References

Al-Dajani, A., and I. Tsvankin, 1998, Non-hyperbolic reflection moveout for horizontal transverse isotropy: Geophysics, 63, no. 5, 1738–1753.

Blias, E., 1981, Approximation for a CMP traveltime function for a stratified medium with curvilinear interfaces and variable bed velocities: Soviet Geology and Geophysics, 22, no. 11, 123–131.

——–, 2006, Some kinematic problems for layered media with shallow velocity anomalies: Russian Geology and Geophysics, 47, no. 5, 587–603.

——–, 2009a, Long-offset NMO approximatiosn for a layered VTI model: Model study: 79th Annual International Meeting Expanded Abstracts, Society of Exploration Geophysicists, 3745–3748.

——–, 2009b, Stacking velocities in the presence of overburden velocity anomalies: Geophysical Prospecting, 57, 323–341.

Blias, E., and S. Gritsenko, 2003, Stacking velocities for different offsets in the medium with laterally inhomogeneous layers: 73th Annual International Meeting Expanded Abstracts, Society of Exploration Geophysicists, 2160–2163.

Blias, E., and V. Khatchatran, 2003, Optimization approach to traveltime inversion for a medium with laterally inhomogeneous curvilinear layers: 73th Annual International Meeting Expanded Abstracts, Society of Exploration Geophysicists, 670–673.

Blyas, E., S. A. Gritsenko, and V. S. Chernjak, 1984, Time field derivatives in stratified media: Soviet Geology and Geophysics, 25, no. 5, 75–81.

Buland, A., O. Kolbjørnsen, and A. J. Carter, 2011, Bayesian dix inversion: Geophysics, 76, no. 2, R15–R22.

Cameron, M. K., S. B. Fomel, and J. A. Sethian, 2007, Seismic velocity estimation from time migration: Inverse Problems, 23, 1329–1369.

Chernjak, V. S., and S. A. Gritsenko, 1979, Interpretation of effective common-depth-point parameters for a spatial system of homogeneous beds with curved boundaries: Soviet Geology and Geophysics, 20, 91–98.

Claerbout, J., 1996, Basic Earth Imaging.
(http://sepwww.stanford.edu/sep/prof/bei11.2010.pdf).

Fomel, S., 1994, Recurrent formulas for derivatives of a CDP travel-time curve: Russian Geology and Geophysics, 35, no. 2, 118–126.

——–, 2014, Transforming prestack seismic data by gardner continuation: 84th Annual International Meeting Expanded Abstracts, Society of Exploration Geophysicists, 4643–4649.

Fomel, S., and V. Grechka, 2001, Nonhyperbolic reflection moveout of P-waves: An overview and comparison of reasons, in CWP-372.

Fomel, S., E. Landa, and M. T. Taner, 2007, Poststack velocity analysis by separation and imaging of seismic diffractions: Geophysics, 72, no. 6, U89–U94.

Fomel, S., and A. Stovas, 2010, Generalized nonhyperbolic moveout approximation: Geophysics, 75, no. 2, U9–U18.

Goldin, S. V., 1986, Seismic Traveltime Inversion: Society of Exploration Geophysicists.

Grechka, V., A. Pech, and I. Tsvankin, 2002, P-wave stacking-velocity tomography for VTI media: Geophysical Prospecting, 50, 151–168.

Grechka, V., and I. Tsvankin, 1998, 3-D description of normal moveout in anisotropic inhomogeneous media: Geophysics, 63, no. 3, 1079–1092.

——–, 1999, 3-D moveout inversion in azimuthally anisotropic media with lateral velocity variation: Theory and a case study: Geophysics, 64, no. 4, 1202–1218.

——–, 2002, NMO velocity surfaces and Dix-type formulas in anisotropic heterogeneous media: Geophysics, 67, 939–951.

Gritsenko, S. A., 1984, Time field derivatives: Soviet Geology and Geophysics, 25, 103–109.

——–, 2013, Imaging of Geological Sections and Velocity Estimation by Common Depth Point: VSEGEI Press.
(in Russian).

Gritsenko, S. A., and V. S. Chernjak, 2001, Linearized traveltime inversion of reflections from the bottom of a layer with laterally variable interval velocity: Geofizika, 19–24.

Hubral, P., 1977, Time migration—some ray theoretical aspects: Geophysical Prospecting, 25, 738–745.

——–, 1983, Computing true amplitude reflections in a laterally inhomogeneous earth: Geophysics, 48, 1051–1062.

Hubral, P., and T. Krey, 1980, Interval Velocities from Seismic Reflection Time Measurements: Society of Exploration Geophysicists.

