  The frequency content of seismic data is changing with propagation depth due
to intrinsic absorption. This implies that the higher frequencies are highly
attenuated, thus leading to a loss in resolution of the seismic image. In
addition, absorption anomalies, for example, caused by gas sands, will further
dim the seismic reconstruction. It is possible to correct for such absorption
effects by employing so called inverse Q filtering (IQF). This is a filtering
technique that tries to restore the loss of the higher frequencies due to
propagation. Newer developments within IQF can be regarded as a migration type
of algorithm, and such classes of techniques are studied in this paper. As
seismic waves travel through the earth, the visco-elasticity of the earth's
medium will cause energy dissipation and waveform distortion. This phenomenon
is referred to as seismic absorption. In explaining the propagation of seismic
wave in a given medium we explore the relationship between the pressure and
displacement stresses. Therefore, by introducing an absorption function into
the stress and strain relationship we derived a non-linear wave equation. We,
then, employed a layered earth model to solve the non-linear wave equation.
