1887
Volume 67 Number 9
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

In this paper, we consider wave propagation in a periodically layered medium with orthorhombic symmetry. The weak‐contrast approximation is utilized to derive the low‐frequency dispersion in effective properties for P, S1 and S2 waves. We show that the dispersion term for all effective properties is controlled by the second‐order contrasts in elastic properties from the layers. We also compute the sensitivity matrices for second‐ and fourth‐order coefficients from eigenvalues of frequency‐dependent system matrix associated with kinematic parameters for individual wave modes.

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/content/journals/10.1111/1365-2478.12804
2019-06-11
2024-04-23
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References

  1. AkiK. and RichardsP.G.1980. Quantitative Seismology, Theory and Methods. Freeman, San Francisco.
    [Google Scholar]
  2. FryerG.J. and FrazerL.N.1987. Seismic waves in stratified anisotropic media—II: Elastodynamic eigensolutions for some anisotropic systems. Geophysical Journal International91, 73–101.
    [Google Scholar]
  3. IvanovY. and StovasA.2017. S‐waves singularities in tilted orthorhombic media. Geophysics82, WA11‐WA21.
    [Google Scholar]
  4. LankasterP.1969. Theory of Matrices. Academic Press, New York.
    [Google Scholar]
  5. MadelungE.1964. Die mathematischen Hilfsmittel des Physikers, 7 edn. Springer‐Verlag, Berlin.
    [Google Scholar]
  6. RoganovY. and StovasA.2012. Low‐frequency wave propagation in periodically layered media. Geophysical Prospecting60, 825–837.
    [Google Scholar]
  7. RoganovY. and StovasA.2014. Low‐frequency normal wave propagation in a periodically layered medium with weak contrast in elastic properties. Geophysical Prospecting62, 1205–1210.
    [Google Scholar]
  8. ShuvalovA.L., KutsenkoA.A., NorrisA.N. and PonceletO.2011. Effective Willis constitutive equations for periodically stratified anisotropic elastic media. Proceedings of the Royal Society A467, 1749–1769.
    [Google Scholar]
  9. StovasA.2017. Kinematic parameters of pure‐ and converted‐waves in elastic orthorhombic media. Geophysical Prospecting65, 426–452.
    [Google Scholar]
  10. StovasA., RoganovY., DuffautK. and CarterA.2013. Low‐frequency layer‐induced anisotropy. Geophysics78, C89‐C100.
    [Google Scholar]
  11. StrohA.N.1962. Steady state problems in anisotropic elasticity. Journal of Mathematical Physics41, 77–103.
    [Google Scholar]
  12. TsvankinI.1997. Anisotropic parameters and P‐wave velocity for orthorhombic media. Geophysics62, 1292–1309.
    [Google Scholar]
  13. WillisJ.R.2009. Exact effective relations for dynamics of a laminated body. Mechanics of Materials41, 385–393.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Anisotropy; Elastics; Theory

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