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Riemannian spaces are prescribed by
non-orthogonal curvilinear coordinates.
In this chapter,
I generalize one-way wavefield extrapolation to
semi-orthogonal Riemannian coordinate systems, that
include, but are not limited to, ray coordinate systems.
I obtain a one-way wavefield extrapolation method
which can be used for waves propagating in arbitrary
directions, in contrast with downward continuation
which is used for waves propagating mainly
in the vertical direction.
Ray coordinate systems can be initiated either from
point sources, or from plane waves incident at various
angles.
Since wavefield propagation happens mostly along the
extrapolation direction, this method enables us to
use inexpensive finite-difference or mixed-domain
extrapolators to achieve high angle accuracy.
The main applications of this method include imaging
of steeply dipping or overturning reflections.

** Next:** Introduction
** Up:** Riemannian wavefield extrapolation
** Previous:** Riemannian wavefield extrapolation
Stanford Exploration Project

11/4/2004