1887

Abstract

Summary

Wavefield extrapolation is at the heart of modeling, imaging, and Full waveform inversion. Spectral methods gained well deserved attention due to their dispersion free solutions and their natural handling of anisotropic media. We propose a scheme a modified one-step lowrank wave extrapolation using Shanks transform in isotropic, and anisotropic media. Specifically, we utilize a velocity gradient term to add to the accuracy of the phase approximation function in the spectral implementation. With the higher accuracy, we can utilize larger time steps and make the extrapolation more efficient. Applications to models with strong inhomogeneity and considerable anisotropy demonstrates the utility of the approach.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.20140816
2014-06-16
2022-05-28
Loading full text...

Full text loading...

References

  1. Bender, C. M., and S. A.Orszag
    , 1978. Advanced mathematical methods for scientists and engineers: McGraw-Hill, Singapore.
    [Google Scholar]
  2. Fomel, S., L.Ying, and X.Song
    , 2013, Seismic wave extrapolation using low-rank symbol approximation: Geophysical Prospecting, 61, no. 3, 526–536, http://dx.doi.org/10.1111/j.1365-2478.2012.01064.x.
    [Google Scholar]
  3. J.Sun, and S.Fomel
    , 2013Low-rank one-step wave extrapolation. SEG Technical Program Expanded Abstracts 2013: pp. 3905–3910., doi: 10.1190/segam2013‑1123.1
    https://doi.org/10.1190/segam2013-1123.1 [Google Scholar]
  4. Virieux, J., H.Calandra, and R.Plessix
    , 2011, A review of the spectral, pseudospectral, finite-difference, and finite element modeling techniques for geophysical imaging: Geophysical Prospecting, 59, 794–813.
    [Google Scholar]
  5. Wu, Z. and AlkhalifahT
    , The Optimized Expansion Method for Wavefield Extrapolation: 75th Annual EAGE Meeting, EAGE, Expanded Abstracts, 2013.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.20140816
Loading
/content/papers/10.3997/2214-4609.20140816
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