A new method to calculate normal modes

Geophysical Journal International

Volumn 168, Issue 1, 2007, Pages 315-331

  Kobayashi, Naoki ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Atmosphere; Eigen frequency; Eigen function; Normal modes; Solid earth

Indexed keywords

ANELASTICITY; BOUNDARY CONDITION; EIGENVALUE; NUMERICAL METHOD; NUMERICAL MODEL; SOLID EARTH;

EID: 33846025796     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2006.03220.x     Document Type: Article

References (35)

1. Artru, J., Lognonné, P. & Blanc, E., 2001. Normal modes modeling of post-seismic ionospheric oscillations, Geophys. Res. Lett., 28(4), 697-700.
2. Artru, J., Farges, T. & Lognonné, P., 2004. Acoustic waves generated from seismic surface waves: Propagation properties determined from Doppler sounding observations and normal-mode modeling, Geophys. J. Int., 158, 1067-1077.
3. Artru, J., Ducic, V., Kanamori, H. & Lognonné, P., 2005. Ionospheric detection of gravity waves induced by tsunamis, Geophys. J. Int., 160, 840-848.
4. Dahlen, F.A. & Tromp, J., 1998. Theoretical Global Seismology, Princeton University Press, New Jersey, p. 1025.
5. Dziewonski, A.M. & Anderson, D.L., 1981. Preliminary reference Earth model, Phys. Earth planet. Int., 25, 297-356.
6. Fukao, Y., Nishida, K., Suda, N., Nawa, K. & Kobayashi, N., 2002. A theory of the Earth's background free oscillations, J. geophys. Res., 107, 1468, doi:.
7. Gilbert, F. & Backus, G., 1966. Propagator matrices in elastic wave and vibration problems, Geophysics, XXXI(2), 326-332.
8. Gough, D., 1990. Comments on Helioseismic inference, in Progress of Seismology of the Sun and Stars, 387, eds Osaki, Y. & Shibahashi, H., Springer-Verlag, Berlin.
9. Henyey, L.G., Forbes, J.E. & Gould, N.L., 1964. A New Method of Automatic Computation of Stellar Evolution, Astrophys. J., 139, 306-317.
10. Kanamori, H. & Mori, J., 1992. Harmonic excitation of mantle Rayleigh waves by the 1991 eruption of Mont Pinatubo, Philippines, Geophys. Res. Lett., 19(7), 721-724.
11. Kanamori, H., Mori, J. & Harkrider, D.G., 1994. Excitation of atmospheric oscillations by volcanic eruptions, J. geophys. Res., 99(B11), 21,947-21,961.
12. Kobayashi, N. & Nishida, K., 1998. Continuous excitation of planetary free oscillations by atmospheric disturbances, Nature, 395, 357-360.
13. 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.
14. Lognonné, P., 1989. Modélisation des modes propres de vibration dans une Terre anélastique et hétérogène: Théorie et applications, Thèse de Doctorat, Universitéde Paris VII.
15. Lognonné, P., 1991. Normal modes and Seismograms of an anelastic rotative Earth, J. geophys. Res., 96, 20309-20319.
16. Lognonné, P., Clévédé, E. & Kanamori, H., 1998. Computation of seismograms and atmospheric oscillations by normal-mode summation for a spherical earth model with realistic atmosphere, Geophys. J. Int., 135, 388-406.
17. Nawa, K., Suda, N., Fukao, Y., Sato, T., Aoyama, Y. & Shibuya, K., 1988. Incessant excitation of the Earth's free oscillations, Earth, Planets and Space, 50, 3-8.
18. Nishida, K. & Kobayashi, N., 1999. Statistical features of Earth's continuous free oscillations, J. geophys. Res., 104, 28741-28722.
19. Nishida, K., Kobayashi, N. & Fukao, Y., 2000. Resonant oscillations between the solid earth and the atmosphere, Science, 287, 2244-2246.
20. Okamoto, T. & Tanimoto, T., 2003. Membrane surface wave synthetics: modeling short period surface wave in heterogeneous media. XXIII General Assembly of the International Union of Geodesy and Geophysics, SS01/03A/ D-096, July 3.
21. Picone, J.M., Hedin, A.E., Drob, D.P. & Aikin, A.C., 2002. NRLMSISE-00 empirical model of the atmosphere: Statistical comparisons and scientific issues, J. geophys. Res., 107 (A12), 1468, doi:.
22. Press, W.H., Teukolsky, S.A., Vetterling, W.T. & Flannery, B.P., 1992. Numerical Recipes in C The Art of Scientific Computing, 2nd edn, Cambridge university Press, Cambridge.
23. Rhie, J. & Romanowicz, B., 2004. Excitation of Earth's continuous free oscillations by atmosphere-ocean-seafloor coupling, Nature, 431, 552-556.
24. Saito, M., 1988. DISPER80: A subroutine package for the calculation of seismic normal-mode solutions, in Seismological Algorithms-computational methods and computer programs, p. 469, ed. Doornbos, D.J., Academic Press, New York.
25. Shibahashi, H. & Osaki, Y., 1981. Nonradial oscillations for stars on the left-hand side of the Cepheid instability strip, Publ. Astron. Soc. Japan, 33, 427-448.
26. Suda, N., Nawa, K. & Fukao, Y., 1998. Earth's background free oscillations, Science, 279, 2089-2091.
27. Takeuchi, H. & Saito, M., 1972. Seismic surface waves, in Methods in Computational Physics, Vol. 11, pp. 217-295, ed. Bolt, B.A., Academic Press, New York.
28. Tanimoto, T., 1999. Excitation of normal modes by atmospheric turbulence: Source of long period noise, Geophys. J. Int., 136, 395-402.
29. Tanimoto, T., 2005. The oceanic excitation hypothesis for the continuous oscillations of the Earth, Geophys. J. Int., 160, 276-288.
30. Tsai, V.C., Kanamori, H. & Artru, J., 2004. The morning glory wave of southern California, J. geophys. Res., 109, B02307, doi:.
31. Unno, W., Osaki, Y., Ando, H., Saio, H. & Shibahashi, H., 1989. Nonradial oscillations of stars, 2nd edn, University of Tokyo Press, p. 420.
32. Watada, S., 1995. Part I: Near-source acoustic coupling between the atmosphere and the solid Earth during volcanic eruptions, PhD Thesis, California Institute of Technology, Pasadena.
33. Widmer, R. & Zürn, W., 1992. Bichromatic excitation of long-period Rayleigh and air waves by the Mount Pinatubo and El Chichon volcanic eruptions, Geophys. Res. Lett., 19(8), 765-768.
34. Woodhouse, J.H., 1988. The calculation of eigenfrequencies and eigenfunctions of the free oscillations of the earth and the sun, in Seismological Algorithms - computational methods and computer programs, p. 469, ed. Doornbos, D.J., Academic Press.
35. Woodhouse, J.H. & Dahlen, F.A., 1978. The effect of a general aspherical perturbation on the free oscillations of the Earth, Geophys. J. R. astr. Soc., 53, 335-354.