To investigate the effects that attenuation and anisotropy have on ref
lection coefficients, we consider a homogeneous and viscoelastic wave
incident on an interface between two transversely isotropic and lossy
media with the symmetry axis perpendicular to the interface, Analysis
of PP and PS reflection coefficients shows that anisotropy should be t
aken into account in amplitude Variation with offset (AVO) studies inv
olving shales. Different anisotropic characteristics may reverse the r
eflection trend and substantially influence the position of the critic
al angle versus offset. The analysis of a shale-chalk interface indica
tes that when the critical distance is close to the near offsets, the
AVO response is substantially affected by the presence of dissipation.
In a second example, we compute reflection coefficients and synthetic
seismograms for a limestone/black shale interface with different rheo
logical properties of the underlying shale. This case shows reversal o
f the reflection trend with increasing offset and compensation between
the anisotropic and anelastic effects.