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For narrow azimuth data,
conical-wave source migration has been demonstrated as an efficient way to image the subsurface Duquet et al. (2001); Whitmore (1995); Zhang et al. (2005).
The conical-wave source data are generated as follows
| |
(9) |

And the corresponding conical source at the surface is
| |
(10) |

Similar to the plane-wave source migration, the image of a conical-wave source can be obtained by
cross-correlating the source and receiver wavefields weighted with the frequency :
| |
(11) |

where and are the conical-wave source and receiver
wavefields extrapolated from the surface using equation 1 and 2. The final image is
generated by stacking images of all possible conical-wave sources of all sail lines:
| |
(12) |

Similar to the 3D plane-wave migration, the image of conical-wave migration is equivalent to the shot-profile migration.

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Stanford Exploration Project

5/6/2007