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For Gaussian beam depth migration,
the conventional kinematic ray tracing process is performed to find
some ray paths from each surface source point.
These ray paths serve as frames for wave propagation.
The frequency components of the surface seismogram are then backprojected into
the background velocity model as Gaussian beams.
This process is accomplished by dynamic ray tracing
along the previously found ray paths to obtain solutions
to the local parabolic wave equation. The solutions are called Gaussian beams.
For depth migration of zero-offset stack section, the reflectivity image is
that of the wavefield at time *t*=0 when all the reflectors explode; it is
produced by evaluating Equation (17) at time *t*=0.
Gaussian beam
depth migration is accomplished by superposition of all Gaussian beams from all
surface point sources, seismograms, to obtain the earth reflectivity image.
The superposition of Gaussian beams
is justified by the linearity of the wave equation and the wave phenomenon.

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Stanford Exploration Project

11/17/1997