The reflection response of a seismic target is significantly affected
by a thinly layered overburden, which creates velocity anisotropy and
a transmission loss by scattering attenuation. These effects must be t
aken into account when imaging a target reflector and when inverting r
eflection coefficients. Describing scalar wave (i.e., acoustic wave or
SH-wave) propagation through a stack of thin layers by equivalent-med
ium theory provides a simple generalized O'Doherty-Anstey formula. Thi
s formulation is defined by a few statistical parameters that depend o
n the 1-D random fluctuations of the reflector overburden. The formula
has been combined with well-known target-oriented and amplitude-prese
rving migration/inversion algorithms and amplitude variation with offs
et (AVO) analysis procedures. The application of these combined proced
ures is demonstrated for SH-waves in an elastic thinly-layered medium.
These techniques offer a suitable tool to compensate for the thin-lay
er influence on traveltimes and amplitudes of seismic reflection data.
The thin-layer sensitive AVO parameters (zero-offset amplitude and AV
O gradient) of a target reflector can thus be better recovered.