1887

Abstract

Summary

The previous pure acoustic anisotropic wave equations (PAAWEs) mainly derived from the decoupled elastic wavefield and had complicated spatial pseudo differential operator (SPDO). It can directly apply some spectral methods to these equations or employ series expansions to approximate the SPDO and then solve the approximate pure P-wave equations. Considering the spectral methods need fairly large computational load and low-order series expansions have accuracy loss in some cases, here, we present the corresponding solutions to these issues. The square root term in Alkhalifah’s accurate dispersion relation in transversely isotropic (TI) media is expanded by arbitrary-order expansions and the corresponding PAAWEs are efficiently solved by the normalized pseudo-analytical method (NPAM) based on optimized pseudo-differential operator (OPO). Our analyses of phase velocity errors indicate that the accuracy of new expressions is perfectly acceptable for majority anisotropic parameters. The effectiveness of the proposed method also can be verified by several numerical examples and reverse time migration (RTM) profile.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201701116
2017-06-12
2020-08-13
Loading full text...

Full text loading...

References

  1. Alkhalifah, T.
    [2000] An acoustic wave equation for anisotropic media, Geophysics, 65, 1239–1250.
    [Google Scholar]
  2. Chu, C., Macy, B. K. and Anno, P. D.
    [2013] Pure acoustic wave propagation in transversely isotropic media by the pseudospectral method, Geophysical Prospecting, 61, 556–567.
    [Google Scholar]
  3. Fletcher, R. P., Du, X. and Fowler, P. J.
    [2009] Reverse time migration in tilted transversely isotropic (TTI) media, Geophysics, 74, WCA179–WCA187.
    [Google Scholar]
  4. Liu, Y. and Sen, M. K.
    [2010] A hybrid scheme for absorbing edge reflections in numerical modeling of wave propagation, Geophysics, 75, A1–A6.
    [Google Scholar]
  5. Yan, J. and Liu, H.
    [2016] Modeling of pure acoustic wave in tilted transversely isotropic media using optimized pseudo-differential operators, Geophysics, 81, T91–T106.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201701116
Loading
/content/papers/10.3997/2214-4609.201701116
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