The presence of anisotropy requires that tomographic methods be genera
lized to account for anisotropy. This generalization allows geological
structure to be correctly imaged and allows the anisotropic parameter
s to be estimated. Use of isotropic inversion for imaging anisotropic
structures gives systematic trends in the traveltime and polarization
residuals. However, due to the limited directional coverage, the trave
ltimes alone may not be sufficient to study the anisotropic properties
of the structure. Polarizations can provide independent information o
n the structure. Traveltime and polarization inversion are applied to
synthetic examples simulating VSP experiments. Transverse isotropy and
1-D structure are assumed. Plots of traveltime and polarization resid
uals are an important tool to detect the anomalies due to the presence
of anisotropy. For receivers located in anisotropic layers, polarizat
ion residuals display consistent anomalies of several degrees. The syn
thetic examples show that even the simple 1-D problem is difficult, wh
en using direct arrivals only. Large a posteriori errors in anisotropi
c parameters are obtained by traveltime inversion in layers where avai
lable incidence angles are less than 45 degrees. Resolution of the tom
ographic image of VSP data is greatly improved by a combination of tra
veltime and polarization information. In order to obtain accurate inve
rsion results, the measurement error of polarization data should be ke
pt to within a few degrees.