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Dynamic Rupture in a 3-D Particle-based Simulation of a Rough Planar Fault

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Computational Earthquake Physics: Simulations, Analysis and Infrastructure, Part I

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Abstract

An appreciation of the physical mechanisms which cause observed seismicity complexity is fundamental to the understanding of the temporal behaviour of faults and single slip events. Numerical simulation of fault slip can provide insights into fault processes by allowing exploration of parameter spaces which influence microscopic and macroscopic physics of processes which may lead towards an answer to those questions. Particle-based models such as the Lattice Solid Model have been used previously for the simulation of stick-slip dynamics of faults, although mainly in two dimensions. Recent increases in the power of computers and the ability to use the power of parallel computer systems have made it possible to extend particle-based fault simulations to three dimensions. In this paper a particlebased numerical model of a rough planar fault embedded between two elastic blocks in three dimensions is presented. A very simple friction law without any rate dependency and no spatial heterogeneity in the intrinsic coefficient of friction is used in the model. To simulate earthquake dynamics the model is sheared in a direction parallel to the fault plane with a constant velocity at the driving edges. Spontaneous slip occurs on the fault when the shear stress is large enough to overcome the frictional forces on the fault. Slip events with a wide range of event sizes are observed. Investigation of the temporal evolution and spatial distribution of slip during each event shows a high degree of variability between the events. In some of the larger events highly complex slip patterns are observed.

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References

  • Abe, S., Place, D., and Mora, P. (2004), A parallel implementation of the lattice solid model for the simulation of rock mechanics and earthquake dynamics. Pure Appl. Geophys. 161, (9/10).

    Article  Google Scholar 

  • Aki, K. and Richards P. G. Quantitative Seismology, Theory and Methods (Freeman and Company, San Francisco 1980).

    Google Scholar 

  • Ben-Menahem, A. and Singh, S. J., Seismic Waves and Sources, (Springer-Verlag, New York 1981).

    Google Scholar 

  • Ben-Zion, Y. (2001), On Quantification of the Earthquake Source, Seis. Res. Lett., 72, 151–152.

    Google Scholar 

  • Ben-Zion, Y. and Rice, J. R. (1993), Earthquake failure sequences along a Cellular Fault Zone in a Three-Dimensional elastic Solid Containing Asperity and Nonasperity Regions, J. Geophys. Res., 98, 14109–14131.

    Google Scholar 

  • Ben-Zion, Y. and Rice, J. R. (1995), Slip patterns and earthquake populations along different classes of faults in elastic solids, J. Geophys. Res. 100, 12959–12983.

    Article  Google Scholar 

  • Beroza, G. C. and Mikumo, T. (1996), Short slip duration in dynamic rupture in the presence of heterogeneous fault properties, J. Geophys. Res. 101B10, 22449–22460.

    Article  Google Scholar 

  • Cochard, A. and Madariaga, R. (1996). Complexity of seismicity due to highly rate dependent friction, J. Geophys. Res. 101B11, 25321–25336.

    Article  Google Scholar 

  • Cundall, P.A. and Strack, O.D.A. (1979), A discrete numerical model for granular assemblies, GeĂłotechnique, 29, 47–65.

    Google Scholar 

  • Das, S. and Aki, K. (1977), Fault plane with barriers: A versatile earthquake model, J. Geophys. Res. 82, 5658–5670.

    Article  Google Scholar 

  • Gross, S. (1996), Magnitude distribution and slip scaling of heterogeneous seismic source, Bull. Seismol. Soc. Am. 86, 498–504.

    Google Scholar 

  • Heimpel, M. H. (2003), Characteristic scales of earthquake rupture from numerical models, Nonlinear Processes in Geophys, 10, 573–584.

    Google Scholar 

  • King, G.C.P. (1978), Geological faults: fracture, creep and strain, Phil. Trans. R. Soc. Lond. A, 288, 197–212.

    Article  Google Scholar 

  • Latham, S., Abe, S., and Davies, M. (2004), Scaling evaluation of the lattice solid model on the SGI Altix 3700, HPCAsia2004, Proceed. 7th Internat. Conf. on High Performance Computing and Grid in the Asia Pacific Region, 226–233.

    Google Scholar 

  • Langer, J.S., Carlson, J. M., Myers, C.R. and Shaw, B. E. (1996), Slip Complexity in dynamic models of earthquake faults, Proc. Nat. Acad. Sci. USA, 93, 3825–3829.

    Article  Google Scholar 

  • Madariaga, R. and Cochard, A. (1996), Dynamic friction and the origin of the complexity of earthquake sources, Proc. Nat. Acad. Sci. USA, 93, 3819–3824.

    Article  Google Scholar 

  • Mora, P. and Place, D. (1994), Simulation of the stick-slip instability, Pure Appl. Geophys. 143, 61–87.

    Article  Google Scholar 

  • Mora, P. and Place, D. (1998), Numerical simulation of earthquake faults with gauge: towards a comprehensive explanation for the low Heat Flow, J. Geophys. Res. 103, 21067–21089.

    Article  Google Scholar 

  • Nielsen, S. B., Carlson, J. M. and Olsen, K. B. (2000), Influence of friction and fault geometry on earthquake rupture, J. Geophys. Res. 105,B3, 6069–6088.

    Article  Google Scholar 

  • Place, D. and Mora, P. (1999). The lattice solid model to simulate the physics of rocks and earthquakes: incorporation of friction, J. Comp. Physics, 150, 332–372.

    Article  Google Scholar 

  • Place, D and Mora, P. (2001). A random lattice solid model for simulation of fault zone dynamics and fracture processes. In Bifurcation and Localisation Theory for Soils and Rocks'99 (eds. H. B. MĂĽhlhaus, A. Dyskin and E Pasternak) (AA Balkema Rotterdam/Brookfield 2001).

    Google Scholar 

  • Power, W. L., Tullis, T. E. and Weeks, J. D. (1988), roughness and wear during brittle faulting, J. Geophys. Res. 93, 15268–15278.

    Google Scholar 

  • Power, W. L. and Tullis T. E. (1991), Euclidean and fractal models for the description of rock surface roughness, J. Geophys. Res. 96, 415–424.

    Google Scholar 

  • Rice, J. R. (1993), Spatio-temporal complexity on a fault, J. Geophys. Res. 98, 9885–9907.

    Google Scholar 

  • Rice, J. R. and Ben-Zion Y. (1996), Slip complexity in earthquake fault models, Proc. Nat. Acad. Sci. USA, 93, 3811–3818.

    Article  Google Scholar 

  • Weatherley, D. and Abe, S. (2004), Earthquake statistics in a block slider model and a fully dynamic fault model. Nonlinear Processes in Geophys., 11, 553–560.

    Google Scholar 

  • Zöller, G., Holschneider, M., and Ben-Zion, Y. (2005), The role of heterogeneities as a tuning parameter of earthquake dyanmics, Pure Appl. Geophys., 162, 1077–1111.

    Article  Google Scholar 

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© 2006 Birkhäauser Verlag

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Abe, S., Latham, S., Mora, P. (2006). Dynamic Rupture in a 3-D Particle-based Simulation of a Rough Planar Fault. In: Yin, Xc., Mora, P., Donnellan, A., Matsu’ura, M. (eds) Computational Earthquake Physics: Simulations, Analysis and Infrastructure, Part I. Pageoph Topical Volumes. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7992-6_10

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