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Stick-slip statistics for two fractal surfaces: a model for earthquakes

Author

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  • Chakrabarti, Bikas K
  • Stinchcombe, Robin B

Abstract

Following the observations of the self-similarity in various length scales in the roughness of the fractured solid surfaces, we propose here a new model for the earthquake. We demonstrate rigorously that the contact area distribution between two fractal surfaces follows a unique power law. This is then utilised to show that the elastic energy releases for slips between two rough fractal surfaces indeed follow a Guttenberg–Richter like power law.

Suggested Citation

  • Chakrabarti, Bikas K & Stinchcombe, Robin B, 1999. "Stick-slip statistics for two fractal surfaces: a model for earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 27-34.
    • Handle: RePEc:eee:phsmap:v:270:y:1999:i:1:p:27-34
    DOI: 10.1016/S0378-4371(99)00146-6
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    Cited by:

    1. Potirakis, Stelios M. & Zitis, Pavlos I. & Eftaxias, Konstantinos, 2013. "Dynamical analogy between economical crisis and earthquake dynamics within the nonextensive statistical mechanics framework," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(13), pages 2940-2954.
    2. Carpinteri, Alberto & Paggi, Marco, 2009. "A fractal interpretation of size-scale effects on strength, friction and fracture energy of faults," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 540-546.
    3. Minadakis, George & Potirakis, Stylianos M. & Nomicos, Constantinos & Eftaxias, Konstantinos, 2012. "Linking electromagnetic precursors with earthquake dynamics: An approach based on nonextensive fragment and self-affine asperity models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(6), pages 2232-2244.

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