pure and applied geophysics

, Volume 148, Issue 1–2, pp 113–136 | Cite as

Application of the edge wave superposition method

  • Margarita Luneva
Article

Abstract

Numerical examples of high-frequency synthetic seismograms of body waves in a 2-D layered medium with complex interfaces (faults, wedges, curvilinear, corrugated) are presented. The wave field modeling algorithm combines the possibilities of the ray method and the edge wave superposition method. This approach preserves all advantages of the ray method and eliminates restrictions related to diffraction by boundary edges and to caustic effects in singular regions. The method does not require two-point ray tracing (source-to-receiver), and the position of the source, as well as the type of source, and the position of receivers can be chosen arbitrarily. The memory and the time required for synthetic seismogram computation are similar to ray synthetic seismograms. The computation of the volume of the medium (the Fresnel volume or Fresnel zones), which gives the essential contribution to the wave field, is included in the modeling program package. In the case of complicated irregular interface (or a layered medium with a regular ray field at the last interface), the method displays a high accuracy of wave field computation. Otherwise, the method can be considered a modification of the ray method with regularization by the superposition of edge waves.

Key words

Diffraction edge wave superposition ray tracing synthetic seismograms 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aizenberg, A. M., andKlem-Musatov, K. D. (1980),Calculation of Wave Field by the Method of Superposition of Edge Waves, Soviet Geol. and Geophys.21 (6), 79–94 (in Russian).Google Scholar
  2. Aizenberg, A. M. (1993),A System of Irregular Fundamental Solution to Wave Equation in a 3-D Inhomogeneous Medium, Soviet Geol. and Geophys.34 (4), 119–127 (in Russian).Google Scholar
  3. Alekseev, A. S., andGelchinsky, B. Ya.,On the ray method of computation of wave field for inhomogeneous media with curved interfaces. InProblems of the Dynamic Theory of Propagation of Seismic Waves (ed. Petrashen, G. I.) (Leningrad Univ. Press, Leningrad 1959) Vol. 3, pp. 107–160 (in Russian).Google Scholar
  4. Alekseev, A. S., Babich, V. M., andGelchinsky, B. Ya.,Ray method in computation of the wave field intensity. InProblems of the Dynamic Theory of Propagation of Seismic Waves (ed. Petrashen, G. I.) (Leningrad Univ. Press, Leningrad 1961) Vol. 5, pp. 3–24 (in Russian).Google Scholar
  5. Born, M., andWolf, E.,Principle of Optics (Pergamon Press, Oxford 1968).Google Scholar
  6. Červený, V., Molotkov, I. A., andPšenčík, I.,Ray Method in Seismology (Karlova Universita, Praha 1977).Google Scholar
  7. Červený, V. (1985),Gaussian Beam Synthetic Seismograms, J. Geophys.58, 44–72.Google Scholar
  8. Fock, V. A.,Electromagnetic Diffraction and Propagation Problems (Pergamon Press, New York 1965).Google Scholar
  9. Hilterman, F. J. (1982),Interpretative Lessons from Three-dimensional Modelling, Geophys.47, 784–808.Google Scholar
  10. Keller, J. B. (1962),A Geometrical Theory of Diffraction, J. Opt. Soc. Am.52, 116–130.Google Scholar
  11. Klem-Musatov, K. D.,The Theory of Edge Waves and its Applications in Seismology (Nauka, Novosibirsk 1980) (in Russian).Google Scholar
  12. Klem-Musatov, K. D., andAizenberg, A. M. (1984),Ray Method and the Theory of Edge Waves, Geophys. J. R. Astr. Soc.79, 35–50.Google Scholar
  13. Klem-Musatov, K. D., andAizenberg, A. M. (1985),Seismic Modelling by Methods of the Theory of Edge Waves, J. Geophys.57, 90–105.Google Scholar
  14. Kravstov, Yu. A., andOrlov, Yu. I.,Geometrical Optics of Inhomogeneous Media (Nauka, Moscow 1980) (in Russian).Google Scholar
  15. Luneva, M. N.,Influence of Interface Geometry on the Dynamics of Transmitted Wave (DVO AN USSR, Vladivostok 1992) (in Russian).Google Scholar
  16. Luneva, M. N., andChang, Y. F. (1995),Scattering of Elastic Waves by a Thin Soft Layer, J. Seismic Exploration4, 17–32.Google Scholar
  17. Mikhalenko, B. G.,Scattering Field in Complex Media (Atlas of Snapshots and Synthetic Seismograms) (AN USSR, Siberian Branch, Computing Center, Novosibirsk 1988) (in Russian).Google Scholar
  18. Popov, M. M.,A new method of computation of wave fields in high-frequency approximation. InNotes of Scientific Workshop LOMI (LOMI, Leningrad 1981)104, pp. 195–216 (in Russian).Google Scholar
  19. Trorey, A. W. (1977),Diffraction for Arbitrary Source-receiver Locations, Geophys.42, 1177–1182.Google Scholar

Copyright information

© Birkhäuser Verlag 1996

Authors and Affiliations

  • Margarita Luneva
    • 1
  1. 1.Institute of Tectonics and GeophysicsFar East Branch of the Russian Academy of SciencesKhabarovskRussia

Personalised recommendations