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.