Efficient migration with one-way operators in the wavelet transform domain
Frank J. Dessing, Kees Wapenaar · 1995
The sparse, efficient and stable representation of the primary prop-agator is an important aspect of current prestack depth migration techniques. The primary propagator accounts for one-way wave propagation (downward or upward) from one depth level to the next depth level. It does not account for scattering at boundaries. This paper aims at giving a representation of the primary propaga-tor in the wavelet transform domain and at giving a representation of the seismic data in the wavelet domain. An efficient full prestack migration scheme which uses advantageously the structure of the non-standard wavelet transform, will be derived from these repre-sentations. Furthermore, it is shown that the wavelet transform enables the user to choose between resolution and efficiency.