Size-Scale Effects on Strength,Friction and Fracture Energy of Faults: A Unified Interpretation According to Fractal Geometry |
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Authors: | A Carpinteri M Paggi |
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Institution: | (1) Department of Structural and Geotechnical Engineering, Politecnico di Torino, Torino, Italy |
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Abstract: | Summary. Experimental results clearly indicate that large faults involved in earthquakes possess low strength, low friction coefficient
and high fracture energy, in comparison with data obtained from small scale laboratory tests on rock samples. The reasons
for such an unexpected anomalous behaviour have been the subject of several studies in the past and are still under debate
in the Scientific Community. In this paper we propose a unifying interpretation of these size-scale effects on the basis of
fractal geometry, which represents the proper mathematical framework for the analysis of multi-scale properties of rough surfaces
in contact. A rather good agreement between the proposed scaling laws and the experimental data ranging from the laboratory
scale up to the planetary scale typical of natural faults is achieved.
Author’s address: Marco Paggi, Politecnico di Torino, Department of Structural and Geotechnical Engineering, C.so Duca degli
Abruzzi 24, 10129 Torino, Italy |
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Keywords: | : Faults friction size-scale effects fractals geomechanics contact mechanics |
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