Fast algorithms for elastic-wave-mode separation and vector decomposition using low-rank approximation for anisotropic media

Bibliography

Aki, K., and P. Richards, 1980, Quantitative seismology (second edition): University Science Books.

Alkhalifah, T., 2013, Residual extrapolation operators for efficient wavefield construction: Geophysical Journal International, 193, 1027-1034.

Candes, E., L. Demanet, and L. Ying, 2007, Fast computation of fourier integral operators: SIAM J. Sci. Comput., 29, 2464-2494.

Cheng, J. B., and W. Kang, 2012, Propagating pure wave modes in general anisotropic media, part I: P-wave propagators: SEG Technical Program Expanded Abstracts, http://dx.doi.org/10.1190/segam2012-0616.1.

----, 2013, Simulating propagation of separated wave modes in general anisotropic media, part I: P-wave propagators: Geophysics, 79.

Chu, C., B. Macy, and P. Anno, 2011, An accurate and stable wave equation for pure acoustic TTI modleing: SEG Technical Program Expanded Abstracts, 179-184.

Crampin, S., 1984, Effective anisotropic elastic constants for wave propagation through cracked solids: Geophysical Journal of the Royal Astronomical Society, 76, 135-145.

----, 1991, Effects of point singularities on shear-wave propagation in sedimentary basins: Geophysical Journal Internationl, 107, 531-543.

Dellinger, J., 1991, Anisotropic seismic wave propagation: PhD thesis, Stanford University.

Dellinger, J., and J. Etgen, 1990, Wavefield separation in two-dimensional anisotropic media: Geophysics, 55, 914-919.

Engquist, B., and L. Ying, 2008, Fast directional multilevel algorithms for oscillatory kernels: SIAM J. Sci. Comput., 29, 1710-1737.

----, 2009, A fast directional algorithm for high frequency acoustic scattering in two dimensions: Communications Mathematical Sciences, 7, 327-345.

Etgen, J., and S. Brandsberg-Dahl, 2009, The pseudo-analytical method: Application of pseudo-Laplacians to acoustic and acoustic anisotropic wave propagation: SEG Technical Program Expanded Abstracts, 2552-2556.

Fomel, S., L. Ying, and X. Song, 2010, Seismic wave extrapolation using a lowrank symbol approximation: SEG Technical Program Expanded Abstracts, 3092-3096.

----, 2013, Seismic wave extrapolation using lowrank symbol approximation: Geophysical Prospecting, 61, 526-536.

Gazdag, J., and P. Sguazzero, 1984, Migration of seismic data by phase shift plus interpolation: Geophysics, 49, 124-131.

Golub, G., and C. F. V. Loan, 1996, Matrix computations: John Hopkins.

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

Morse, P. M., and H. Feshbach, 1953, Methods of theoretical physics: McGraw-Hill Book Company.

Pestana, R., B. Ursin, and P. L. Stoffa, 2011, Separate P- and SV-wave equations for VTI media: SEG Technical Program Expanded Abstracts, 163-167.

Song, X., and T. Alkhalifah, 2013, Modeling of pseudoacoustic P-waves in orthorhombic media with a low-rank approximation: Geophysics, 78, C33-C40.

Song, X., S. Fomel, and L. Ying, 2013, Lowrank finite-differences and lowrank fourier finite-differences for seismic wave extrapolation in the acoustic approximation: Geophysical Journal International, 193, 960-969.

Song, X., S. Fomel, L. Ying, and T. Ding, 2011, Lowrank finite-difference for wave extrapolation: SEG Technical Program Expanded Abstracts, 3372-3376.

Winterstein, D., 1990, Velocity anisotropy terminology for geophysicists: Geophysics, 55, 1070-1088.

Yan, J., and P. Sava, 2009a, 3D elastic wave mode separation for TTI media: SEG Technical Program Expanded Abstracts, 4294-4298.

----, 2009b, Elastic wave-mode separation for VTI media: Geophysics, 74, WB19-WB32.

----, 2011, Improving the efficiency of elastic wave-mode separation for heterogenous tilted transverse isotropic media: Geophysics, 76, T65-T78.

Ying, L., 2012, A pedestrain introduction to fast multipole methods: Sci. China Math, 55.

Zhang, Q., and G. A. McMechan, 2010, 2D and 3D elastic wavefield vector decomposition in the wavenumber domain for VTI media: Geophysics, 75, D13-D26.

----, 2011, Common-image gathers in the incident phase-angle domain from reverse-time migration in 2D elastic VTI media: Geophysics, 76, S197-S206.