Scale and angle dependent reflection properties of self-similar interfaces

We propose an alternative parameterization of seismic reflectors in the sub surface, in terms of selfsimilar singularities, which are generalizations o f stepfunctions. This parameterization captures the multi-scale behavior of real sonic P-wave velocity logs, as can be derived by performing modulus m axima analysis on wavelet-transformed well-logs. Results on synthetic seism ic reflection data, modeled in real well-logs, show that a singularity para meter can be retrieved, that is consistent with the parameter derived direc tly from the well-log.