We present a model for polarized seismic waves where the data are coll
ected by three-component geophone receivers. The model is based on two
parameters describing the polarization properties of the waveforms. T
hese parameters are the ellipticity and the orientation angle of the p
olarization ellipse. The model describes longitudinal waveforms (P-wav
es) as well as elliptically polarized waves. For the latter waves the
direction-of-propagation of the waveform is in the plane spanned by th
e ellipse's major and minor axes; Rayleigh waves are treated as a spec
ial case. We analyze the identifiability of the models and derive the
Cramer-Rao and mean-square-angular-error (MSAE) bounds involving one o
r two three-component geophones.