Seismic tomography, adjoint methods, time reversal and banana-doughnut kernels

Geophysical Journal International

Volumn 160, Issue 1, 2005, Pages 195-216

  Tromp, Jeroen ^a   Tape, Carl ^a   Liu, Qinya ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DATA PROCESSING; SEISMIC TOMOGRAPHY;

EID: 13344261374     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2004.02453.x     Document Type: Article

References (41)

1. Akçelik, V., Biros, G. & Ghattas, O., 2002. Parallel multiscale Gauss-Newton-Krylov methods for inverse wave propagation, Proceedings of the ACM/IEEE Supercomputing SC'2002 Conference, published on CD-ROM and at http://www.sc-conference.org/sc2002/
2. Akçelik, V. et al., 2003. High resolution forward and inverse earthquake modeling on terascale computers, Proceedings of the ACM/IEEE Supercomputing SC'2003 Conference, published on CD-ROM and at http://www.sc-conference.org/sc2003/paperpdfs/pap298.pdf
3. Aki, K. & Richards, P.G., 1980. Quantitative Seismology, Theory and Methods, W H. Freeman, San Francisco, CA.
4. Burge, H.-P., Hagelberg, C.R. & Travis, B.J., 2003. Mantle circulation models with variational data assimilation: inferring past mantle flow and structure from plate motion histories and seismic tomography, Geophys. J. Int., 152, 280-301.
5. Capdeville, Y., Chaljub, E., Vilotte, J.P. & Montagner, J.P., 2003. Coupling the spectral element method with a modal solution for elastic wave propagation in global Earth models, Geophys. J. Int., 152, 34-67.
6. Chen, P., Jordan, T. & Zhao, L., 2004. Generalized Seismological Data Functionals (GSDF) for broadband seismic waveform analysis and inversion, Geophys. J. Int., in preparation.
7. Crase, E., Pica, A., Noble, M., McDonald, J. & Tarantola, A., 1990. Robust elastic non-linear waveform inversion: application to real data, Geophysics, 55, 527-538.
8. Dahlen, F.A., 2004. Finite-frequency sensitivity kernels for boundary topography perturbations, Geophys. J. Int., in preparation.
9. Dahlen, F. & Baig, A.M., 2002. Fréchet kernels for body wave amplitudes, Geophys. J. Int., 150, 440-466.
10. Dahlen, F.A. & Tromp, J., 1998. Theoretical Global Seismology, Princeton University Press, Princeton, NJ.
11. Dahlen, F.A., Nolet, G. & Hung, S.-H., 2000. Fréchet kernels for finite-frequency traveltime-I. Theory, Geophys. J. Int., 141, 157-174.
12. Fink, M., 1992. Time reversal of ultrasonic field-Part I: Basic principles, IEEE Trans. Ultras. Ferroelectr. Freq. Contr., 39, 555-566.
13. Fink, M., 1997. Time reversed acoustics, Phys. Today, 50, 34-40.
14. Fink, M., Prada, C., Wu, F. & Cassereau, D., 1989. Self focusing in inhomogeneous media with time reversal acoustic mirrors, IEEE Ultrason. Symp. Proc., 1, 681-686.
15. Fletcher, R. & Reeves, C., 1964. Function minimization by conjugate gradients, Comput. J., 7, 149-154.
16. Gauthier, O., Virieux, J. & Tarantola, A., 1986. Two-dimensional non-linear inversion of seismic waveforms: numerical results, Geophysics, 51, 1387-1403.
17. Gee, L. & Jordan, T., 1992. Generalized seismological data functionals, Geophys. J. Int., 111, 363-390.
18. Hudson, J.A., 1977. Scattered waves in the coda of P, J. Geophys., 43, 359-374.
19. Hung, S.-H., Dahlen, F.A. & Nolet, G., 2000. Fréchet kernels for finite-frequency traveltime-II. Examples, Geophys. J. Int., 141, 175-203.
20. Komatitsch, D. & Tromp, J., 1999. Introduction to the spectral-element method for 3-D seismic wave propagation, Geophys. J. Int., 139, 806-822.
