# Frequency-wavenumber migration in practice

Series | Investigations in Geophysics |
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Author | Öz Yilmaz |

DOI | http://dx.doi.org/10.1190/1.9781560801580 |

ISBN | ISBN 978-1-56080-094-1 |

Store | SEG Online Store |

Two different methods of migration are implemented in the frequency-wavenumber domain. The Stolt method is exact for a constant-velocity medium, while the phase-shift method is exact for a medium with vertical velocity variations. The Stolt method can be extended to the case of a medium with lateral velocity variations judged to be acceptable for time migration. The phase-shift method also can be extended to handle lateral velocity variations. One extension, phase-shift-plus-interpolation scheme, accommodates lateral variations in velocity by interpolating between the results of migration using a group of vertically-varying velocity functions. Another extension, phase-shift-plus-correction, applies an additional extrapolation operator at each depth step to account for differences between the laterally varying velocity field and vertically varying-only velocity function used for phase-shift migration. The phase-shift method also has been extended to image turning waves associated with salt overhang structures.

## See also

- Introduction to migration
- Migration principles
- Kirchhoff migration in practice
- Finite-difference migration in practice
- Frequency-space migration in practice
- Further aspects of migration in practice
- Exercises
- Mathematical foundation of migration