Abstract
The presence of impurities between two surfaces may greatly affect their frictional properties. In this article, we investigate the role of the impurities by studying experimental and numerical models of geophysical interest. Both model and experiments are considered to be representative of the dynamics of an earthquake fault and both systems reliably produce salient traits of earthquake dynamics such as stick-slip intermittent dynamics and power-law event distributions. The impurities are granular particles enclosed in the fault, known as fault gouge. We consider the role of the granular particles in the statistics of the slip events, and in the production of acoustic emissions.
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Wornyoh, E.Y.A., Jasti, V.K., Higgs, C.F. III: A review of dry particulate lubrication: powder and granular materials. J. Tribol. 129, 438–449 (2007)
Scholz, C.H.: Earthquakes and friction laws. Nature. 391, 37–42 (1998)
Marone, C.: Laboratory-derived friction laws and their application to seismic faulting. Annu. Rev. Earth Planet. Sci. 26, 643–696 (1998)
Ben-David, O., Cohen, G., Fineberg, J.: The dynamics of the onset of frictional slip. Science 330, 211–214 (2010)
Tillemans, H.-J., Herrmann, H.J.: Simulating deformations of granular solids under shear. Physica A 217, 261–288 (1995)
Aharonov, E., Sparks, D.: Rigidity phase transition in granular packings. Phys. Rev. E 60, 6890–6896 (1999)
Aharonov, E., Sparks, D.: Stick-slip motion in simulated granular layers. J. Geophys. Res. 109, B09306 (2004)
Ciamarra, M.P.., Lippiello, E., Godano, C., de Arcangelis, L.: Unjamming dynamics: the micromechanics of a seismic fault model. Phys. Rev. Lett.104, 238001 (2010)
Ciamarra, M.P., Lippiello, E., de Arcangelis, L., Godano, C.: Statistics of slipping event sizes in granular seismic fault models. EPL 95, (2011)
Gutenberg, B., Richter, C.F.: Frequency of earthquakes in California. Bull. Seismol. Soc. Am. 34, 185 (1944)
Silbert, L.E., Ertas, D., Grest, G.S., Halsey, T.C., Levine, D., Plimpton, S.J.: Granular flow down an inclined plane: Bagnold scaling and rheology. Phys. Rev. E 64, 051302/1–051302/12 (2001)
Kun, F., Herrmann, H.J.: Transition from damage to fragmentation in collision of solids. Phys. Rev. E 59(3), 2623–2632 (1999)
Sammis, C.G., King, G., Biegel, R.: The kinematics of gouge deformation. Pure Appl. Geophys. 125, 777–812 (1987)
Sammis, C.G., Biegel, R.L.: Fractals, fault-gouge and friction. Pure Appl. Geophys. 131, 255–271 (1989)
Biegel, R.L., Sammis, C.G., Dieterich, J.H.: The frictional properties of a simulated gouge having a fractal particle distribution. J. Struct. Geol. 11, 827–846 (1989)
Roux, S., Hansen, A., Herrmann, H.J., Vilotte, J.P.: A model for gouge deformation: implications for remanent magnetization. Geophys. Res. Lett. 20, 1499–1502 (1993)
Goren, L., Aharonov, E., Sparks, D., Toussaint, R.: Pore pressure evolution in deforming granular material: a general formulation and the infinitely stiff approximation. J. Geophys. Res. 115, B09216 (2010)
Kanamori, H., Anderson, D.: Theoretical basis of some empirical relations in seismology. Bull. Seismol. Soc. Am. 65, 1073 (1975)
Baldassarri, A., Dalton, F., Petri, A., Zapperi, S., Pontuale, G., Pietronero, L.: Brownian forces in sheared granular matter. Phys. Rev. Lett. 96, 118002 (2006)
Petri, A., Baldassarri, A., Dalton, F., Pontuale, G., Pietronero, L., Zapperi, S.: Stochastic dynamics of a sheared granular medium. Eur. Phys. J. B. 64, 531 (2008)
Hatano, T., Narteau, C., Shebalin, P.: Common dependence on stress for the statistics of granular avalanches and earthquakes, arXiv:1110.1777v1 [cond-mat.stat-mech] 8 Oct (2011)
Burridge, R., Knopoff, L.: Model and theoretical seismicity. Bull. Seismol. Soc. Am. 57, 341 (1967)
Carlson, J.M., Langer, J.S., Shaw, B.E.: Dynamics of earthquake faults. Rev. Mod. Phys. 66, 657–670 (1994)
Bak, P., Tang, C., Wiesenfeld, K.: Self-organized criticality: an explanation of 1/f noise. Phys. Rev. Lett. 59, 381 (1987)
Olami, Z., Feder, H.J.S., Christensen, K.: Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes. Phys. Rev. Lett. 68, 1244 (1992)
Fisher, D.S.: Collective transport in random media: from superconductors to earthquakes, Physics Reports 301, 113 (1998), and refs therein
Tanguy, A., Gounelle, M., Roux, S.: From individual to collective pinning: effect of long-range elastic interactions. Phys. Rev. E. 58, 1577 (1998)
F. Colaiori.: Exactly solvable model of avalanches dynamics for Barkhausen crackling noise. Adv. Phys. 57, 287 (2008)
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This research was conducted with financial support from FIRB grant RBFR081IUK and EU NEST/Pathfinder project TRIGS, Contract no. 043386.
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Ciamarra, M.P., Dalton, F., de Arcangelis, L. et al. The Role of Interstitial Impurities in the Frictional Instability of Seismic Fault Models. Tribol Lett 48, 89–94 (2012). https://doi.org/10.1007/s11249-012-9954-3
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DOI: https://doi.org/10.1007/s11249-012-9954-3