Abstract
Recent simulations using the particle dynamics method (PDM) have successfully captured many features of natural faults zones as illuminated in laboratory studies. However, 2-D simulations conducted on idealized assemblages of particles using simple elastic-frictional contact laws, yield friction values considerably lower than natural materials, and lack time- and velocity-dependent changes in strength that influence dynamic fault slip. Here, preliminary results of new PDM simulations are described, in which particle motions are restricted as a proxy for particle interlocking and out of plane contacts, and time-dependent contact healing is introduced to capture temporal strengthening of granular assemblages. Frictional strength is increased, and in the absence of interparticle rolling, can attain values observed in the laboratory. The resulting mechanical behavior is qualitatively similar to that described by empirically-based rate-state friction laws, providing new physical insight into the discrete mechanics of natural faults.
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References
Abe,S., Dieterich, J., Mora, P. and Place D. (2002), Simulation of the Influence of Rate-and State-Dependent Friction on the Macroscopic Behaviour of Complex Fault Zones with the Lattice Solid Model, Pure Appl. Geophys. 159, 1967–1983.
Aharonov, E. and Sparks,D. (1999), Rigidity Phase Transition in Granular Packings, Phys. Rev. E 60, 6890–6896.
Allen,M.P. and Tildesley, D.J., Computer Simulations of Liquids (Clarendon Press, Oxford 1987).
An,L-J. and Sammis, C.G. (1994), Particle Size Distribution of Cataclastic Fault Materials from Southern California: A 3-D Study, Pure Appl. Geophys. 143, 203–227.
Beeler,N.M., Tullis,T. E.and Weeks,J. D. (1994), The Roles of Time and Displacement in Evolution Effect in Rock Friction, Geophys. Res. Lett. 21, 1987–1990.
Beeler,N.M., Tullis,T.E. and Weeks, J.D. (1996), Frictional Behavior of Large Displacement Experimental Faults, J. Geophys. Res. 101, 8697–8715.
Biegel, R.L., Sammis, C.S.and Dieterich,J.H. (1989), The Frictional Properties of a Simulated Gouge Having a Fractal Particle Distribution, J. Struct. Geol. 11, 827–846.
Cundall,P.A. and Strack,O.D.L. (1979), A Discrete Numerical Model for Granular Assemblies, Géotechnique29, 47–65.
Cundall, P.A., Distinct Element Models of Rock and Soil Structure. In Analytical and Computationl Methods in Engineering Rock Mechanics (ed. Brown, E.T.) (Allen & Unwin, London, 1987) pp. 129–163.
Cundall, P.A., Computer Simulations of Dense Sphere Assemblies. In Micromechanics of Granular Materials (eds. Satake, M. and Jenkins, J.T.) (Elsevier Science Publishers, New York, 1988) pp. 343–352.
Dieterich,J.H. (1972), Time-dependent Friction in Rocks, J. Geophys. Res. 77, 3690–3697.
Dieterich, J.H. (1979), Modeling of Rock Friction: 1. Experimental Results and Constitutive Equations,J. Geophys. Res. 84, 2161–2168.
Dieterich,J.H. and Kilgor, B.D. (1994), Direct Observation of Frictional Contacts; New Insights for State-dependent Properties, Pure Appl. Geophys. 143, 283–302.
Frye,F.M. and Marone,C. (2002a), The Effect of Particle Dimensionality on Granular Friction in Laboratory Shear Zones, Geophys. Res. Lett. 29, doi:10.01029/2002GL015709
Frye,K. M. and Marone,C. (2002b) The Effect of Humidity on Granular Friction at Room Temperature, J. Geophys. Res. 107,doi:10.1029/2001JP000654
Johnsonk,L. Contact Mechanics (Cambridge University Press, Cambridge, 1985).
Karners, L. and Marone,C. (1998), The Effect of Shear Load on Frictional Healing in Simulated Fault Gouge, Geophys. Res. Lett. 25, 4561–4564.
Lin,X. and Ng, T.-T. (1997), A Three-dimensional Discrete Element Model Using Arrays of Ellipsoids, Geotechnique 47, 319–329.
Logain,J.M., Dengq, C.A., Higgs, N.G. and Wang, Z.Z.Fabrics of Experimental Fault Zones: Their Development and Relationship to Mechanical Behavior. In Fault Mechanics and Transport Properties in Rocks (eds. Evans,B.and Wong, T.-F.) (Academic Press, London 1992) pp. 33–67.
Maii, K., Frye, K. M. and Marone,C. (2002), Influence of Grain Characteristics on the Friction of Granular Shear Zones, J. Geophys. Res. 107, 2219,doi:10.1029/2001JB000516.
Marone,C. (1998a), The Effect of Loading Rate on Static Friction and the Rate of Fault Healing during the Earthquake Cycle, Nature 391, 69–72.
Marone, C. (1998b), Laboratory-derived Friction Constitutive Laws and their Application to Seismic Faulting, Ann. Rev. Earth Planet. Sci. 26, 643–696.
