Abstract
Azimuthal AVO analysis can be split into two parts: the Amplitude Versus Offset (AVO) analysis and the Amplitude Versus Azimuth (AVAz) analysis. The properties of the Fourier transform allow these problems to be treated separately. If we calculate a Fourier transform of AVAz PP reflectivity data at a particular angle of incidence, we obtain Fourier Coefficients (FC) that parsimoniously describe the AVAz and anisotropy, similar to the near offset Ruger equation. It is possible to attach physical significance to each of the FC using simple rock physics models that relate the anisotropy to the fractures. The different FC may be combined in a non-linear fashion to estimate fundamental fracture parameters including fracture intensity and orientation. Moreover azimuthal elastic inversion by FC can remove some limitation by reflectivity-based fracture characterization, which provides layer properties that are easier to interpret and relate more directly to the geology.
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