EXPERIMENTAL DISCOVERY OF SCALING LAWS RELATING FRACTAL DIMENSIONS AND THE LENGTH DISTRIBUTION EXPONENT OF FAULT SYSTEMS

被引:40
作者
DAVY, P
SORNETTE, A
SORNETTE, D
机构
[1] UNIV NICE SOPHIA ANTIPOLIS,INST GEODYNAM,CNRS,URA 1279,F-06034 NICE,FRANCE
[2] UNIV NICE SOPHIA ANTIPOLIS,PHYS MAT CONDENSEE,CNRS,URA 190,F-06034 NICE,FRANCE
关键词
D O I
10.1029/91GL02711
中图分类号
P [天文学、地球科学];
学科分类号
07 ;
摘要
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, we discover a remarkable scaling law relating the generalized fractal dimensions D(q), the fault barycenter fractal dimension 'b' and the exponent 'a' of the fault length distribution. : D0 almost-equal-to b is independent of 'a' whereas D(q) greater-than-or-equal-to 1 = b + 2-a, for 2 less-than-or-equal-to a less-than-or-equal-to 3 as found in our experiments.
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页码:361 / 363
页数:3
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