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Higher-order Riemannian wavefield extrapolation is needed when the coordinate
system does not closely conform with the general direction of wavefield
propagation. This situation occurs, for example, when the coordinate
system is created by ray tracing in a medium that is different from the
one used for extrapolation, or when the coordinate system is constructed
based on some geometrical properties of the acquisition geometry
(e.g. migration from topography).
Space-domain and mixed-domain finite-difference solutions to
Riemannian wavefield extrapolation improve the angular accuracy.
3D solutions can be addressed with explicit finite-differences,
although this remains subject for future research.

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Stanford Exploration Project

10/23/2004