Vector imaging of converted wave data in laterally uniform media with VTI anisotropy

Geophysics ◽  
2006 ◽  
Vol 71 (4) ◽  
pp. S141-S145 ◽  
Author(s):  
Charlie Jing ◽  
Thomas A. Dickens ◽  
Graham A. Winbow

A vector imaging method has been developed for PS-converted waves in laterally homogeneous vertically transverse isotropic (VTI) media. It decomposes the converted-wave data into two upgoing quasi-shear waves ([Formula: see text] and [Formula: see text]) within the prestack migration algorithm according to subsurface image and surface receiver locations. Because the decomposition is performed as part of the migration, it is consistent with the dip and polarization of the seismic events, unlike traditional algorithms that use premigration rotations. Two shear-wave images with potentially enhanced resolution are formed simultaneously from the vector migration. The effects of VTI anisotropy on PS-converted wave imaging and the capability of the PS vector imaging algorithm to provide enhanced images are illustrated using a point-scatterer model.

2019 ◽  
Vol 16 (2) ◽  
pp. 171-184
Author(s):  
Xiao Wu ◽  
Yang Liu ◽  
Yong Wang ◽  
Shi-Gang Xu ◽  
Wan-Li Jia

Geophysics ◽  
2007 ◽  
Vol 72 (4) ◽  
pp. S177-S185 ◽  
Author(s):  
Ørjan Pedersen ◽  
Bjørn Ursin ◽  
Alexey Stovas

An anisotropic medium with vertical symmetry axis (VTI) often presents a good model for describing real rocks. Propagation of quasi-P- and quasi-SV-waves in such media requires an expression of the vertical phase slowness, a complicated function of the horizontal phase slowness and the medium parameters. For converted-wave phase-shift migration methods, it is desired to have slowness expressions that are simple and accurate at wide angles of propagation. Taylor-series representations of the squared vertical slowness for quasi-P- and quasi-SV-waves result in new wide-angle phase-slowness approximations based on truncated series and continued-fraction representations. Slowness approximations that are exact for both vertical propagation and at a horizontal slowness corresponding to horizontally traveling qP-waves are derived. The approximation for quasi-SV-waves can be used in phase-shift migration in media where the quasi-SV wavefront contains triplications. These approximations are tested on several models and compared to previously published approximations. The numerical tests suggest that the new continued-fraction approximations are more accurate. They can be used in phase-shift migration algorithms, which are more efficient for large angles than the existing approximations.


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