Skip to main content

Finite-Difference Simulations of Seismic Wavefields in Isotropic and Anisotropic Earth Models

  • Conference paper
High Performance Computing in Science and Engineering ’01

Abstract

The analysis of the propagation of elastic waves (seismic phases) plays an essential role in studying the structure, composition and evolution of Earth’s interior. Elastic waves may be generated by earthquakes or artificial sources (explosives). Analysing the recorded wavefields yields information about the medium through which the waves have propagated. Information about the velocity structure within the Earth, provides important constraints on the mineralogical composition. In most cases, however, the direct derivation of a velocity model is not possible. The comparison of synthetic seismograms with observations can be used in the interpretation of the recorded seismic data and for the analysis of wave propagation effects. In this forward-modeling approach, an initial model of the velocity structure is modified until observed and calculated wavefields agree sufficiently well. We discuss applications of wavefield simulations in isotropic and anisotropic elastic media that have improved our knowledge about the elastic fine structure of Earth’s interior. Our modeling is based on finite-difference schemes to solve the elastic wave equation. Efficient implementations of the corresponding code with further examples of seismic wavefield modeling are also given in [11].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Aki, K. E., and P. G. Richards, Quantitative Seismology-Theory and Methods, Freemann, San Francisco, 1980.

    Google Scholar 

  2. Alsina, D. and Snieder, R., Small-scale sublithospheric continental mantle deformation: constraints from SKS splitting observations, Geophys. J. Int., 123, 431–448, 1995.

    Article  Google Scholar 

  3. Babuska, V., and M. Cara, Seismic anisotropy in the Earth, Kluwer Academic Publishers, Dordrecht, 1991.

    Book  Google Scholar 

  4. Crampin, S, An introduction to wave propagation in anisotropic media, Geophys. J. R. astr. Soc., 76, 135–145, 1984.

    Article  Google Scholar 

  5. Kelly, K. R., Ward, R. W., Treitel, S., and Alford, R. M., Synthetic seismo-grams: a finite-difference approach, Geophysics, 41, 2–27, 1976.

    Article  Google Scholar 

  6. Kumazawa, M., and O. L. Anderson, Elastic moduli, pressure derivatives, and temperature derivatives of single-crystal olivine and single-crystal forsterite, J. Geophys. Res., 74, 5.961-5.972, 1969.

    Google Scholar 

  7. Mainprice, D., and P. G. Silver, Interpretation of SKS-waves using samples from the subcontinental lithosphère, Phys. Earth Planet. Inter., 78, 257–280, 1993.

    Article  Google Scholar 

  8. Rümpker, G. and Ryberg, T., New “Fresnel-zone” estimates for shear-wave splitting observations from finite-difference modeling, Geophys. Res. Lett., 27, 2005–2008, 2000.

    Article  Google Scholar 

  9. Ryberg, T. and Weber, M., Receiver function arrays-a reflection seismic approach, Geophys. J. Int., 141, 1–11, 2000.

    Article  Google Scholar 

  10. Ryberg, T., Tittgemeyer, M., and Wenzel, F., Finite difference modelling of P-wave scattering in the upper mantle, Geophys. J. Int., 141, 787–801, 2000.

    Article  Google Scholar 

  11. Ryberg, T., Tittgemeyer, M., and Wenzel, F., Finite difference modelling of elastic wave propagation in the Earth’s uppermost mantle, in High Performance Computing in Science and Engineering’99, edited by E. Krause and W. Jäger, pp. 3–12, Springer, Berlin Heidelberg New York, 2000.

    Google Scholar 

  12. Ryberg, T., Tittgemeyer, M., and Wenzel, F., Finite difference modelling of seismic wave phenomena within the Earth’s uppermost mantle, submitted to Transactions of the High Performance Computing Center Stuttgart (HLRS), 2000.

    Google Scholar 

  13. Tittgemeyer, M., Wenzel, F., Fuchs, K., and Ryberg, T., Wave propagation in a multiple-scattering upper mantle-observations and modelling, Geophys. J. Int., 127, 492–502, 1996.

    Article  Google Scholar 

  14. Tittgemeyer, M., Wenzel, F., Ryberg, T., Fuchs, K., Scales of heterogeneities in the continental crust and upper mantle. Pure Appl. Geophys., 156, 29–52, 1999.

    Article  Google Scholar 

  15. Wessel, P. and Smith, W., Free software helps map and display data, EOS Trans. Am. Geophys. Union, 72, 441, 445-446, 1991.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ryberg, T., Rümpker, G., Tittgemeyer, M., Wenzel, F. (2002). Finite-Difference Simulations of Seismic Wavefields in Isotropic and Anisotropic Earth Models. In: Krause, E., Jäger, W. (eds) High Performance Computing in Science and Engineering ’01. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56034-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-56034-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62719-4

  • Online ISBN: 978-3-642-56034-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics