Physics – Geophysics
Scientific paper
Feb 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007georl..3404312s&link_type=abstract
Geophysical Research Letters, Volume 34, Issue 4, CiteID L04312
Physics
Geophysics
8
Nonlinear Geophysics: Scaling: Spatial And Temporal (1872, 3270, 4277), Nonlinear Geophysics: Self-Organized Criticality, Seismology: Paleoseismology (8036), Structural Geology: Dynamics And Mechanics Of Faulting (8118), Structural Geology: High Strain Deformation Zones
Scientific paper
A nearest neighbor fragmentation model, previously developed to explain observations of power law particle distributions in 3D with mass dimension D 3 ~ 2.6 (D 2 ~ 2.6 in 2D section) in low-strain fault gouge and breccia, is extended to the case of large strains to explain recent observations of D 3 ~ 3.0 (D 2 ~ 2.0 in 2D section) in the highly strained cores of many exhumed fault zones. At low strains, the elimination of same-sized nearest neighbors has been shown to produce a power law distribution which is characterized by a mass dimension near D 3 ~ 2.6. With increasing shear strain these isolated same-size neighbors can collide, in which case one of them fractures. The probability of two same size neighbors colliding and fragmenting in a simple shear flow is a function of the size and density of the two particles. Only for a power law distribution with D 3 = 3.0 is this collision probability independent of the size of the particles.
P. King Geoffrey C.
Sammis Charles G.
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