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Inverse methods for reflector imaging

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1151)

Keywords

  • Inverse Method
  • Piecewise Constant Function
  • Singular Function
  • Seismic Exploration
  • Fourier Inversion

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4. References

  • Bleistein, N., 1984, Mathematical Methods for Wave Phenomena: Academic Press, New York, to appear.

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  • __________, Cohen, J. K., and Hagin, F. G., 1984, Computational and asymptotic aspects of velocity inversion: Geophysics, submitted.

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  • __________, and Gray, S. H., 1984, An extension of the Born inversion method to a depth dependent reference profile: 46th Meeting of the European Association of Exploration Geophysicists, London.

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  • Claerbout, J. F., 1971, Toward a unified theory of reflector mapping: Geophysics, 36, 3, p. 467–481.

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  • Coen, S., 1983, Migration, an inverse source problem: 53rd Annual International Meeting of the Society of Exploration Geophysicists, Las Vegas.

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  • Cohen, J. K., and Bleistein, N., 1979a, Velocity inversion procedure for acoustic waves: Geophysics, 44, 6, p. 1077–1085.

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  • __________, 1979b, The singular function of a surface and physical optics inverse scattering: Wave Motion, 1, 1, p. 153–161.

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  • Gray, S. H., 1984, A comparison of F-K migration and Born inversion algorithms: preprint.

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  • Hagin, F. G., and Cohen, J. K., 1984, Refinements to the linear velocity inversion theory: Geophysics, 49, 2, p. 112–118.

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  • Mager, R. D., 1983, An asymptotic analysis of seismic imaging by wavefield extrapolation: preprint.

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  • Worley, S. C., and Cohen, J. K., 1984, Spatial-temporal aliasing for the wave equation: preprint.

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© 1985 Springer-Verlag

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Bleistein, N. (1985). Inverse methods for reflector imaging. In: Sleeman, B.D., Jarvis, R.J. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 1151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074716

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  • DOI: https://doi.org/10.1007/BFb0074716

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15694-9

  • Online ISBN: 978-3-540-39640-6

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