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Iterative geophysical tomography

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Прuве¶rt;еи aлгорuфм umерamuвноŭгеофuзuческоŭ mомогрaфuu. Сре¶rt;a annроксuмuровaнa сnлощно nрu nомощu Б-сnлaŭнов. Пвухmочнaя nроблеммa рaсчемa лучеŭ рещенa nрu nомощu naрaксuaлноŭ annроксuмaцuu. Пaрaмеmры сре¶rt;ы nолучены иa основе umерamuвного aлгорuфмa мuнuмaлuзaцuu квa¶rt;рamuческоŭ формы. В рaбоmе nрuве¶rt;ены ¶rt;вa 2-D чuсленных nрuмерa.

Summary

The algorithm of iterative geophysical tomography is presented. The medium is approximated smoothly by means of B-splines. The tww-point problem of ray computation is solved with the aid of paraxial approximation. The parameters of the medium are obtained from the iterative algorithm of minimizing the quadratic form. Two numerical 2-D examples are given.

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References

  1. Б. М. Наймарк, А. В. Малевский: Экономичные методы бикубической сплайн-интер-поляции. Вычислительная сейсмология, 17 (1984), 141.

    Google Scholar 

  2. V. Červený, I. A. Molotkov, I. Pšenčík: Ray Method in Seismology. Univ. Karlova, Praha 1977.

    Google Scholar 

  3. V. Červený, F. Hron: The Ray Series Method and Dynamic Ray Tracing System for Three-Dimensional Inhomogeneous Media. BSSA, 70 (1980), 47.

    Google Scholar 

  4. V. Červený, I. Pšenčík: Gaussian Beams and Paraxial Ray Approximation in Three-Dimensional Elastic Inhomogenous Media. J. Geoph., 53 (1983), 1.

    Google Scholar 

  5. V Červený, L. Klimeš, I. Pšenčík: Paraxial Ray Approximations in the Computation of Seismic Wavefields in Inhomogeneous Media. Geoph. J. R. Astr. Soc., 79 (1984), 89.

    Article  Google Scholar 

  6. G. T. Herman: Image Reconstruction from Projections. Acad. Press, New York 1980.

    Google Scholar 

  7. A. Ralston: A First Course in Numerical Analysis. McGraw-Hill, New York 1965.

    Google Scholar 

  8. В. Г. Романов: Некоторые обратные задачи для уровнений гиперболического типа. Наука, Сибирское отделение, Новосибирск 1972.

    Google Scholar 

  9. P. Firbas: Obrácená seismická kinematická úloha pro nehomogenní prostředí — linearizační přístup. Kandidátská disertační práce, Brno 1984 (not published).

    Google Scholar 

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Authors and Affiliations

  1. Geophysical Institute, Czechosl. Acad. Sci., Prague

    Jiří Jech

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  1. Jiří Jech
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Jech, J. Iterative geophysical tomography. Stud Geophys Geod 30, 242–256 (1986). https://doi.org/10.1007/BF01645465

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  • DOI: https://doi.org/10.1007/BF01645465

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