F-K Migration for Multi-Offset Vertical Seismic Profiles
, by Robert W. Clayton and Mathew J. Yedlin
The Born approximation is adapted to the geometry of veritcal seismic
profiles, to provide a frequency-wavenumber migration scheme for the
reflected portion of the data. The method basically consists of three
steps. First, a three-dimensional Fourier transform of the observe
data is performed over time, shot location, geophone location. Second,
a two-dimensional stretch is applied to convert the data into a vertical-
horizontal wavenumber domain. Finally, a two -dimensional inverse Fourier
transform puts the migrated field back into the x-z domain. In the second
step, one of the dimensions of the data is redundant, and hence, it is
possible to stack along that direction.
STANFORD