A model of scaling correspondence between fault and seismic fields

A model of scaling correspondence between fault and Seismic fields in the c rust based on a multiplicative cascade scheme is examined. The modeling pro cedure is fully discrete and can be easily implemented as a computer progra m. Analytical expressions describing the structures of some classes of mult inomial measures are derived. The model proposed provides a qualitative exp lanation of the currently known relations between fault and seismic statist ics and yields a realistic picture of the multiscale organization of a seis mogenic medium.