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| Moveout-based wave-equation migration velocity analysis | |
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This section illustrates how to calculate the sensitivity kernel of the image shift parameter
:
.
Since
maximizes the auxillary objective function,
for each z,x |
(7) |
we have
|
(8) |
To find the relation between
and
, we differentiate equation (8) with respect to
and
, which yields
|
(9) |
in which we can find
indicate the first and second derivatives in
(depth). Let
Then substituting the above two equations into eq. (9) leads to
|
(10) |
which is eq. (2).
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| Moveout-based wave-equation migration velocity analysis | |
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Next: Appendix-B
Up: Appendix-A
Previous: Appendix-A
2011-05-24