21. Komatitsch, D. & Tromp, J., 2002a. Spectral-element simulations of global seismic wave propagation-I. Validation, Geophys. J. Int., 149, 390-412.
22. Komatitsch, D. & Tromp, J., 2002b. Spectral-element simulations of global seismic wave propagation-II. 3-D models, oceans, rotation, and self-gravitation, Geophys. J. Int., 150, 303-318.
23. Komatitsch, D., Ritsema, J. & Tromp, J., 2002. The spectral-element method, Beowulf computing, and global seismology, Science, 298, 1737-1742.
24. Komatitsch, D., Liu, Q., Tromp, J., Süss, P., Stidham, C. & Shaw, J.H., 2004. Simulations of strong ground motion in the Los Angeles Basin based upon the spectral-element method, Bull. seism. Soc. Am., 94, 187-206.
25. Liu, H.P., Anderson, D.L. & Kanamori, H., 1976. Velocity dispersion due to anelasticity: implications for seismology and mantle composition, Geophys. J. R. astr. Soc., 47, 41-58.
26. Luo, Y. & Schuster, G.T., 1991. Wave-equation traveltime tomography, Geophysics, 56, 645-653.
27. Marquering, H., Dahlen, F. & Nolet, G., 1999. Three-dimensional sensitivity kernels for finite-frequency traveltimes: the banana-doughnut paradox, Geophys. J. Int., 137, 805-815.
28. Montelli, R., Nolet, G., Dahlen, F., Masters, G., Engdahl, E.R. & Hung, S.-H., 2004. Finite-frequency tomography reveals a variety of plumes in the mantle, Science, 303, 338-343.
29. Mora, P., 1987. Nonlinear two-dimensional elastic inversion of multioffset seismic data, Geophysics, 52, 1211-1228.
30. Mora, P., 1988. Elastic wave-field inversion of reflection and transmission data, Geophysics, 53, 750-759.
31. Nolet, G., 1987. Waveform tomography, in Seismic Tomography, with Applications in Global Seismology and Exploration Geophysics, pp. 301-322, ed. Nolet, G., Reidel, Dordrecht.
32. Pratt, R.G., 1999. Seismic waveform inversion in the frequency domain, Part 1: Theory and verification in a physical scale model, Geophysics 64, 888-901.
33. Press, W., Teukolsky, S., Vetterling, W. & Flannery, B., 1994. Numerical Recipes: the Art of Scientific Computing, Cambridge University Press, Cambridge.
34. Ritsema, J., Rivera, L.A., Komatitsch, D., Tromp, J. & van Heijst, H.J., 2002. The effects of crust and mantle heterogeneity on PP/P and SS /S amplitude ratios, Geophys. Res. Lett., 29, doi:10.1029/2001GL013831.
35. Talagrand, O. & Courtier, P., 1987. Variational assimilation of meteorological observations with the adjoint vorticity equation. I: Theory, Q. J. R. Meteorol. Soc., 113, 1311-1328.
36. Tarantola, A., 1984. Inversion of seismic reflection data in the acoustic approximation, Geophysics, 49, 1259-1266.
37. Tarantola, A., 1987. Inversion of travel times and seismic waveforms, in Seismic Tomography, pp. 135-157, ed. Nolet, G., Reidel, Dordrecht.
38. Tarantola, A., 1988. Theoretical background for the inversion of seismic waveforms, including elasticity and attenuation, Pure appl. Geophys. 128, 365-399.
39. Tsuboi, S., Komatitsch, D., Chen, J. & Tromp, J., 2003. Spectral-element simulations of the November 3, 2002. Denali, Alaska earthquake on the Earth Simulator, Phys. Earth planet. Inter., 139, 305-312.
40. Wu, R. & Aki, K., 1985. Scattering characteristics of elastic waves by an elastic heterogeneity, Geophysics, 50, 582-595.
41. Zhao, L., Jordan, T.H. & Chapman, C.H., 2000. Three-dimensional Fréchet differential kernels for seismic delay times, Geophys. J. Int., 141, 558-576.