A convolutional sequence of matrix operators is offered as a convenien
t deterministic scheme for processing a multicomponent vertical seismi
c profile (VSP). This sequence is applied to a nine-component near-off
set VSP recorded at the Conoco borehole test facility, Kay County, Okl
ahoma. These data are corrected for tool spin and near-surface anisotr
opy together with source coupling or imbalance. After wave-field separ
ation using a standard f-k filter, each source and receiver pair for t
he upgoing waves is adjusted to a common reference depth using a matri
x operator based on the downgoing wavefield. The up- and downgoing wav
es are then processed for anisotropy by a similarity transformation, t
o separate the qS1 and qS2 waves, from which the anisotropic propertie
s are estimated. These estimates reveal a strong (apparent) vertical b
irefringence in the near-surface, but weak or moderate values for the
majority of the subsurface. The target zone consists of a thin sandsto
ne and deeper shale layer, both of which possess a strong vertical bir
efringence. The sandstone corresponds to a zone of known fluid flow. A
n observed qS2 attenuation and polarization change in the shale sugges
t it contains large fractures.