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Depth migration in transversely isotropic media with explicit operators

Thesis/Dissertation ·
DOI:https://doi.org/10.2172/10128845· OSTI ID:10128845
 [1]
  1. Colorado School of Mines, Golden, CO (United States)
The author presents and analyzes three approaches to calculating explicit two-dimensional (2D) depth-extrapolation filters for all propagation modes (P, SV, and SH) in transversely isotropic media with vertical and tilted axis of symmetry. These extrapolation filters are used to do 2D poststack depth migration, and also, just as for isotropic media, these 2D filters are used in the McClellan transformation to do poststack 3D depth migration. Furthermore, the same explicit filters can also be used to do depth-extrapolation of prestack data. The explicit filters are derived by generalizations of three different approaches: the modified Taylor series, least-squares, and minimax methods initially developed for isotropic media. The examples here show that the least-squares and minimax methods produce filters with accurate extrapolation (measured in the ability to position steep reflectors) for a wider range of propagation angles than that obtained using the modified Taylor series method. However, for low propagation angles, the modified Taylor series method has smaller amplitude and phase errors than those produced by the least-squares and minimax methods. These results suggest that to get accurate amplitude estimation, modified Taylor series filters would be somewhat preferred in areas with low dips. In areas with larger dips, the least-squares and minimax methods would give a distinctly better delineation of the subsurface structures.
Research Organization:
Colorado School of Mines, Golden, CO (United States). Center for Wave Phenomena
Sponsoring Organization:
USDOE
DOE Contract Number:
FG02-89ER14079
OSTI ID:
10128845
Report Number(s):
DOE/ER/14079--37; CWP--163; ON: DE95007670; BR: KC0403010
Country of Publication:
United States
Language:
English