Nonhyperbolic reflection moveout of $P$-waves: An overview and comparison of reasons

Bibliography

Al-Chalabi, M., 1973, Series approximation in velocity and traveltime computations: Geophys. Prosp., 21, 783-795.

(Discussion in GPR-21-04-0796-0797 with reply by author).

Alkhalifah, T., 1997, Velocity analysis using nonhyperbolic moveout in transversely isotropic media: Geophysics, 62, 1839-1854.

Alkhalifah, T., and I. Tsvankin, 1995, Velocity analysis for transversely isotropic media: Geophysics, 60, 1550-1566.

Bolshykh, S. F., 1956, About an approximate representation of the reflected wave traveltime curve in the case of a multi-layered medium: Applied Geophysics (in Russian), 15, 3-15.

Byun, B. S., D. Corrigan, and J. E. Gaiser, 1989, Anisotropic velocity analysis for lithology discrimination: Geophysics, 54, 1564-1574.

Castle, R. J., 1988, Shifted hyperbolas and normal moveout, in 58th Annual Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts: Soc. Expl. Geophys., Session: S9.3.

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.

de Bazelaire, E., 1988, Normal moveout revisited - inhomogeneous media and curved interfaces: Geophysics, 53, 143-157.

Dellinger, J., F. Muir, and M. Karrenbach, 1993, Anelliptic approximations for TI media: Journal of Seismic Exploration, 2, 23-40.

Fomel, S., 1994, Recurrent formulas for derivatives of a CMP traveltime curve: Russian Geology and Geophysics, 35, 118-126.

Grechka, V., 1998, Transverse isotropy versus lateral heterogeneity in the inversion of P-wave reflection traveltimes: Geophysics, 63, 204-212.

Grechka, V., and I. Tsvankin, 1998, Feasibility of nonhyperbolic moveout inversion in transversely isotropic media: Geophysics, 63, 957-969.

Grechka, V. Y., and G. A. McMechan, 1996, 3-D two-point ray tracing for heterogeneous weakly transversely isotropic media: Geophysics, 61, 1883-1894.

Hubral, P., 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: SEG.

Larner, K., and J. K. Cohen, 1993, Migration error in transversely isotropic media with linear velocity variation in depth: Geophysics, 58, 1454-1467.

Levin, F. K., 1971, Apparent velocity from dipping interface reflections: Geophysics, 36, 510-516.

(Errata in GEO-50-11-2279).

Malovichko, A. A., 1978, A new representation of the traveltime curve of reflected waves in horizontally layered media: Applied Geophysics (in Russian), 91, 47-53, English translation in Sword (1987).

Muir, F., and J. Dellinger, 1985, A practical anisotropic system, in SEP-44: Stanford Exploration Project, 55-58.

Schoenberg, M., F. Muir, and C. Sayers, 1996, Introducing ANNIE: A simple three-parameter anisotropic velocity model for shales: Journal of Seismic Exploration, 5, 35-49.

Sword, C. H., 1987, A Soviet look at datum shift, in SEP-51: Stanford Exploration Project, 313-316.

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

Thomsen, L., 1986, Weak elastic anisotropy: Geophysics, 51, 1954-1966.

(Discussion in GEO-53-04-0558-0560 with reply by author).

Tsvankin, I., 1995, Normal moveout from dipping reflectors in anisotropic media: Geophysics, 60, 268-284.

----, 1996, $P$-wave signatures and notation for transversely isotropic media: An overview: Geophysics, 61, 467-483.

Tsvankin, I., and L. Thomsen, 1994, Nonhyperbolic reflection moveout in anisotropic media: Geophysics, 59, 1290-1304.