Advertisement

Earth, Planets and Space

, Volume 53, Issue 2, pp 91–100 | Cite as

One-dimensional dynamic simulations of slip complexity of earthquake faults

  • Jeen-Hwa Wang
  • Ruey-Der Hwang
Open Access
Article

Abstract

Slip complexity of earthquake faults is studied based on an N-degree-of-freedom dynamical spring-slider system in the presence of slip-law-type, velocity- and state-dependent friction. Simulation results based on such a friction law show that slip complexity depends on the inhomogeneous distribution of the breaking strengths (including its pattern and degree) along the fault and nonlinear velocity- and state-dependent friction. However, for the given model parameters the former is more important than the latter in controlling slip complexity. Frictional effects obviously appear only when the distribution of the breaking strengths is inhomogeneous. In addition, the stiffness ratio, defined as the ratio of the coil spring strength, Kc, to the leaf spring strength, Kl, is also a factor in controlling slip complexity.

Keywords

Breaking Strength Fractal Distribution Stiffness Ratio Fractal Function Earthquake Fault 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Beeler, N. M. and T. E. Tullis, Self-healing slip pulses in dynamic rupture models due to velocity-dependent strength, Bull. Seism. Soc. Am., 86, 1130–1148, 1996.Google Scholar
  2. Burridge, R. and L. Knopoff, Model and theoretical seismicity, Bull. Seism. Soc. Am., 57, 341–371, 1967.Google Scholar
  3. Carlson, J. M., Time intervals between characteristic earthquakes and correlation with smaller events: An analysis based on a mechanical model of fault, J. Geophys. Res., 96, 4255–4267, 1991.CrossRefGoogle Scholar
  4. Carlson, J. and J. S. Langer, Mechanical model of an earthquake fault, Phys. Rev. A, 40, 6470–6484, 1989.CrossRefGoogle Scholar
  5. Carlson, J. M., J. S. Langer, B. E. Shaw, and C. Tang, Intrinsic properties of a Burridge-Knopoff model of an earthquake fault, Phys. Rev. A, 44, 884–897, 1991.CrossRefGoogle Scholar
  6. Cochard, A. and R. Madariaga, Dynamic faulting under rate-dependent friction, Pure Appl. Geophys., 142, 419–445, 1994.CrossRefGoogle Scholar
  7. Cochard, A. and R. Madariaga, Complexity of seismicity due to highly rate-dependent friction, J. Geophys. Res., 101, 25,321–25,336, 1996.CrossRefGoogle Scholar
  8. Das, S. and K. Aki, Fault planes with barriers: a versatile earthquake model, J. Geophys. Res., 82, 5658–5670, 1977.CrossRefGoogle Scholar
  9. Dieterich, J. H., Modeling of rock friction 1. Experimental results and constitutive equations, J. Geophys. Res., 84, 2161–2168, 1979.CrossRefGoogle Scholar
  10. Kanamori, H., Mechanics of Earthquake, Annu. Rev. Earth Planet. Sci., 22, 207–237, 1994.CrossRefGoogle Scholar
  11. Kanamori, H. and G. Stewart, Seismological aspects of the Guatemala earthquake of February 4, 1976, J. Geophys. Res., 83, 3427–3434, 1978.CrossRefGoogle Scholar
  12. Knopoff, L., The organization of seismicity on fault networks, Proc. Natl. Acad. Sci., USA, 93, 3830–3837, 1996.CrossRefGoogle Scholar
  13. Marone, C., Laboratory-derived friction laws and their application to seismic faulting, Annu. Rev. Earth Planet. Sci., 26, 643–696, 1998.CrossRefGoogle Scholar
  14. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes, 818 pp., Cambridge Univ. Press, Cambridge, 1986.Google Scholar
  15. Rice, J. R., Fault stress states, pore pressure distributions, and the weakness of the San Andreas Fault, in Fault Mechanics and Transport Properties of Rocks, pp. 475–503, Academic Press, 1992.CrossRefGoogle Scholar
  16. Rice, J. R., Spatio-temporal complexity of slip on a fault, J. Geophys. Res., 98, 9885–9907, 1993.CrossRefGoogle Scholar
  17. Ruina, A. L., Slip instability and state variable friction laws, J. Geophys. Res., 88, 10,359–10,370, 1983.CrossRefGoogle Scholar
  18. Saupe, D., Algorithms for random fractals, Chapter 2, in The Science of Fractal Images, edited by H. O. Peitgen and D. Saupe, pp. 71–136, Springer Verlag, New York, 1988.CrossRefGoogle Scholar
  19. Scholz, C. H., The Mechanics of Earthquakes and Faulting, 439 pp., Cambridge Univ. Press, Cambridge, 1990.Google Scholar
  20. Shaw, B. E., Complexity in a spatially uniform continuum fault model, Geophys. Res. Lett., 21, 1983–1986, 1994.CrossRefGoogle Scholar
  21. Wang, J. H., Effect of seismic coupling on the scaling of seismicity, Geophys. J. Int., 121, 475–488, 1995.CrossRefGoogle Scholar

Copyright information

© The Society of Geomagnetism and Earth, Planetary and Space Sciences (SGEPSS); The Seismological Society of Japan; The Volcanological Society of Japan; The Geodetic Society of Japan; The Japanese Society for Planetary Sciences. 2001

Authors and Affiliations

  1. 1.Institute of Earth SciencesAcademia SinicaNankangTaiwan

Personalised recommendations