Effects of lateral inhomogeneity in a spherical Earth on gravity Earth tides

Journal of Geophysical Research: Solid Earth

Volumn 112, Issue 6, 2007, Pages

  Fu, Guangyu ^a   Sun, Wenke ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EARTH TIDE; GRAVIMETRY; INHOMOGENEITY; SEISMIC WAVE; SPHERICAL HARMONICS;

EID: 34548421486     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2006JB004512     Document Type: Article

References (33)

1. Alterman, Z., H. Jarosch, and C. L. Pekeris (1959), Oscillation of the Earth, Proc. R. Soc. London, Ser A., 252, 80-95.
2. Dahlen, F. A. (1968), The normal modes of a rotating, elliptical Earth, Geophys. J. R. Astron. Soc., 16, 329-367.
3. Dahlen, F. A. (1974), Inference of the lateral heterogenicity of the earth from the eigenfrequency spectrum: A linear inverse problem, Geophys. J. R. Astron. Soc., 38, 143-167.
4. Dahlen, F. A. (1976), Models of the lateral heterogeneity of the Earth consistent with eigenfrequency splitting data, Geophys. J. R. Astron. Soc., 44, 77-105.
5. Dahlen, R A., and J. Tromp (1998), Theoretical global seismology, Princeton Univ. Press, Princeton, N. J.
6. Dehant, V. (1987a), Tidal parameters for an inelastic Earth, Phys. Earth Planet. Inter., 49, 97-116.
7. Dehant, V. (1987b), Integration of the gravitational motion equations for an elliptical uniformly rotating Earth with an inelastic mantle, Phys. Earth Planet. Inter., 49, 242-258.
8. Dehant V. (1995), Report of the working group on theoretical tidal model, Proceedings of the 12th Int. Symp. Earth Tides, 17-8, Sino Press, Beijing.
9. Dehant V., P. Defraigne, and J. M. Wahr (1999), Tides for a convective Earth, J. Geophys. Res., 104, 1035-1058.
10. Dziewonski, A. M., and D. L. Anderson (1981), Preliminary reference Earth model, Phys. Earth Planet. Inter., 25, 297-356.
11. Farrell, W. E. (1972), Deformation of the earth by surface loads, Rev. Geophys. Space Phys., 10, 761-797.
12. Geller, R. J. (1988), Elastodynamics in a laterally heterogeneous, self-gravitating body, Geophys. J. Astron. Soc., 94, 271-283.
13. Geller, R. J. (1991), Comment on 'The gravito-elastodynamics of a pre-stressed elastic earth' by L. L. A. Vermeersen and N. J. Vlaar, Geophys. J. Int., 106, 499-503.
14. Gilbert, F., and A. M. Dziewonski (1975), An application of normal mode theory to the retrieval of structural parameters and source mechanism from seismic spectra, Philos. Trans. R. Soc. London, Ser A, 278, 187-269.
15. Karato, S.-I. (1993), Importance of inelasticity in the interpretation of seismic tomography, Geophys. Res. Lett., 20, 1623-1626.
16. Lee, W. H. K., and W. M. Kaula (1972), A spherical harmonic analysis of the Earth's tomography, J. Geophys. Res., 72, 753-758.
17. Longman, I. M. (1962), A Green's function for determining the deformation of the Earth under surface mass loads: 1. Theory, J. Geophys. Res., 67, 845-850.
18. Longman, I. M. (1963), A Green's function for determining the deformation, of the earth under surface mass loads: 2. Computations and numerical results, J. Geophys. Res., 68, 485-495.
19. Love, A. E. H. (1909), The yielding of the Earth to disturbing forces, Proc. R. Soc., 82A, 73-88.
20. Metivier, L., M. Greff-Lefftz, and M. Diament (2005), A new approach to computing accurate gravity time variations for a realistic earth model with lateral heterogeneities, Geophys. J. Int., 162(2), 570-574.
21. Metivier, L., M. Greff-Lefftz, and M. Diament (2006), Mantle lateral variations and elastogravitational deformation - I. Numerical modelling, Geophys. J. Int., 167, 1060-1076.
22. Molodenskiy, S. M. (1977), The influence of horizontal inhomogeneities in the Mantle on the amplitude of tidal oscillations, Phys. Solid Earth, 13(2), 77-80.
23. Molodenskiy, S. M. (1980), The effect of lateral heterogeneities upon the tides, B.I.M. Fevrier, 80, 4833-4850.
24. Molodenskiy, S. M., and M. V. Kramer (1980), The influence of large-scale horizontal inhomogeneities in the mantle on Earth tides, Izv. Earth Phys., 16(1), 1-11.
25. Okubo, S., and T. Endo (1986), Static spheroidal deformation of degree 1-consistency relation, stress solution and partials, Geophys. J. R. Astron. Soc., 86, 91-102.
26. Saito, M. (1967), Excitation of free oscillations and surface waves by a point source in a vertically heterogeneous Earth, J. Geophys. Res., 72, 3689-3699.
27. Sun, W. (1992), Potential and gravity changes caused by dislocations in spherically symmetric earth models, Bull. Earthquake Res. Inst. Univ. Tokyo, 67, 89-238.
28. Sun, W., and S. Okubo (1993), Surface potential and gravity changes due to internal dislocations in a spherical earth I. Theory for a point dislocation, Geophys. J. Int., 114, 569-592.
29. Takeuchi, H., and M. Saito (1972), Seismic surface waves, Elsevier, New York.
30. Vermeersen, L. L. A., and N. J. Vlaar (1991), The gravito-elastodynamics of a pre-stressed elastic earth, Geophys. J. Int., 104, 555-563.
31. Wahr, J. M. (1981), Body tides on an elliptical, rotating, elastic and ocean-less Earth, Geophys. J. R. Astron. Soc., 64, 677-703.
32. Wang, R. (1991), Tidal deformations on a rotating, spherically asymmetric, viscoelastic and laterally heterogeneous earth, European University Studies, Series XVII, Earth Sciences, Vol. 5, Peter Lang, Frankfurt am Main, ISBN 3-631-43991-1, 139 pp.
33. Zhao, D. (2001), Seismic structure and origin of hotspots and mantle plumes, Earth Planet. Sci. Lett., 192, 251-265.