Hypersurface curvatures of geological features

SUMMARY Reflector-normal angles and reflector-curvature parameters are the principal geometric attributes used in seismic interpretation for characterizing orientations shapes, respectively, of geological reflecting surfaces. Commonly, input data set their computation consists fine 3-D grids scalar fields representing either seismic-driven reflectivities (e.g. amplitudes migrated volumes) or model-driven reflectivities, computed, example, from derived elastic impedance parameters. Conventionally, curvature at each gridpoint is based on analysing local change inline/crossline dips, considering potential existence a quadratic surface vicinity that point. This assumption breaks down subsurface points complex surfaces brittle/rough/tilted synclines/anticlines, ridges/troughs saddles) and/or sharp, discontinuous features fault edges/tips, pinch-outs, fracture systems, channels small geobodies), where values computed become extremely high. However, while these high can indicate non-reflecting objects, they do not deliver specific characteristics. In this study, we present novel method better characterizes shapes by extending (2-D space) into hypersurfaces (3-D 4-D space), with corresponding (three rather than two) (and effective) We demonstrate advantages our comparing conventional dip-based hypersurface parameters, using synthetic model/image different types image real containing hidden buried channels.