We have developed a procedure for target-oriented linearized inversion
in the k-omega domain, exploiting the weak scatter hypothesis. The te
chnique is successfully demonstrated on the Mobil AVO data set, on a t
arget zone located at a depth of 2 km and centered on a well location.
The first step of the technique is the description and compensation o
f propagation effects through the overburden (datuming), which ideally
brings sources and receivers from the surface to the target level. Ou
r datuming code uses plane-wave transfer functions of the overburden,
computed by tracing Gaussian beams through the macro-model. The proces
s resembles an amplitude-consistent, prestack downward continuation, i
n laterally varying media. The macro-model of the overburden is obtain
ed from standard seismic processing using well data to constrain the v
elocity analysis. The second step is the linearized inversion of the t
arget. Operating within the linear approximation in the k-omega domain
, we gain the advantage of the simplicity of the theory. We are also c
apable of controlling the negative effects of acquisition geometry and
limited bandwidth on resolution. Ambiguities are carefully avoided by
inverting only well-conditioned components. We obtain an image of the
target that has tendencially minimum contributions of errors from lac
k of experimental resolution. This ''seismic'' image can be used as in
itial macro-model for interpretation, techniques of lateral continuati
on of well information, petrophysical and geostatistical analysis and
4-D surveys. The general agreement with well data is excellent for an
unusually long depth interval of 500m. This validates our global proce
dure including datuming and inversion.