Three dimensional traveltime computation using the fast marching method

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 3453, Issue , 1998, Pages 82-93

  Popovici, Alexander Mihai ^a,b   Sethian, James A ^a,b  

^a 3DGeo Development Inc   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Eikonal; Fast marching method; Imaging; Migration; Prestack; Seismic processing; Traveltime

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; ELECTROMAGNETIC WAVE PROPAGATION; IMAGING TECHNIQUES; PROBLEM SOLVING; WAVEFRONTS;

FAST MARCHING METHOD;

SEISMIC PROSPECTING;

EID: 0038746984     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.323280     Document Type: Conference Paper

References (23)

1. Adalsteinsson, D., and Sethian, J.A., 1995, A fast level set method for propagating interfaces: Journal of Computational Physics, 118, 269-277.
2. Alkhalifah, T., and Fomel, S., 1997, Implementing the fast marching eikonal solver: Spherical versus Cartesian coordinates: Stanford Exploration Project Report, 95, 149-171.
3. Aminzadeh, F., Burkhard, N., Kunz, T., Nicoletis, L., Rocca, F., 1995, 3-D Modeling Project: 3rd report: The Leading Edge, 14, 125-128.
4. Chopp, D. L., 1993, Computing minimal surfaces via level set curvature flow: Journal of Computational Physics, 106, 77-91.
5. Malladi, R., and Sethian, J.A., 1996, An O(N log N) Algorithm for Shape Modeling: Proceedings of the National Academy of Sciences, 93, 9389-9392.
6. Nichols, D.E., 1996, Maximum energy traveltimes calculated in the seismic frequency band: Geophysics, 61, 253-263.
7. Osher, S., and Sethian, J.A., 1988, Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulation: Journal of Computational Physics, 79 12-49.
8. Podvin, P., and Lecomte, I., 1991, Finite-difference computation of traveltimes in very contrasted velocity models: A massively parallel approach and its associated tools: Geophys. J. Int., 105, 271-284.
9. Popovici, A. M., 1991a, Finite-difference traveltime maps: Stanford Exploration Project Report 70, 245-256.
10. Popovici, A. M., 1991b, Stability of finite-difference traveltime algorithms: Stanford Exploration Project Report 72, 135-138.
11. Rouy, E. and Tourin, A., 1992, A Viscosity Solutions Approach to Shape-From-Shading: SIAM J. Num. Anal, 29, 867-884.
12. Schneider, W.A.,Jr., 1995, Robust and efficient upwind finite-difference traveltime calculations in three dimensions: Geophysics, 60, 1108-1117.
13. Sethian, J.A., 1982, An Analysis of Flame Propagation: Ph.D. Dissertation, Mathematics, University of California, Berkeley.
14. Sethian, J.A., 1985, Curvature and the evolution of fronts: Commun, in Math. Physics, 101, 487-499.
15. Sethian, J.A., 1987, Numerical methods for propagating fronts: Variational methods for free surface interfaces, edited by P. Concus and R. Finn, Springer-Verlag, New Work.
16. Sethian, J.A., 1990, Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws: Jour, of Diff. Geom., 31, 131-161.
17. Sethian, J.A., 1996a, A Fast Marching Level Set Method for Monotonically Advancing Fronts: Proc. Nat. Acad. Sci., 93.
18. Sethian, J. A., 1996b, A review of the theory, algorithms, and applications of level set methods for propagating interfaces: Act Numerica, Cambridge University Press.
19. Sethian, J. A., 1996c, Level Set Methods: Cambridge University Press.
20. van Trier, J., and Symes, W., 1991, Upwind finite difference calculation of traveltimes: Geophysics, 56, 812-821.
21. Vidale, J.E., 1988, Finite-difference traveltime calculation: Bull. Seis. Soc. Am., 78, 2062-2076.
22. Vidale, J.E., 1990, Finite-difference calculation of traveltimes in three dimensions: Geophysics, 55, 521-526.
23. Vinje, V., Iversen, E., Gjoystdal, H., 1993, Traveltime and amplitude estimation using wavefront construction: Geophysics, 58, 1157-1166.