Baan, S. Boussakta, and D. C. McLernon, 2009, Designing stable extrapolators for explicit depth extrapolation of 2D and 3D wavefields using projections onto convex sets: Geophysics,
74
, S33-S45.
Ristow, D., and T. Ruhl, 1994, Fourier finite-difference migration: Geophysics,
59
, 1882-1893.
Shah, H., 2007, The 2007 BP anisotropic velocity-analysis benchmark: 70th Annual EAGE Meeting, EAGE, workshop.
Song, X., and S. Fomel, 2011, Fourier finite-difference wave propagation: Geophysics,
76
, T123-T129.
Song, X., K. Nihei, and J. Stefani, 2012, Seismic modeling in acoustic variable-density media by fourier finite differences: 82th Ann. Internat. Mtg., Accepted.
Soubaras, R., 1996, Explicit 3-D migration using equiripple polynomial expansion and laplacian synthesis: Geophysics,
61
, 1386-1393.
Soubaras, R., and Y. Zhang, 2008, Two-step explicit marching method for reverse time migration: 78th Ann. Internat. Mtg., Soc. Expl. Geophys., 2272-2276.
Tabei, M., T. D. Mast, and R. C. Waag, 2002, A k-space method for coupled first-order acoustic propagation equations: J. Acoust. Soc. Am.,
111
, 53-63.
Takeuchi, N., and R. J. Geller, 2000, Optimally accurate second order time-domain finite difference scheme for computing synthetic seismograms in 2-D and 3-D media: Phys. Earth Planet. Int.,
119
, 99-131.
Thomsen, L., 1986, Weak elastic anisotropy: Geophysics,
51
, 1954-1966.
Wu, W., L. R. Lines, and H. Lu, 1996, Analysis of high-order, finite-difference schemes in 3-D reverse-time migration: Geophysics,
61
, 845-856.
Yoon, K., S. Suh, J. Ji, J. Cai, and B. Wang, 2010, Stability and speedup issues in TTI RTM implementation: 80th Ann. Internat. Mtg., Soc. Expl. Geophys., 3221-3225.
Zhan, G., R. C. Pestana, and P. L. Stoffa, 2012, Decoupled equations for reverse time migration in tilted transversely isotropic media: Geophysics,
77
, T37-T45.
Zhang, H., G. Zhang, and Y. Zhang, 2009, Removing s-wave noise in TTI reverse time migration: 79th Ann. Internat. Mtg., Soc. Expl. Geophys., 2849-2853.
Zhang, H., and Y. Zhang, 2008, Reverse time migration in 3D heterogeneous TTI media: 78th Ann. Internat. Mtg., Soc. Expl. Geophys., 2196-2200.
2013-07-26