1887

Abstract

Summary

Usually the computational cost of the quasi-P simulation depends on the complexity of the medium, and specifically the anisotropy. The effective-model method splits the anisotropic dispersion relation to an isotropic background and a correction factor that depends on the gradient of the wavefields. As a result, the computational cost is independent of the nature of anisotropy, which makes the extrapolation efficient. A dynamic implementation of this approach decomposes the original pseudo-differential operator into a Laplacian, handled using the low-rank approximation of the spectral operator, and an angular dependent correction factor applied in the space domain to correct for anisotropy. We analyze the role played by the correction factor and propose a new spherical decomposition. The proposed method provides accurate wavefields in phase and a more balanced amplitude. Also, it is free of SV-wave artifacts. Applications to a simple homogeneous VTI model and the revised Hess VTI model demonstrate the effectiveness of the approach.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201600814
2016-05-30
2021-12-09
Loading full text...

Full text loading...

References

  1. Alkhalifah, T.
    [2000] An acoustic wave equation for anisotropic media. Geophysics, 3(4), 1239–1250.
    [Google Scholar]
  2. Alkhalifah, T., Ma, X., bin Waheed, U. and Zuberi, M.
    [2013] Efficient anisotropic wavefield extrapolation using effective isotropic models. In: 75th EAGE Conference & Exhibition incorporating SPE EUROPEC 2013.
    [Google Scholar]
  3. Song, X., Fomel, S. and Ying, L.
    [2013] Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation in the acoustic approximation. Geophysical Journal International, ggt017.
    [Google Scholar]
  4. Xu, S., Tang, B., Mu, J. and Zhou, H.
    [2015] Elliptic Decomposition of Quasi-P Wave Equation. In: 77th EAGE Conference and Exhibition 2015.
    [Google Scholar]
  5. Xu, S. and Zhou, H.
    [2014] Accurate simulations of pure quasi-P-waves in complex anisotropic media. Geophysics, 79(6), T341–T348.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201600814
Loading
/content/papers/10.3997/2214-4609.201600814
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