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An Inverse Scattering Method for Reconstructing Distribution of the Velocity Perturbation in Inhomogeneous Background Medium

  • Feng Yin
  • J. S. Wang
  • B. L. Gu
  • Q. S. Li
  • Yu Wei
Part of the Acoustical Imaging book series (ACIM, volume 20)

Abstract

In wave equation tomography, there are two typical methods, one is analytical inverse methods, e.g., Geophysical diffraction tomography (GDT)[1], etc., Radon transform method[2] , etc.; the other is iterative inverse scattering method in frequency domain (FD-IISM) , e.g., Born IISM[3], etc In GDT, when the velocity variation is large, these methods fail, and the resolution of GDT is not high. In FD-IISM, because the inverse problem is ill-posed, the regularization method with smoothing condition is used to derive smoothing solution of inverse scattering problem, thus, the resolution of solution is reduced. In addition, its ability of antinoise is poor and it is very difficult to choose the damping factor.

Keywords

Maximum Entropy Scattered Field Velocity Perturbation Background Medium Inverse Scattering Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Wu, R.S., and Toksoz, M.Nafi., Diffraction tomography tomography andmultisource holography applied to seismic imaging, Geophysics, 51, 11–25, 1987.CrossRefGoogle Scholar
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    Miller, D., Oristaglio, M., and Beylkin, G. A new slant onseismic imaging: Migration and integral geometry, Geophysics, 52, 943–964,1987.Google Scholar
  3. [3]
    Chew, W.C. and Wang, Y.M., Recons-truction ofTwo-dimensional permitivity distribution using the distorted Born iterativemethod, IEEE trans. Med. imaging, 9, 218–225, 1990.CrossRefGoogle Scholar
  4. F. Yin, J.S. Wang, Wave equation Tomography using Maximumentropy, Society of Geophysicists sixty-second International Annual meeting,New Oleans, U.S.A.Google Scholar
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    Skilling, J., The Cambridge maximum entropy algorithm,Maximum entropy and Bayesian method in applied statistics, edited by Justice,J.H., Cambridge University press, 1986.Google Scholar

Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Feng Yin
    • 1
  • J. S. Wang
    • 1
  • B. L. Gu
    • 1
  • Q. S. Li
    • 1
  • Yu Wei
    • 1
  1. 1.Department of PhysicsSoutheast UniversityNanjingChina

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