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The difference between stacking as defined by
nmo0() and by
nmo1()
is in the weighting function .This weight made a big difference in the resolution of the stacks
but I cannot explain
whether this weighting function is the best possible one,
or what systematic procedure
leads to the best weighting function in general.
To understand this better,
notice that can be factored into two weights, and t-3/2.
One weight could be applied before NMO and the other after.
That would also be more efficient than weighting inside NMO,
as does nmo1().
Additionally, it is likely that
these weighting functions should take into account
data truncation at the cable's end.
Stacking is the most important operator in seismology.
Perhaps some objective measure of quality can be defined
and arbitrary powers of t, x, and can be adjusted until the optimum stack is defined.
Likewise, we should consider weighting functions in the spectral domain.
As the weights and t-3/2
tend to cancel one another,
perhaps we should filter with opposing filters
before and after NMO and stack.
Next: Gulf of Mexico stack
Up: COMMON-MIDPOINT STACKING
Previous: Crossing traveltime curves
Stanford Exploration Project
12/26/2000