Greens Functions for 3-D Seismic Migration

The space-time Greens functions for 3-D poststack and 3-D prestack migration in a homogeneous medium are derived under the fareld approximation. These Greens functions can be used to practically compute synthetic migrated images. Examples are given for the recording footprint noise associated with a point scatterer and a meandering river channel. The Greens functions also provide fundamental insights into how migration artifacts are inuenced by di erent recording geometries. As an example, we see that the strong artifacts in the migration image are perpendicular to the resonant directions of the recording array. INTRODUCTION It is very important for seismic explorationists to understand the noisy in uence of the source-receiver geometry on the nal migration image. This noisy in uence is sometimes