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In this chapter, the formalism introduced in Chapter 1 is used to develop inversion and processing techniques for conventional-spread P-wave data from azimuthally anisotropic media. Stacking-velocity analysis for wide-azimuth 3D surveys often ignores the azimuthal dependence of normal moveout from horizontal reflectors, which may lead to distortions in the processing results (Lynn et al., 1996). A single value of stacking (NMO) velocity applied to the whole CMP gather causes underestimation of Vnmo for source-receiver azimuths near the “fast” direction of the NMO ellipse and overestimation near the “slow” direction. Hence, mixing of different azimuths impairs the performance of the moveout correction and, therefore, the quality of the stacked section. These distortions can be avoided by reconstructing the best-fit NMO ellipse and applying the correct stacking velocity for all azimuthal directions.

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