The results obtained here and in particular (arearranged)
and (Pwavep) show in general terms
that the P-wave anisotropy parameter is smallest when the variation
in the layer
Lamé parameter is large, independent of the
variation in the shear modulus
. This result is therefore
important for applications to porous layers containing pore fluids
for which Gassmann's (1951)
equation shows that the
effects of fluids influence only the
Lamé constants,
not
.Thus, the P-wave anisotropy parameter may be a useful hydrocarbon
indicator in some situations.
This result cannot, however, be considered in isolation, as there may
be other effects that produce small P-wave anisotropies, and these should be
explored and enumerated before any definitive statement can be made.