한국지구과학회지 (Journal of the Korean earth science society)

  • 제38권6호
  • /
  • Pages.427-441
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  • 2017
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  • 1225-6692(pISSN)
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  • 2287-4518(eISSN)
한국지구과학회 (The Korean Earth Science Society)
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Technical Essentials of the Earth's Free Oscillation Mode Computation

  • 투고 : 2017.09.23
  • 심사 : 2017.10.25
  • 발행 : 2017.10.31
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초록

Theory of Earth's free oscillation is revisited. Firstly, we summarized the underlying formulations, such as the equation of motion and its conversion into numerically integrable form and then explained computational procedures including the treatment of inner core-outer core boundary and core-mantle boundary, while the latter information has not been explicitly given in most publications. Secondly, we re-calculated the periods of Earth's free oscillation modes (period >200 s) for PREM model. In doing so we acquired the values of modes missing in Dziewonski and Anderson (1981). As a case observation, one seismogram after 2011 Tohoku earthquake recorded at Daejeon, Korea (KIGAM seismic station) was briefly analyzed to identify free oscillation mode excitations on its spectra. The material in this article will be most clear guide for those on calculating the Earth's free oscillation mode.

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참고문헌

  1. Aki, K. and Richards, P., 1980, Quantitative Seismology vol. 1, Freeman, 557 p.
  2. Alterman, Z., Jarosch, H., and Pekeris, C.L., 1959, Oscillation of the Earth, Proceedings of the Royal Society A, 252, 80-95. https://doi.org/10.1098/rspa.1959.0138
  3. Backus, G.E., 1967, Converting Vector and Tensor Equations to Scalar Equations in Spherical Coordinates, Geophysical Journal of the Royal Astronomical Society, 13, 71-101. https://doi.org/10.1111/j.1365-246X.1967.tb02147.x
  4. Backus, G.E. and Gilbert, J.F., 1967, Numerical applications of a formalism for geophysical inverse problem, Geophysical Journal of the Royal Astronomical Society, 13, 247-276. https://doi.org/10.1111/j.1365-246X.1967.tb02159.x
  5. Backus, G.E. and Gilbert, J.F., 1968, The resolving power of gross Earth data, Geophysical Journal of the Royal Astronomical Society, 16, 169-205. https://doi.org/10.1111/j.1365-246X.1968.tb00216.x
  6. Benioff, H., 1958, Long waves observed in the Kamchatka earthquake of November 2, 1952, Journal of Geophysical Research, 63, 589-593. https://doi.org/10.1029/JZ063i003p00589
  7. Dziewonski, A.M. and Anderson, D.L., 1981, Preliminary reference Earth Model, Physics of the Earth and Planetary Interior, 25, 297-356. https://doi.org/10.1016/0031-9201(81)90046-7
  8. Gilbert, F. and Dziewonski, A.M., 1975, An application of normal mode theory to the retrieval of structural parameters and source mechanisms from seismic spectra, Philosophical Transaction of the Royal Society, A278, 187-269.
  9. Kennett, B.L.N. and Engdahl, E.N., 1991, Travel time for global earthquake location and phase identification, Geophysical Journal International, 105, 429-465. https://doi.org/10.1111/j.1365-246X.1991.tb06724.x
  10. Longman, I.M., 1962, A Green's Function for Determining the Deformation of the Earth under Surface Mass Loads, Journal of Geophysical Research, 67, 845-850. https://doi.org/10.1029/JZ067i002p00845
  11. Love, A.E.H., 1911, Some Problems of Geodynamics, Dover, 178 p.
  12. Merriam, J.B., 1976, The dissipation of tidal energy in the solid earth, PhD dissertation, York university.
  13. Park, J., Song, T.A., Tromp, J., Okal, E., Stein, S., Roult, G., Clevede, E., Laske, G., Kanamori, H., Davis, P., Berger, J., Braitenberg, C., Van Camp, M., Lei, X., Sun, H., Xu, H., and Rosat, S., 2005, Earth's Free Oscillations Excited by the 26 December 2004 Sumatra-Andaman Earthquake, Science, 308, 1139-1144. https://doi.org/10.1126/science.1112305
  14. Schnidrig, R.W. and Laske, G., 2009, Theory and Observations - Normal Modes and Surface Wave Measurements, Ch. 2 of Treatise of Geophysics vol. 1 Seismology and Structure of the Earth, Elsevier, Amsterdam, 858 p.
  15. Schwab, F.A. and Knopoff, L, 1972, Fast Surface Wave and Free Mode Computations, in Bolt B. (ed), Methods in Computational Physics, vol. 11, Seismology: Surface Waves and Earth Oscillations, 87-180.
  16. Smylie, D. and Mansinha, L., 1971, The Elasticity Theory of Dislocations in Real Earth Models and Changes in the Rotation of the Earth, Geophysical Journal of the Royal Astronomical Society, 23, 329-354. https://doi.org/10.1111/j.1365-246X.1971.tb01824.x
  17. Takeuchi, H., 1950, On the Earth Tide of the Compressible Earth of Variable Density and Elasticity, Transactions American Geophysical Union, 31, 651-689. https://doi.org/10.1029/TR031i005p00651
  18. Takeuchi, H. and Saito, M, 1972, Seismic Surface Waves, in Bolt B. (ed), Methods in Computational Physics, vol. 11, Seismology: Surface Waves and Earth Oscillations, 217-295.
  19. Woodhouse, J.H. and Deuss, A., 2009, Theory and Observations - Earth's Free Oscillations, Ch. 1 of Treatise of Geophysics vol. 1 Seismology and Structure of the Earth, Elsevier, Amsterdam, 858 p.