Sensitivity of frequency-dependent traveltimes to laterally heterogeneous, anisotropic Earth structure

Geophysical Journal International

Volumn 133, Issue 3, 1998, Pages 683-704

  Zhao, Li ^a   Jordan, Thomas H ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; MANTLE STRUCTURE; SEISMIC METHOD; WAVE PROPAGATION;

EID: 0042978380     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1998.00524.x     Document Type: Article

References (45)

1. Ben-Menahcm, A., 1964. Mode-ray duality. Bull. seism. Soc. Am., 54, 1315-1321
2. Dziewonski, A.M. & Andersen, D.L., 1981. Preliminary reference Earth model, Phys. Earth planet. Inter. 25, 297-356
3. Edmonds, A.R., 1960. Angular Momentum in Quantum Mechanics. Princeton University Press, Princeton, NJ.
4. Gaherty, J.B., Jordan, T.H. & Gee, L.S., 1996. Seismic structure of the upper mantle in a central Pacific corridor, J. geophys. Res., 101, 22291-22309.
5. Gee, L.S. & Jordan, T.H., 1992. Generalized seismological data function, Geophys. J. Int., 111, 363-390
6. Giardini, D., Li, X.-D. & Woodhouse, J.H., 1987. Three-dimensional structure of the Earth from splitting in free oscillations spectra. Nature. 325, 405-411.
7. Gilbert, F., 1970. Excitation of the normal modes of the earth by earthquake sources, Geophys. J. R. astr. Soc., 22, 223-226
8. Gilbert, F., 1975. Some asymptotic properties of the normal modes of the Earth, Geophys. J. R. astr. Soc., 43, 1007-1011.
9. Gilbert, F. & Dziewonski, A.M., 1975. An application of normal mode theory to the retrieval of structure parameters and source mechanisms from seismic spectra. Phil. Trans. R. Soc. Lond., A, 278, 187-269.
10. Gomberg, J.S., Priestley, K.F., Masters, T.G. & Brune, J.N., 1988. The structure of the crust and upper mantle of northern Mexico, Geophys. J. R. astr. Soc., 94, 1-20.
11. Grand, S.P., 1994. Mantle shear structure beneath the Americas and surrounding oceans, J. geophys. Res., 99, 11 591-11 621.
12. Henson, I.H., 1989. Multiplet coupling of the normal modes of an elliptical, transversely isotropic earth, Geophys. J., 98, 457-459.
13. Inoue, H., Fukao, Y., Tanabe, K. & Ogata, Y., 1990. Whole mantle P-wave travel time tomography, Phys. Earth planet. Inter., 59, 294-328.
14. Jeans, J.H., 1923. The propagation of earthquake waves, Proc. R. Soc. Land., A, 102, 554-574.
15. Katzman, R., Zhao, L. & Jordan, T.H., 1998. High-resolution, 2D vertical tomography of the central-Pacific mantle using ScS reverberations and frequency-dependent travel times, J. geophys. Res., in press.
16. Kennett, B.L.N., 1984. Guided wave propagation in laterally varying media - I. Theoretical development, Geophys. J. R. astr. Soc., 79, 235-255.
17. Lerner-Lam, A. L. & Jordan, T.H., 1987. How thick are the continents? J. geophys. Res., 92, 14007-14026
18. Li, X.-D. & Romanowicz, B., 1995. Comparison of global waveform inversions with and without considering cross-branch modal coupling, Geophys. J. Int., 121, 695-709.
19. Li, X.-D. & Romanowicz, B., 1996. Global mantle shear-velocity model developed using nonlinear asymptotic coupling theory, J. geophys. Res., 101, 22245-22272.
20. Li, X.-D. & Tanimoto, T., 1993. Waveforms of long-period body waves in a slightly aspherical Earth model. Geophys. J. Int., 112, 92-102.
21. Marquering, H. & Snieder, R., 1995. Surface-wave mode coupling for efficient forward modeling and inversion of body-wave phases. Geophys. J. Int., 120, 186-208.
22. Marquermg, H., Smeder, R. & Nolet, G., 1996. Waveform inversions and the significance of surface-wave mode coupling, Geophys. J. Int., 124, 258-278.
