| Numéro |
J. Phys. I France
Volume 3, Numéro 3, March 1993
|
|
|---|---|---|
| Page(s) | 733 - 739 | |
| DOI | https://doi.org/10.1051/jp1:1993158 | |
DOI: 10.1051/jp1:1993158
J. Phys. I France 3 (1993) 733-739
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.
91.30P - 64.60A - 05.40
© Les Editions de Physique 1993
J. Phys. I France 3 (1993) 733-739
Fractal properties of the distribution of earthquake hypocenters
Hisao Nakanishi1, Muhammad Sahimi1, Michelle C. Robertson2, Charles C. Sammis2 and Mark D. Rintoul31 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)
Abstract
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
© Les Editions de Physique 1993