Mathematics – Logic
Scientific paper
Feb 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992georl..19..361d&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 19, Feb. 21, 1992, p. 361-363. Research supported by CNRS.
Mathematics
Logic
16
Fractals, Geological Faults, Lithosphere, Scaling Laws, Asia, Exponents, India, Planetary Composition, Tectonics
Scientific paper
A series of experiments scaled for gravity on the formation of faults in a laboratory model of the earth's lithosphere have shown that the obtained fault patterns are self-similar and can be characterized by various fractal dimensions. By analyzing a large set of experimental results, a remarkable scaling law relating the generalized fractal dimensions Dq, the fault barycenter fractal dimension b and the exponent a of the fault length distribution was discovered, namely D0 = b is independent of a whereas D sub q not less than 1 = b + 2-a, for a = 2-3 as found in our experiments.
Davy Philippe
Sornette Anne
Sornette Didier
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