Abstract
Most AVO inversion algorithms are based on plane wave solutions whereas seismic surveys use point sources to generate spherical waves. The plane wave solution is an excellent approximation for spherical waves only when the angle of incidence is well below the critical angle. In the vicinity of the critical angle, however, deviation between plane wave and spherical wave responses is prominent. With the recent advances in seismic acquisition techniques where very long offset data is acquired, it may be important to develop AVO inversion based on spherical wave solution. Here we modify the Greedy Annealing Importance Sampling (GAIS) algorithm so that it uses an analytical approximation for spherical waves as a forward model instead of Fatti’s linearized approximation for plane waves. This algorithm is then applied to resolve Woodford formation in the Cana field, Oklahoma. The improvements are shown by comparing the results with those obtained by a deterministic inversion.
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