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A generalized prestack imaging condition (Sava and Fomel, 2005)
estimates image reflectivity using cross-correlation in space and time,
followed by image extraction at zero time:
Here,
is a vector describing the space-shift
between the source and receiver wavefields prior to imaging.
Special cases of this imaging condition
are horizontal space-shift (Rickett and Sava, 2002) and
vertical space-shift (Biondi and Symes, 2004).
For computational reasons,
this imaging condition is usually implemented in the
Fourier domain using the expression
![\begin{displaymath}
R \left ({ \bf m},{ \bf h}\right )= \sum_\omega
U_r \left...
...ga \right )
U_s^* \left ({ \bf m}-{ \bf h},\omega \right )\;.
\end{displaymath}](img22.png) |
(5) |
The
sign represents a complex conjugate
applied on the receiver wavefield
in the
Fourier domain.
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2007-04-08