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Bibliography

Bartel, D., M. Busby, J. Nealon, and J. Zaske, 2006, Time to depth conversion and uncertainty assessment using average velocity modeling: 66th Annual International Meetings, SEG Expanded Abstracts, 2166-2170.

Bevc, D., 1997, Imaging complex structures with semirecursive Kirchhoff migration: Geophysics, 62, 577-588.

Bevc, D., J. L. Black, and G. Palacharla, 1995, Plumes: Response of time migration to lateral velocity variation: Geophysics, 60, 1118-1127.

Bishop, T. N., K. P. Bube, R. T. Cutler, R. T. Langan, P. L. Love, J. R. Resnick, R. T. Shuey, D. A. Spindler, and H. W. Wyld, 1985, Tomographic determination of velocity and depth in laterally varying media: Geophysics, 50, 903-923.

Björck, A., 1996, Numerical methods for least squares problems: SIAM.

Black, J. L., and M. A. Brzostowski, 1994, Systematics of time migration errors: Geophysics, 59, 1419-1434.

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

----, 2008, Time-to-depth conversion and seismic velocity estimation using time-migration velocity: Geophysics, 73, no. 5, VE205-VE210.

----, 2009, Analysis and algorithms for a regularized Cauchy problem arising from a nonlinear elliptic PDE for seismic velocity estimation: Journal of Computational Physics, 228, 7388-7411.

Chapman, C., 2004, Fundamentals of seismic wave propagation: Cambridge University Press.

Claerbout, J. F., 1996, Basic earth imaging: http://sepwww.stanford.edu/sep/prof/bei10.2008.pdf.

Dix, C. H., 1955, Seismic velocities from surface measurements: Geophysics, 20, 68-86.

Engl, H. W., M. Hanke, and A. Neubauer, 1996, Regularization of inverse problems: Kluwer Academic Publishers.

Evans, L. C., 2010, Partial differential equations: American Mathematical Society.

Fomel, S., 2003, Time-migration velocity analysis by velocity continuation: Geophysics, 68, 1662-1672.

----, 2007, Shaping regularization in geophysical estimation problems: Geophysics, 72, no. 2, R29-R36.

Franklin, J. B., and J. M. Harris, 2001, A fast marching level set method for monotonically advancing fronts: Journal of Computational Acoustics, 9, 1095-1109.

Haddon, R. A. W., and P. W. Buchen, 1981, Use of Kirchhoff's formula for body wave calculations in the earth: Geophysical Journal of the Royal Astronomical Society, 67, 587-598.

Hestenes, M. R., and E. Stiefel, 1952, Method of conjugate gradients for solving linear systems: Journal of Research of the National Bureau of Standards, 49, 409-436.

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

Iversen, E., and M. Tygel, 2008, Image-ray tracing for joint 3D seismic velocity estimation and time-to-depth conversion: Geophysics, 73, S99-S114.

Larner, K. L., L. Hatton, B. S. Gibson, and I. S. Hsu, 1981, Depth migration of imaged time sections: Geophysics, 46, 734-750.

Li, S., and S. Fomel, 2013, Kirchhoff migration using eikonal-based computation of traveltime source-derivatives: Geophysics, 78, no. 4, S211-S219.

Li, S., S. Fomel, and A. Vladimirsky, 2011, Improving wave-equation fidelity of Gaussian beams by solving the complex eikonal equation: 71st Annual International Meetings, SEG Expanded Abstracts, 3829-3834.

Li, S., A. Vladimirsky, and S. Fomel, 2013, First-break traveltime tomography with the double-square-root eikonal equation: Geophysics, 78, no. 6, U89-U101.

Popov, M. M., 2002, Ray theory and Gaussian beam method for geophysicists: EDUFBA.

Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, 2007, Numerical recipes: The art of scientific computing: Cambridge University Press.

Robein, E., 2003, Velocities, time-imaging and depth-imaging in reflection seismics: EAGE.

Sethian, J., 1999, Fast marching methods: SIAM Review, 41, 199-235.

Sethian, J. A., and A. M. Popovici, 1999, 3-D imaging using higher order fast marching traveltimes: Geophysics, 64, 516-523.

Stork, C., and R. W. Clayton, 1992, Using constraints to address the instabilities of automated prestack velocity analysis: Geophysics, 57, 404-419.

Tikhonov, A. N., 1963, Solution of incorrectly formulated problems and the regularization method: Sovet Math. Dokl., 1035-1038.

Cervený, V., 2001, Seismic ray theory: Cambridge University Press.

Xu, S., H. Chauris, G. Lambaré, and M. Noble, 2001, Common-angle migration: A strategy for imaging complex media: Geophysics, 66, 1877-1894.

Yilmaz, O., 2001, Seismic data analysis: SEG.

Yilmaz, O., I. Tanir, and C. Gregory, 2001, A unified 3-d seismic workflow: Geophysics, 66, 1699-1713.

Zhdanov, M., 2002, Geophysical inverse theory and regularization problems: Elsevier Science.




2015-03-25