Anti-aliasing by interpolation in pre-stack wave-equation migration

Spatial aliasing is an important issue in seismic migration. In this paper, we discuss anti-aliasing schemes in the wavefield continuation which is a wave-equation-based migration method. We describe the difference in interpolation applied pre and post the imaging condition, and compare the effectiveness of the linear interpolation and the sinc function interpolation. Our conclusion is that a five-sample sinc function interpolation applied before the imaging condition is an optimal anti-aliasing scheme according to theoretical and application analysis. We then apply the 3D Born approximation pre-stack depth migration method with optimal anti-aliasing interpolation to a 80 km(2) seismic dataset. The migration result shows that the method we propose is better than a conventional wave equation method ( not applied anti-spatial aliasing) in the definition of reflection events.