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Volume 53, Issue 6
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Based on an acoustic assumption (that the shear‐wave velocity is zero) and a dispersion relationship, we derive an acoustic wave equation for P‐waves in tilted transversely isotropic (TTI) media (transversely isotropic media with a tilted symmetry axis). This equation has fewer parameters than an elastic wave equation in TTI media and yields an accurate description of P‐wave traveltimes and spreading‐related attenuation. Our TTI acoustic wave equation is a fourth‐order equation in time and space. We demonstrate that the acoustic approximation allows the presence of shear waves in the solution. The substantial differences in traveltime and amplitude between data created using vertical transversely isotropic (VTI) and TTI assumptions is illustrated in examples.

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2005-11-02
2024-04-25

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References

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Finite‐difference modelling of wave propagation in acoustic tilted TI media
Geophysical Prospecting 53, 843 (2005); https://doi.org/10.1111/j.1365-2478.2005.00504.x
/content/journals/10.1111/j.1365-2478.2005.00504.x
/content/journals/10.1111/j.1365-2478.2005.00504.x
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  • Article Type: Research Article

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