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The first-anelliptic example in Figure
would have been more realistic if we had simply omitted
the depth scale entirely.
Mathematically this means rewriting
equation () explicitly in terms of vertical traveltime,
finding the first-anelliptic equivalent of equation ().
To do this,
replace Mz C by T(0)2,
S by x2,
and
Mx by ,obtaining the first-anelliptic processing-NMO equation:
| |
(25) |
The anellipticity parameter FW controls the deviation from
normal moveout; if the moveout is exactly hyperbolic.
Note that one should not try to define
using a measured value for Mx.
FW and are both vertical paraxial measurements;
there is no reason to suppose
they should be strictly related to Mx, a horizontal measurement.
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Stanford Exploration Project
11/17/1997