Asymptotic pseudounitary stacking operators |

In a constant-velocity medium, one can accomplish the true-amplitude zero-offset migration by premultiplying the recorded zero-offset seismic section by the factor [which corresponds at the stationary point to the geometric spreading ] and downward continuation according to formula (40) with the effective velocity (Hubral et al., 1991; Goldin, 1987). This conclusion is in agreement with the analogous result of Born inversion (Bleistein et al., 1985), though derived from a different viewpoint.

In the zero-offset case, the pseudo-unitary forward operator reduces to downward pseudo-unitary continuation with a velocity of .

2013-03-03