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Three-dimensional prestack depth migration is the convenient approach for seismic imaging in the case of strong lateral variations of the velocity. Because of computing limitations, it has been limited to single-arrival kinematic Kirchhoff migration until recently. This approach fails in the case of complex media characterized by multiarrival traveltimes. We present numerical strategies for extending in three dimensions first-arrival kinematic Kirchhoff migration to multiarrival quantitativedoi:10.1190/1.1801948 fatcat:k6rdagc6vja65nekhlcdbracfa