The 3D depth migration via McClellan transformations
Abstract
Threedimensional seismic wavefields may be extrapolated in depth, one frequency at a time, by twodimensional convolution with a circularly symmetric, frequency and velocitydependent filter. This depth extrapolation, performed for each frequency independently, lies at the heart of 3D finitedifference depth migration. The computational efficiency of 3D depth migration depends directly on the efficiency of this depth extrapolation. McClellan transformations provide an efficient method for both designing and implementing twodimensional digital filters that have a particular form of symmetry, such as the circularly symmetric depth extrapolation filters used in 3D depth migration. Given the coefficients of onedimensional, frequency and velocitydependent filters used to accomplish 2D depth migration, McClellan transformations lead to a simple and efficient algorithm for 3D depth migration.
 Publication:

Unknown
 Pub Date:
 1990
 Bibcode:
 1990ddmv.rept.....H
 Keywords:

 Algorithms;
 Digital Filters;
 Extrapolation;
 Finite Difference Theory;
 Seismic Waves;
 Signal Processing;
 Transformations (Mathematics);
 Depth;
 Frequency Response;
 Migration;
 Geophysics