Sedimentary rocks are usually anisotropic because of fine scale layering an
d the preferred orientation of nonspherical grains and anisotropic minerals
. In order to extend seismic processing to anisotropic media, an anisotropi
c velocity model is required. For transversely isotropic media with a verti
cal axis of symmetry, Alkhalifah and Tsvankin (1995) have shown that a sing
le anisotropy parameter eta together with the small-offset normal moveout (
NMO) velocity for PP-reflections is sufficient to perform all time-related
processing of P-wave data. Although P-waves form the basis of most commerci
al seismic surveys, shear waves provide unique information concerning subsu
rface lithology and pore fill. Recent developments allow multi-component se
ismic data to be acquired at the seafloor. By using measurements of the sma
ll-offset travel-times of PP and PSV reflections to determine the parameter
s of ANNIE, a simple three-parameter model proposed by Schoenberg et al. (1
996) for shales, reliable estimates of eta can be made in the absence of an
y depth or vertical velocity information. The long-offset (non-hyperbolic)
traveltime moveout of both PP and PSV reflections from a horizontal reflect
or in a laterally homogeneous medium is accurately predicted by this approa
ch, despite the fact that only small-offset data is used in the analysis. T
hus the wide-offset moveout curves for both PP and PSV reflections from a h
orizontal reflector in a laterally homogeneous medium can be adequately des
cribed using only the small-offset travel-times of PP and PSV reflections.