Mathematics – Logic
Scientific paper
Jul 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993georl..20.1499r&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 20, no. 14, p. 1499-1502.
Mathematics
Logic
6
Geological Faults, Magnetization, Rock Mechanics, Silicates, Deformation, Power Series, Remanence
Scientific paper
Using a two-dimensional construction for space-filling bearings (SFB) recently proposed by Herrmann et al. (1990), as an idealized description of the texture of gouge-like material, we study the effect of grain rotations in a shear band. The SFB model is by construction self-similar, and the disk-size distribution follows a power-law in good agreement with the observed particle-size distribution of natural gouges. The kinematics of the model is described by a single degree of freedom (i.e., each disk can only rotate, with no slip at the contact points). We investigate the isothermal remanent magnetization (IRM) reduction during such a cataclastic shearing. The problem can be solved analytically for this model. The magnetization loss, due to a disorientation of the grains can be shown to be a power law as a function of the shear. The exponent of the power law is simply related to the fractal dimension of the particle-size distribution in the gouge. This result may stimulate experimental investigations using IRM to gain new insight into the gouge texture and kinematics.
Hansen Angela
Herrmann Hans Jürgen
Roux Stephane
Vilotte Jean-Pierre
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