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Obtaining the size distribution of fault gouges with polydisperse bearings.

Pedro G Lind1, Reza M Baram, Hans J Herrmann

  • 1Institute for Computational Physics, Universität Stuttgart, Pfaffenwaldring 27, Stuttgart, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 21, 2008
PubMed
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This study models random space-filling bearings with random offsets, accurately reproducing fault gouge size distributions. Polydisperse bearings and uniform offset distributions explain seismic gaps in nature.

Area of Science:

  • Geophysics
  • Material Science
  • Fracture Mechanics

Background:

  • Recent studies analyzed random space-filling bearings.
  • Real fault gouges exhibit specific size distributions.

Purpose of the Study:

  • Generalize space-filling bearing models to include random spacing offsets.
  • Investigate the role of polydisperse bearings in fault gouge formation and seismic gaps.
  • Determine the optimal distribution for modeling fault gouge size distributions.

Main Methods:

  • Developed a generalized model for random space-filling bearings with variable spacing offsets.
  • Analyzed the fractal dimensions of simulated polydisperse bearings.
  • Compared model outputs with observed size distributions in real fault gouges.

Related Experiment Videos

  • Evaluated the impact of different offset distributions (e.g., uniform) on size distribution reproduction.

    • Main Results:

    • The generalized model successfully reproduces observed size distributions of real fault gouges.
    • Fractal dimensions of random polydisperse bearings predominantly fall within the lower range of observed values.
    • A uniform distribution for spacing offsets best replicates fault gouge size distributions.

    Conclusions:

    • Polydisperse bearings with random offsets provide a realistic model for fault gouge formation.
    • The findings strengthen the hypothesis that polydisperse bearings contribute to seismic gap phenomena.
    • Uniform distribution is recommended for future modeling of fault gouge size distributions.