1887

Abstract

Summary

High-frequency asymptotic methods, based on solving the eikonal equation, are widely used for many seismic processing and imaging applications. For an attenuating medium, the eikonal equation becomes complex. The real part of the resulting complex traveltime describes the wave propagation while the imaginary part is associated with attenuation effects. During the past decades, several methods have been proposed to numerically solve the eikonal equation for non-attenuating media. However, solving a complex eikonal equation numerically involves several complications. We propose a fast sweeping algorithm to approximate the solution of the acoustic eikonal equation for attenuating transversely isotropic media with a vertical symmetry axis (VTI). We implement a perturbation method to derive the governing equations for the zeroth- and the first-order coefficients of the traveltime expansion. Numerical tests show that the proposed scheme is applicable to VTI media with weak attenuation.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201801124
2018-06-11
2020-09-26
Loading full text...

Full text loading...

References

  1. Alkhalifah, T.
    [2000] An acoustic wave equation for anisotropic media. Geophysics, 65(2), 1239–1250.
    [Google Scholar]
  2. Hao, Q. and Alkhalifah, T.
    [2017a] An acoustic eikonal equation for attenuating orthorhombic media. Geophysics, 82(4), WA67–WA81.
    [Google Scholar]
  3. [2017b] An acoustic eikonal equation for attenuating transversely isotropic media with a vertical symmetry axis. Geophysics, 82(1), C9–C20.
    [Google Scholar]
  4. [2017c] Acoustic eikonal solutions for attenuating VTI media. 87th Annual International Meeting, SEG, Expanded Abstracts, 289–293.
    [Google Scholar]
  5. Waheed, U. and Alkhalifah, T.
    [2017] A fast sweeping algorithm for accurate solution of the tilted transversely isotropic eikonal equation using factorization. Geophysics, 82(6), WB1–WB8.
    [Google Scholar]
  6. Zhu, Y. and Tsvankin, I.
    [2006] Plane-wave propagation in attenuative transversely isotropic media. Geophysics, 71(2), T17–T30.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201801124
Loading
/content/papers/10.3997/2214-4609.201801124
Loading

Data & Media loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error