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 | Velocity continuation and the anatomy of
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Published as Geophysics, 68, 1650-1661 (2003)
Velocity continuation and the anatomy of
residual prestack time migration
Abstract:
Velocity continuation is an imaginary continuous process of
seismic image transformation in the post-migration domain. It generalizes
the concepts of residual and cascaded migrations. Understanding the laws
of velocity continuation is crucially important for a successful application
of time migration velocity analysis. These laws predict the changes
in the geometry and intensity of reflection events on migrated images with
the change of the migration velocity. In this paper, I derive kinematic
and dynamic laws for the case of prestack residual migration from simple
geometric principles. The main theoretical result is a decomposition
of prestack velocity continuation into three different components
corresponding to residual normal moveout, residual dip moveout, and residual
zero-offset migration. I analyze the contribution and properties of each of
the three components separately. This theory forms the basis for
constructing efficient finite-difference and spectral algorithms for
time migration velocity analysis.
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| Velocity continuation and the anatomy of
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2014-04-01