Simulating propagation of decoupled elastic waves using low-rank approximate mixed-domain integral operators for anisotropic media
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Aki, K., and P. Richards, 1980, Quantitative Seismology (second edition): University Science Books.
Bale, R. A., 2003, Modeling 3D anisotropic elastic data using the pseudospectral approach: 70th EAGE Conference and Exhibition 2008, Expanded Abstracts.
Bojarski, N. N., 1982, The k-space formulation of the scattering problem in the time domain: Journal of Acoustic Society of America,
Carcione, J. M., 1999, Staggered mesh for the anisotropic and viscoelastic wave equation: Geophysics,
----, 2007, Wave fields in real media: Wave propagation in anisotropic, anelastic, porous and electromagnetic media: Elsevier Ltd.
Cheng, J. B., and S. Fomel, 2014, Fast algorithms of elastic wave mode separation and vector decomposition using low-rank approximation for anisotropic media: Geophysics,
Cheng, J. B., and W. Kang, 2014, Simulating propagation of separated wave modes in general anisotropic media, Part I: P-wave propagators: Geophysics,
Chu, C., B. Macy, and P. Anno, 2011, An accurate and stable wave equation for pure acoustic TTI modleing: 81st Annual International Meeting, SEG, Expanded Abstracts, 179-184.
Cox, B. T., S. Kara, S. R. Arridge, and P. C. Beard, 2007, K-space propagation models for acoustically heterogeneous media: Application to biomedical photoacoustics: Journal of Accoustic Society of America,
Crampin, S., 1991, Effects of point singularities on shear-wave propagation in sedimentary basin: Geophys. J. Int.,
Dablain, M. A., 1986, The application of high-order differencing to the scalar wave equation: Geophysics,
Dellinger, J., and J. Etgen, 1990, Wavefield separation in two-dimensional anisotropic media: Geophysics,
Du, X., P. J. Fowler, and R. P. Fletcher, 2014, Recursive integral time-extrapolation methods for waves: A comparative review: Geophysics,
Engquist, B., and L. Ying, 2009, A fast directional algorithm for high frequency acoustic scattering in two dimensionsr: Communications Mathematical Sciences,
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.
Fang, G., S. Fomel, Q. Z. Du, and J. W. Hu, 2014, Lowrank seismic wave extrapolation on a staggered grid: Geophysics,
Firouzi, K., B. T. Cox, B. E. Treeby, and N. Saffari, 2012, A first-order k-space model for elastic wave propagation in heterogeneous media: Journal of Acoustic Society of America,
Fomel, S., L. Ying, and X. Song, 2013, Seismic wave extrapolation using lowrank symbol approximation: Geophysical Prospecting, 1-11.
Fowler, P., and R. King, 2011, Modeling and reverse time migration of orthorhombic pseudo-acoustic P-waves: 81st Annual International Meeting, SEG, Expanded Abstracts, 190-195.
Kang, W., and J. B. Cheng, 2012, Propagating pure wave modes in 3D general anisotropic media, Part II: SV and SH wave: 82nd Annual International Meeting, SEG, Expanded Abstracts, 1234-1238.
Kosloff, D., A. Q. Filho, E. Tessmer, and A. Behle, 1989, Numerical solution of the acoustic and elastic wave equation a new rapid expansion method: Geophysical Prospecting,
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: 79th Annual International Meeting, SEG, Expanded Abstracts, 2844-2848.
Liu, Q., 1995, Generalization of the k-space formulation to elastodynamic scattering problems: Journal of Acoustic Society of America,
Liu, Y., and C. Li, 2000, Study of elastic wave propagation in two-phase anisotropic media by numerical modeling of pseudospectral method: Acta Seismologica Sinica,
Ma, D. T., and G. M. Zhu, 2003, P- and s-wave separated elastic wave equation numerical modeling (in Chinese): Oil Geophysical Prospecting,
Ozdenvar, T., and G. McMechan, 1996, Causes and reduction of numerical artifacts in pseudo-spectral wavefield extrapolation: Geophysical Journal International,
Schoenberg, M., and K. Helbig, 1997, Orthorhombic media: Modeling elastic wave behavior in a vertically fractured earth: Geophysics,
Song, X., and T. Alkhalifah, 2013, Modeling of pseudoacoustic p-waves in orthorhombic media with a low-rank approximation: Geophysics,
Sun, J., and S. Fomel, 2013, Low-rank one-step wave extrapolation: 83rd Annual International Meeting, SEG, Expanded Abstracts, 1123-1127.
Sun, R., and G. A. McMechan, 2001, Scalar reverse-time depth migration of prestack elastic seismic data: Geophysics,
Tabei, M., T. D. Mast, and R. C. Waag, 2002, A k-space method for coupled first-roder acoustic propagation equations: Journal of Acoustic Society of America,
Tsvankin, I., 2001, Seismic signatures and analysis of reflection data in anisotropioc media: Elsevier Science Ltd.
Wang, T. F., and J. B. Cheng, 2015, Elastic wave mode decoupling for full waveform inversion: 85th SEG Annual International Meeting, Expanded Abstracts, 1461-1466.
Wapenaar, C. P. A., N. A. Kinneging, and A. J. Berkhout, 1987, Principle of prestack migration based on the full elastic two-way wave equation: Geophysics,
Winterstein, D., 1990, Velocity anisotropy terminology for geophysicists: Geophysics,
Wu, Z., and T. Alkhalifah, 2014, The optimized expansion based low rank method for wavefield extrapolation: Geophysics,
Xu, S., and H. Zhou, 2014, Accurate simulations of pure quasi-p-waves in complex anisotropic media: Geophysics,
Yan, J., and P. Sava, 2008, Isotropic angle domain elastic reverse time migration: Geophysics,
----, 2009, Elastic wave-mode separation for VTI media: Geophysics,
----, 2011, Improving the efficiency of elastic wave-mode separation for heterogenous tilted transverse isotropic media: Geophysics,
Zhan, G., R. C. Pestana, and P. L. Stoffa, 2012, Decoupled equations for reverse time migration in tilted transversely isotropic media: Geophysics,
Zhang, J., Z. Tian, and C. Wang, 2007, P- and s-wave separated elastic wave equation numerical modeling using 2d staggered-grid: 77th Annual International Meeting, SEG, Expanded Abstracts, 2104-2108.
Zhang, Q., and G. A. McMechan, 2010, 2D and 3D elastic wavefield vector decomposition in the wavenumber domain for VTI media: Geophysics,
Zhang, Y., and G. Zhang, 2009, One-step extrapolation method for reverse time migration: Geophysics,