Time-shift imaging condition in seismic migration |

where is the recorded wavefield at the surface as a function of surface midpoint and offset (Figure 6). and stand for traveltimes from sources and receivers at coordinates and to points in the subsurface at coordinates . For simplicity, the amplitude and phase correction term is omitted in equation (36).

kir
Notations for Kirchhoff imaging.
S is a source and R is a receiver.
Figure 6. |
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Images obtained by Kirchhoff migration as discussed in equation (37) differ from image constructed with equation (36). Relation (37) involves a double summation over surface midpoint and offset to produce an image at location . Therefore, the entire input data contributes potentially to every image location. This is advantageous because migrating using relation (36) different offsets independently may lead to imaging artifacts as discussed by Stolk and Symes (2004). After Kirchhoff migration using relation (37), images can be converted to the angle domain using equation (23).

Time-shift imaging condition in seismic migration |

2013-08-29