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Computation of synthetic seismograms in 2-D and 3-D media using the Gaussian beam method

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Резюме

Меmо¶rt; Гaуссевых nучков uсnользуеmся ¶rt;ля верmuкaльно

о сеŭсмuческо

о nрофuлuровaнuя в ¶rt;вух u mрехмерных мо¶rt;елях сре¶rt;ы. Уnоmребляеmся несложныŭ nо¶rt;хо¶rt; к рaсчеmу сеŭсмо

рaмм в окресmносmu сmрукmурно

о рaз¶rt;елa. Нa nрuмерaх сuнmеmuческuх сеŭсмо

рaмм uзучaюmся эффекmы (a) uзлученuя mочечно

о uсmочнuкa, (б) неnрuчнно

о nо

лощенuя u (в) nоnеречных нео¶rt;норо¶rt;носmеŭ.

Summary

The Gaussian beam method is applied to vertical seismic profiling in 2-D and 3-D models. A simple approach to the computation of Gaussian beam seismograms in the vicinity of structural interfaces is proposed. The effects of (a) the radiation pattern of a point source, (b) noncausal attenuation, (c) transverse inhomogeneities in synthetic seismograms are studied on numerical examples.

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References

  1. V. M. Babich, A. S. Alekseyev: On the ray method of the computation of the intensity of wave fronts. Izv. Akad. Nauk SSSR, Geophys. Series 1 (1958), 9.

  2. V. Červený: Gaussian beam synthetic seismograms. J. Geophys. 58 (1985), 44.

    Google Scholar 

  3. V. Červený: The application of ray tracing to the numerical modelling of seismic wavefields in complex structures. In: Seismic shear waves, G. Dohr, Handbook of geophysical exploration, section I: Seismic exploration, K. Helbig and S. Treitel, London: Geophysical Press (1985), 1.

    Google Scholar 

  4. V. Červený, I. A. Molotkov, I. Pšenčík: Ray method in seismology, Charles University, Prague (1977).

    Google Scholar 

  5. V. Červený, M. M. Popov, I. Pšenčík: Computation of wavefields in inhomogeneous media — Gaussian beam approach. Geophys. J. R. astr. Soc. 70 (1982), 109.

    Article  Google Scholar 

  6. V. Červený, I., Pšenčík: Gaussian beam and paraxial ray approximation in three-dimensional elastic inhomogeneous media. J. Geophys. 53 (1983), 1.

    Google Scholar 

  7. V. F. Cormier, M. H. Mellen: Application of asymptotic ray theory to vertical seismic profiling. In: Vertical seismic profiling: Advances concepts, M. N. Toksoz, R. R. Stewart, Geophysical Press (1984), 28.

  8. F. C. Karal, J. B. Keller: Elastic wave propagation in homogeneous and inhomogeneous media. J. Acoust. Soc. Am. 31 (1959), 694.

    Article  Google Scholar 

  9. L. Klimeš: Calculation of seismic wavefields in 3-D media by the method of Gaussian beams (In Czech). Program package SW-84. Research Report No. 68, Charles University, Prague (1985).

    Google Scholar 

  10. L. Klimeš: Discretization error for the superposition of Gaussian beams. Geophys. J. R. astr. Soc. 86 (1986), 531.

    Article  Google Scholar 

  11. L. Klimeš, M. Musil: Calculation of wavefields in a 3-D absorbing medium. Application to vertical seismic profiling (In Czech). Research report No. 74, Charles University, Prague (1986).

    Google Scholar 

  12. M. Musil: Seismic wavefields in 3-D absorbing media with application to vertical seismic profiling (In Czech). Diploma Thesis. Faculty of Mathematics and Physics, Charles University, Prague (1986).

    Google Scholar 

  13. M. Weber: Computation of body-wave seismograms in absorbing 2-D media using the Gaussian beam method: comparison with exact methods. Geophysical Journal 92 (1988), 9.

    Article  Google Scholar 

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Musil, M. Computation of synthetic seismograms in 2-D and 3-D media using the Gaussian beam method. Stud Geophys Geod 33, 213–229 (1989). https://doi.org/10.1007/BF01633525

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  • DOI: https://doi.org/10.1007/BF01633525

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