Abstract

Resolution within seismic imaging must be understood in all three dimensions to make quantitative approximations of subsurface geometries. Constructive interference of incident spherical waves within the first Fresnel zone will limit the resolution due to spatial aliasing. Motivated by the problem of estimating the influence of this effect on the volume uncertainty several interpretations of trapping faults, being equally probable within the first Fresnel zone, are perturbed and multiple realizations of a structural model constructed. After estimating the depth dependent mean frequency and velocity within a zone around the fault plane, the fault interpretations are stochastically perturbed. The frequency- and velocity-dependent perturbations of the dips are analytically derived based on geometric considerations. The anticipated maxima of the repositioned fault dips specify thresholds for deterministic definitions of high and low cases for the fault geometries in a framework. The structural models, resulting from repositioning the faults, show significant alterations of the hanging-wall and footwall horizon terminations due to the varying dips and repositioning of the interpretation. We have applied our to the structural and stratigraphic interpretation obtained for a prospect in the Gulf of Mexico. The spatial variations of the bounding faults result in a spread of volumetric outcomes when analyzing the gross rock volume of the compartment.

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