Designing stable operators for explicit depth extrapolation of 3-D wavefields using Projections onto Convex Sets

In this paper, the extension of the design algorithm of explicit depth extrapolation operators using the method of modified Projections onto Convex Sets (modified POCS) for three-dimensional (3-D) seismic data is presented. Designing such true two-dimensional (2-D) operators is difficult to achieve with other finite length operator design techniques. The operators are feasible in the sense that they satisfy all required extrapolation design characteristics. Finally, the 2-D extrapolators design algorithm, using modified POCS for 3-D extrapolation, results in a perfectly circularly symmetrical migration impulse response with a dip angle of 65°.