J. Phys. I France 3 (1993) 733-739
Fractal properties of the distribution of earthquake hypocentersHisao Nakanishi1, Muhammad Sahimi1, Michelle C. Robertson2, Charles C. Sammis2 and Mark D. Rintoul3
1 HLRZ, KFA-Jülich, Postfach 1913, W-5170 Jüllich. Germany
2 Department of Geological Sciences, University of Southern California, Los Angeles, CA 90089, U.S.A.
3 Department of Physics, Purdue University, W. Lafayette, IN 47907 U.S.A.
(Received 29 October 1992, accepted 12 November 1992)
We investigate a recent suggestion that the spatial distribution of earthquake hypocenters makes a fractal set with a structure and fractal dimensionality close to those of the backbone of critical percolation clusters, by analyzing four different sets of data for the hypocenter distributions and calculating the dynamical properties of the geometrical distribution such as the spectral dimension ds We find that the value of ds is consistent with that of the backbone, thus supporting further the identification of the hypocenter distribution as having the structure of the percolation backbone.
91.30P - 64.60A - 05.40
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