Abstract
Reflector-normal vectors and reflector-curvature parameters are the principal geometrical attributes used in seismic interpretation for characterizing the orientations and the shapes of geological reflecting surfaces. The input dataset for their computation consists of fine 3D grids of scalar fields representing either the seismic-driven reflectivities, or model-driven reflectivities, computed, for example, from the derived elastic impedance parameters. Conventionally, computation of curvature parameters at each grid point analyzes the existence potential of a local quadratic reflecting surface at the vicinity of that point. This assumption can break down for subsurface points in the vicinity of either complex reflecting surfaces and/or sharp/discontinuous geological features. We present a novel method that better characterizes the shapes of these complex geological features by extending the assumption of 2D local surfaces in 3D space into 3D local hypersurfaces in 4D spaces, with their corresponding principal curvature parameters. We demonstrate the advantages of our method using a synthetic model/image example, containing different types of geological features.
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