In the paper, we use generalized phase screen method to implement the single shot prestack depth migration for Marmousi model and we also compared results from splitting step Fourier (SSF) method and Fourier finite difference method (FFD).

To solve the imaging problems in complicated media, the author briefly discusses the principle of generalized screen migration, which is paid close attention recently in the circle of geophysicists.

The expression of signal with orthogonal wavelet packet is mathematically graceful and succinct, but the proved fact is that the whole members of orthogonal wavelet packet family with compact support has not generalizing linear phase, so the signal can not be reconstructed without distortion.

This paper proposes a kind of semi-orthogonal wavelet packet——BWavelet Packet,which has generalizing linear phase, and with which the reconstructed signal can be carried out without distortion.

For the high order generalized screen propagator prestack depth migration, the more the order is the better the result we get.