Kirchhoff migration and modeling algorithms are integral methods in which the dominant contribution to the<br>integral is from the stationary phase regions of the operator-mapped input data. We have developed an analogy<br>to such Kirchhoff methods for application to event picks derived from seismic data. In contrast to the Kirchhoff<br>algorithm, our method explicitly detects the stationary phase regions in the operator-mapped input pick dataset<br>and associates with each an output pick. Unlike map-migration type algorithms, this method does not require<br>horizon dip information, or even that the picks be assembled into distinct horizons. Thus, relatively simple<br>automated seismic data picking algorithms may be employed to generate the input pick dataset.<br>Two applications of these algorithms are depth model verification using reflection time pick migration and the<br>generation of reflection time picks from time-migrated data for use in traveltime tomography.<br>Both migration and modeling algorithms have been verified on a pick dataset derived from a relatively complex<br>model incorporating steep dips and non-smooth reflectors.


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