We have presented a simple inequality which can be used to determine
whether operator aliasing is a factor in Kirchhoff migration. The same
criteria can be used for DMO, velocity analysis, wave-equation datuming
or any other integral operator which is applied to seismic data.
The salt dome example illustrates that sometimes some portions of a data set
may be sampled adequately, so that operator aliasing is not a problem.
If these are the regions of interest, computational effort
and time can be reduced by not undertaking the added expense
of anti-alising.