Iversen, E., M. Tygel, B. Ursin, and M. V. de Hoop, 2012, Kinematic time migration and demigration of reflections in pre-stack seismic data: Geophys. J. Int., 189, 1635–1666.

Jones, L. E. A., and H. F. Wang, 1981, Ultrasonic velocities in cretaceous shales from the williston basin: Geophysics, 46, 288–297.

Koren, Z., and I. Ravve, 2006, Constrained Dix inversion: Geophysics, 71, no. 6, R113–R130.

——–, 2017, Normal moveout coefficients for horizontally layered triclinic media: Geophysics, 82, no. 4, WA119–WA145.

Krey, T., 1976, Computation of interval velocities from common reflection point moveout times for n layers with arbitrary dips and curvatures in three dimensions when assuming small shot-geophone distances: Geophysical Prospecting, 24, 91–111.

Li, S., and S. Fomel, 2015, A robust approach to time-to-depth conversion and interval velocity estimation from time migration in the presence of lateral velocity variations: Geophysical Prospecting, 63, 315–337.

Lynn, W. S., and J. F. Claerbout, 1982, Velocity estimation in laterally varying media: Geophysics, 47, no. 6, 884–897.

Pech, A., and I. Tsvankin, 2004, Quartic moveout coefficient for a dipping azimuthally anisotropic layer: Geophysics, 69, no. 3, 699–707.

Pech, A., I. Tsvankin, and V. Grechka, 2003, Quartic moveout coefficient: 3D description and application to tilted TI media: Geophysics, 68, no. 5, 1600–1610.

Reshef, M., and E. Landa, 2009, Post-stack velocity analysis in the dip-angle domain using diffractions: Geophysical Prospecting, 57, no. 5, 811–821.

Schleicher, J., M. Tygel, and P. Hubral, 2007, Seismic True-Amplitude Imaging: Society of Exploration Geophysicists.

Sripanich, Y., and S. Fomel, 2014, Two-point seismic ray tracing in layered media useing bending: 84th Annual International Meeting Expanded Abstracts, Society of Exploration Geophysicists, 3371–3376.

——–, 2015, On anelliptic approximations for qP velocities in TI and orthorhombic media: Geophysics, 80, no. 5, C89–C105.

——–, 2016, Theory of interval traveltime parameter estimation in layered anisotropic media: Geophysics, 81, no. 5, C253–C263.

——–, 2018, Fast time-to-depth conversion and interval velocity estimation in the case of weak lateral variations: Geophysics, 83, no. 3, S227–S235.

Sripanich, Y., S. Fomel, A. Stovas, and Q. Hao, 2017, 3D generalized nonhyperboloidal moveout approximation: Geophysics, 82, no. 2, C49–C59.

Takanashi, M., and I. Tsvankin, 2011, Correction for the influence of velocity lenses on nonhyperbolic moveout inversion for VTI media: Geophysics, 76, no. 3, WA13–WA21.

——–, 2012, Moveout analysis of wide-azimuth data in the presence of lateral velocity variation: Geophysics, 77, no. 3, U49–U62.

Taner, M. T., and F. Koehler, 1969, Velocity spectra – Digital computer derivation and applications of velocity functions: Geophysics, 34, 859–881.

Thomsen, L., 2014, Understanding Seismic Anisotropy in Exploration and Exploitation, 2 ed.: Society of Exploration Geophysicists and European Association of Geoscientists and Engineers.

Tsvankin, I., 2012, Seismic Signatures and Analysis of Reflection Data in Anisotropic Media: Society of Exploration Geophysicists.

Tsvankin, I., and V. Grechka, 2011, Seismology of Azimuthally Anisotropic Media and Seismic Fracture Characterization: Society of Exploration Geophysicists.

Ursin, B., and A. Stovas, 2006, Traveltime approximations for a layered transversely isotropic medium: Geophysics, 71, no. 2, D23–D33.

Valente, L. S., H. B. Santos, J. C. Costa, and J. Schleicher, 2017, Time-to-depth conversion and velocity estimation by image-wavefront propagation: Geophysics, 82, no. 6, U75–U85.

Vernik, L., and X. Liu, 1997, Velocity anisotropy in shales: A petrophysical study: Geophysics, 62, 521–532.

Wang, Z., 2002, Seismic anisotropy in sedimentary rocks, Part 2: Laboratory data: Geophysics, 67, 1423–1440.

Yilmaz, O., 2001, Seismic data analysis, 2 ed.: Society of Exploration Geophysicists.




2024-07-04