Hyperbolic Velocity Model

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References

[1] M. Muskat, “A Note on Propagation of Seismic Waves,” Geophysics, Vol. 2, No. 4, 1937, pp. 319-328.
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[2] M. M. Slotnick, “On Seismic Computations, with Applications, Part I,” Geophysics, Vol. 1, No. 1, 1936, pp. 9-22.
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[3] M. M. Slotnick, “Lessons in Seismic Computing,” Society of Exploration Geophysicists, Oklahoma, 1959.

[4] M. M. Slotnick, “On Seismic Computations, with Applications, Part II,” Geophysics, Vol. 1, No. 3, 1936, pp. 299-305. doi:10.1190/1.1437111

[5] M. Al-Chalabi, “Instantaneous Slowness versus Depth Functions,” Geophysics, Vol. 62, No. 1, 1997, pp. 270-273. doi:10.1190/1.1444127

[6] C. H. Chapman and H. Keers, “Application of the Maslov Seismogram Method in Three Dimensions,” Studia Geophysica et Geodaetica, Vol. 46, No. 4, 2002, pp. 615-649. doi:10.1023/A:1021104820892

[7] C. E. Houston, “Seismic Paths, Assuming a Parabolic Increase of Velocity with Depth,” Geophysics, Vol. 4, No. 4, 1939, pp. 232-236. doi:10.1190/1.1440500

[8] M. Al-Chalabi, “Parameter Non-Uniqueness in Velocity versus Depth Functions,” Geophysics, Vol. 62, No. 3, 1997, pp. 970-979. doi:10.1190/1.1444203

[9] L. Y. Faust, “Seismic Velocity as a Function of Depth and Geologic Time,” Geophysics, Vol. 16, No. 2, 1951, pp. 192-206. doi:10.1190/1.1437658

[10] L. Y. Faust, “A Velocity Function Including Lithologic Variation,” Geophysics, Vol. 18, No. 2, 1953, pp. 271-288. doi:10.1190/1.1437869

[11] I. Ravve and Z. Koren, “Exponential Asymptotically Bounded Velocity Model, Part I: Effective Models and Velocity Transformations,” Geophysics, Vol. 71, No. 3, 2006, pp. T53-T65. doi:10.1190/1.2196033

[12] I. Ravve and Z. Koren, “Exponential Asymptotically Bounded Velocity Model, Part II: Ray Tracing,” Geophysics, Vol. 71, No. 3, 2006, pp. T67-T85.
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[13] I. Ravve and Z. Koren, “Conic Velocity Model,” Geophysics, Vol. 72, No. 3, 2007, pp. U31-U46.
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[14] Z. Koren and I. Ravve, “Constrained Dix Inversion,” Geophysics, Vol. 71, No. 6, 2006, pp. R113-R130.
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[15] E. Robein, “Velocities, Time-Imaging and Depth-Imaging in Reflection Seismics: Principles and Methods,” EAGE Publications, Houten, the Netherlands, 2003.

[16] H. Kaufman, “Velocity Functions in Seismic Prospecting,” Geophysics, Vol. 18, No. 2, 1953, pp. 289-297.
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[17] R. M. Corless, G. H. Gonnet, D. G. Hare, D. J. Jeffrey and D. D. Knuth, “On the Lambert W Function,” Advances in Computational Mathematics, Vol. 5, No. 1, 1996, pp. 329-359. doi:10.1007/BF02124750