ABSTRACT: Fracture traces and seismic event location data were examined and numerical experiments performed to test whether scale-invariant fracture trace patterns can be represented by point patterns generated at discrete trace sites. Point pattern data censored in different ways were examined with respect to the effects on fractality. A sparse fractal point data set remains fractal, but the scale range of fractality decreases as sparseness increases. Thus, a seismic event location point pattern may not adequately represent the full scale over which the parent faults are fractal. An example of the inverse problem of determining the fractal nature of unknown fault traces from seismicity is given.

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