Marone,C., Raleigh, C. B. and Scholzc, H.(1990),Frictional Behavior and Constitutive Modeling of Simulated Fault Gouge, J. Geophys. Res. 95, 7007–7025.
Marone,C. and Scholz, C. H. (1989), Particle Size Distribution and Microstructure within Simulated Fault Gouge, J. Struct. Geol. 11, 799–814.
Mora,P., Place, D., Abe, S. and Jaunie, S. (2000), Lattice Solid Simulation of the Physics of Earthquakes:The Model, Results and Directions. In GeoComplexity and the Physics of Earthquakes (Geophysical Monograph series; no. 120), (eds. Rundle, J.B., Turcotte, D.L. and Klein, W.) (Am. Geophys. Union, Washington, DC), pp. 105–125.
Mora,P. and Place, D. (1993), A Lattice Solid Model for the Nonlinear Dynamics of Earthquakes, Intl. J. of Modern Physics C 4, 1059–1074.
Mora, P. and Place,D. (1994), Simulation of the Frictional Stick-slip InstabilityJ. Pure Appl. Geophys. 143, 61–87.
Mora,P. and Place, D. (1998), Numerical Simulation of Earthquake Faults with Gouge: Toward a Comprehensive Explanation for the Heat Flow Paradox J. Geophys. Res. 103, 21067–21089.
Morgan, J.K. (1998), The Micromechanics of Localization and Dilation in Granular Shear Zones Revealed by Distinct Element Simulations, EOS Trans. AGU, Spring Meeting Suppl. 79, 222.
Morgan,J.K. (1999), Numerical Simulations of Granular Shear Zones Using the Distinct Element Method: I Shear Zone Kinematics and the Micromechanics of Localization, J. Geophys. Res. 104, 2703–2719.
Morgan, J.K. and Boettcher, M.S. (1999), Numerical Simulations of Granular Shear Zones Using the Distinct Element Method: II Effects of Particle Size Distribution and Interparticle Friction on Mechanical Behavior, J. Geophys. Res. 104, 2721–2732.
Nasuno,S., Kudroli,I.A.and Gollub,J.P. (1997), Time-resolved Studies of Stick-slip Friction in Sheared Granular Layers, Phys. Rev. Lett. 85, 1428–1431.
Place, D., Lombar,DF., Mom, P. and Abe, S. (2002), Simulation of the Microphysics of Rocks Using LSMearth, Pure Appl. Geophys. 159, 1911–1932.
Place, D. and Mora, P. (2000), Numerical Simulation of Localisation Phenomena in a Fault Zone, Pure Appl. Geophys. 157, 1821–1845.
Rothenbur,GL. and Bathurstr, J. (1992), Micromechanical Features of Granular Assemblies with Planar Elliptical Particles, Geotechnique 39, 601–614.
Sammis, C.G., King, G., and Biege, R. (1987), The Kinematics of Gouge Deformation, Pure Appl. Geophys. 125, 777–812.
Sammis,C.G. and Steacys,J. (1994), The Micromechanics of Friction in a Granular Layer, Pure Appl. Geophys. 142, 777–794.
Scholzc,H., The Mechanics of Earthquakes and Faulting (Cambridge Univ. Press, New York, 1990).
ScottD. R. 1996 Seismicity and Stress Rotation in a Granular Model of the Brittle Crust Nature 381, 592–595.
Sparks,D. and Aharono,VE., Anatomy of a Slip event in an Idealized Fault Gouge. In 2nd ACES Workshop Proc. (eds. Matsu’ura, M., Nakajima, K.and Mora, P.) (APEC Cooperation for Earthquake Simulation, Brisbane, Australia, 2001) pp. 77–82.
Tinq,J.M., Khwaja, M., Meachum,L. and Rowel,J. (1993), An Ellipse-based Discrete Element Model for Granular Materials, Int. J. Numer and Anal. Meth. in Geomech. 17, 603–623.
Waltono,R. Force Models for Particle-dynamics Simulations of Granular Materials. In Mobil Particulate System (eds. Guazzelli, E and Oger, L.) (Kluwer Academic Publishers, Dordrecht, 1995) pp. 366–378.
Walton,O.R. and Brauft,R.L. (1986), Viscosity, Granular-temperature, and Stress Calculations for Shearing Assemblies of Inelastic, Frictional Disks J. Rheol. 30, 949–980.
Williams,J.R. and Pentlanp, A.P. (1991), Superquadrics and Model Dynamics for Discrete Elements in Concurrent Design, Technical Report Order No. IESL91–12, Intelligent Engineering Systems Laboratory, Massachusetts Institute of Technology.
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Morgan, J.K. (2004). Particle Dynamics Simulations of Rate- and State-dependent Frictional Sliding of Granular Fault Gouge. In: Donnellan, A., Mora, P., Matsu’ura, M., Yin, Xc. (eds) Computational Earthquake Science Part I. Pageoph Topical Volumes. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7873-9_5
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DOI: https://doi.org/10.1007/978-3-0348-7873-9_5
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