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1989: ON THE INVERSION PROBLEM FOR A DISCONTINUOUS TRAVEL-TIME CURVE. Acta Seismologica Sinica, 11(2): 204-210.
Citation: 1989: ON THE INVERSION PROBLEM FOR A DISCONTINUOUS TRAVEL-TIME CURVE. Acta Seismologica Sinica, 11(2): 204-210.
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ON THE INVERSION PROBLEM FOR A DISCONTINUOUS TRAVEL-TIME CURVE

  • Institute of Geophysics, State Scismological Bureau

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  • Published Date: September 01, 2011
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  • A complete solution of the inversion problem has been aihieved for a discontinuous travel-time curve. The solutions show that, except in the LVL (if exists), the velocity structure and the thickness of the LVL can be uniquely determined. Finally, we point out that the Gerver-Markushevichs formula (1966) is incorrect.
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    • References (1)
  • [1] Herglotz, G,1907. Phys. Zeits, 8, 145——147.

    [2] Baseman, H.1910. Phys. Mag., 19, 576.

    [3] Wiechert and Geiger, 1910. Phys. Zcits., 11, 294.

    [4] Aki,K.,and P. G. Richards, 1980. Ozrantitative Scisnzology——theory and methods, 641——659. San Fran——ciso: Freeman

    [5] Bocher, M., 1909. An introduction to the study of integral equations, 9. Cambridge University press.

    [6] Slichter, L, B., 1932. The theory of the interpretation of seismic traveltime curve in horizontal structures.Physics, 3, 273——295.

    [7] Gerver, M. L., and V. Markushevich, 1966. Determination if a Seismic Wave Velocity from the travel——time curve. Geophys. J., 165——173.

    [8] Lanczos, C,1961. Linear Differential Operators. 140. London: Van Nostrand.

    [1] Herglotz, G,1907. Phys. Zeits, 8, 145——147.

    [2] Baseman, H.1910. Phys. Mag., 19, 576.

    [3] Wiechert and Geiger, 1910. Phys. Zcits., 11, 294.

    [4] Aki,K.,and P. G. Richards, 1980. Ozrantitative Scisnzology——theory and methods, 641——659. San Fran——ciso: Freeman

    [5] Bocher, M., 1909. An introduction to the study of integral equations, 9. Cambridge University press.

    [6] Slichter, L, B., 1932. The theory of the interpretation of seismic traveltime curve in horizontal structures.Physics, 3, 273——295.

    [7] Gerver, M. L., and V. Markushevich, 1966. Determination if a Seismic Wave Velocity from the travel——time curve. Geophys. J., 165——173.

    [8] Lanczos, C,1961. Linear Differential Operators. 140. London: Van Nostrand.
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