Steeply dipping residual reverberations are commonly observed after conventional, single trace, lagged dereverberation. An empirical study of the kinematics of water-bottom reverberations has led to the development of a simple procedure that fully dereverberates zerooffset seismic data with a flat water-bottom and arbitrarily dipping sub-surface events. The reverberations from sub-surface reflectors can be regularized both spatially and temporally by time migration at water velocity. Subsequent single trace, lagged dereverberation is then very effective for all dips simultaneously. A residual time migration can move the dereverberated primary events to their final migrated position. Optimal seismic processing should consider the coupling implied between these previously separate and distinct processing steps.