23. Meier, T., Lebedev, S., Nolet, G. & Dahlen, F.A., 1997. Diffraction tomography using multimode surface waves, J. geophys. Res., 102, 8255-8267.
24. Mochizuki, E., 1986. The free oscillations of an amsotropic and heterogeneous Earth, Geophys. J. R. astr. Soc., 86, 167-176.
25. Nolet, G., 1990. Partitioned waveform inversion and two-dimensional structure under the Network of Autonomously Recording Seismographs, J. geophys. Res., 95, 8499-8512.
26. Park, J., 1987. Asymptotic coupled-mode expressions for multiplet amplitude anomalies and frequency shifts on an aspherical Earth. Geophys. J. R. astr. Soc., 90, 129-169.
27. Park, J., 1997. Free oscillations in an anisotropic earth: path-integral asymptotics, Geophys. J. Int., 129, 399-411.
28. Phinney, R.A. & Burridge, R., 1973. Representation of the elastic-gravitational excitation of a spherical Earth model by generalized spherical harmonics. Geophys. J. R. astr. Soc., 34, 451-487.
29. Romanowicz, B., 1987. Multiplet-Multiplet coupling due to lateral heterogeneity: Asymptotic effects on the amplitude and frequency of the Earth's normal modes, Geophys. J. R. astr. Soc., 90, 75-100.
30. Su, L., Park, J. & Yu, Y., 1993. Born seismograms using coupled free oscillations: The effect of strong coupling and anisotropy, Geophys. J. Int., 115, 849-862.
31. Tanimoto, T., 1986. Free oscillations in a slightly anisotropic Earth, Geophys. J. R. astr. Soc., 87, 493-517.
32. Tanimoto, T., 1995. Formalism for traveltime inversion with finite frequency effects, Geophys. J. Int., 121, 103-110
33. van der Hilst, R.D., Widiyantoro, S. & Engdahl, F.R., 1997. Evidence for deep mantle circulation from global tomography. Nature. 386, 578-584.
34. Widmer, R. & Masters, G., 1992. Observably split multiplets: data analysis and interpretation in terms of large-scale aspherical structure, Geophys. J. Int., 111, 559-576.
35. Woodhouse, J.H., 1980. The coupling and attenuation of nearly resonant multiplets in the Earth's free oscillation spectrum, Geophys. J. R. astr. Soc., 61, 261-283.
36. Woodhouse, J.H., 1983. The joint inversion of seismic waveforms for lateral variations in Earth structure and earthquake source parameters, in Earthquakes: Observation. Theory and Interpretation. ed. Kanamori, H. & Boschi, E., Proc. Int. School Phys. Enrico Fermi. 85, 366-397, Elsevier North-Holland, New York, NY.
37. Woodhouse, J.H. & Dahlen, F.A., 1978. The effect of a general aspherical perturbation on the free oscillation of the Earth. Geophys. J. R. astr. Soc., 53, 335-354.
38. Woodhouse, J.H. & Dziewonski, A.M., 1984. Mapping the upper mantle: Three dimensional modeling of Earth structure by inversion of seismic waveforms, J. geophys. Res., 89, 5953-5986.
39. Woodhouse, J.H. & Girnius, T.P., 1982. Surface waves and free oscillations in a regionalized Earth model, Geophys. J. R. astr. Soc., 68, 653-673.
40. Woodward, M.J., 1992. Wave-equation tomography, Geophysics, 57, 15-26.
41. Woodward, R.L. & Masters, G., 1991. Global upper mantle structure from long-period differential travel times, J. geophys. Res., 96, 6351-6377.
42. Yomogida, K., 1992. Fresnel zone inversion for lateral heterogeneities in the Earth. Pageoph, 138, 391-406.
43. Zhang, Y.S. & Tanimoto, T., 1989. Three-dimensional modeling of upper mantle structure under the Pacific Ocean and surrounding area, Geophys. J. R. astr. Soc., 98, 255-269.
44. Zhao, L. & Dahlen, F.A., 1993. Asymptotic eigcnfrequencies of the Earth's normal modes, Geophys. J. Int., 115, 729-758.
45. Zielhuis, A. & Nolet, G., 1994. Shear-wave velocity variations in the upper mantle beneath central Europe, Geophys. J. Int., 117, 695-715.