The 3-D depth migration via McClellan transformations
Abstract
Three-dimensional seismic wavefields may be extrapolated in depth, one frequency at a time, by two-dimensional convolution with a circularly symmetric, frequency- and velocity-dependent filter. This depth extrapolation, performed for each frequency independently, lies at the heart of 3-D finite-difference depth migration. The computational efficiency of 3-D depth migration depends directly on the efficiency of this depth extrapolation. McClellan transformations provide an efficient method for both designing and implementing two-dimensional digital filters that have a particular form of symmetry, such as the circularly symmetric depth extrapolation filters used in 3-D depth migration. Given the coefficients of one-dimensional, frequency- and velocity-dependent filters used to accomplish 2-D depth migration, McClellan transformations lead to a simple and efficient algorithm for 3-D depth migration.
- Publication:
-
Unknown
- Pub Date:
- 1990
- Bibcode:
- 1990ddmv.rept.....H
- Keywords:
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- Algorithms;
- Digital Filters;
- Extrapolation;
- Finite Difference Theory;
- Seismic Waves;
- Signal Processing;
- Transformations (Mathematics);
- Depth;
- Frequency Response;
- Migration;
- Geophysics