1887

Abstract

Summary

Pseudo-analytical method (PAM) holds the advantage of both low temporal and spatial dispersions, but it may generate large error in the complex-velocity media. Fourier finite-difference (FFD) method decomposes the PAM solution into a Fourier transform (FT) operator and a FD operator, it can achieve high accuracy and satisfactory stability in complex-velocity model during wave propagation. In this paper, we adopt a new solution to calculate the optimal FFD coefficients by minimizing the error of the FD operator based on least squares (LS). The numerical examples reveal that the LS-based FFD scheme we proposed can achieve greater accuracy with shorter operator than the LS-based FD method.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201801319
2018-06-11
2024-04-19
Loading full text...

Full text loading...

References

  1. Etgen, J. and O’Brien, M.
    [2007] Computational methods for large-scale 3D acoustic finite difference modeling: A tutorial. Geophysics, 72(5), SM223-SM230.
    [Google Scholar]
  2. Song, X. and Fomel, S.
    [2011] Fourier finite-difference wave propagation. Geophysics, 76(5), T123–T129.
    [Google Scholar]
  3. Liu, Y.
    [2013] Globally optimal finite-difference schemes based on least squares. Geophysics, 78(4), T113–T132.
    [Google Scholar]
  4. Ren, Z. and Li, Z.
    [2017] Temporal high-order staggered-grid finite-difference schemes for elastic wave propagation. Geophysics, 82(5), T207–T224.
    [Google Scholar]
  5. Reshef, M. et al.
    [1988] Three dimension acoustic modeling by the Fourier method. Geophysics, 53(9), 1175–1183.
    [Google Scholar]
  6. Soubaras, R. and Zhang, Y.
    [2008] Two-step explicit marching method for reverse time migration. 78th Annual International Meeting, SEG, Expanded Abstracts, 2272–2276.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201801319
Loading
/content/papers/10.3997/2214-4609.201801319
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