JDR Vol.4 No.2 pp. 106-110
doi: 10.20965/jdr.2009.p0106


Conditions for Consecutive Rupture of Adjacent Asperities

Naoyuki Kato

Earthquake Research Institute, University of Tokyo, 1-1-1 Yayoi, Bunkyo-ku, Tokyo 113-0032, Japan

December 11, 2008
January 20, 2009
April 1, 2009
friction, asperity, simulation, aseismic sliding

Numerical simulation of earthquake cycles is carried out using a three-dimensional infinite uniform elastic model with a planar fault in which frictional stress obeys a rate- and state-dependent law. Two circular asperities with velocity-weakening frictional properties are embedded in a model fault plane, and velocity-strengthening friction is assumed in remaining regions. Different values of the characteristic slip distance L are given to the two asperities so that seismic rupture nucleated at the asperity with smaller L may be arrested at the asperity with larger L. Seismic rupture is arrested in the large L asperity for high contrast in L when shear stress at the large L asperity is low. The condition for rupture arrest is examined using a phase plane plot of frictional stress and slip velocity to show that varying effective stiffness of an asperity is important for consecutive rupture. Effective stiffness of an asperity decreases during an interseismic period due to inward propagation of aseismic sliding.

Cite this article as:
Naoyuki Kato, “Conditions for Consecutive Rupture of Adjacent Asperities,” J. Disaster Res., Vol.4, No.2, pp. 106-110, 2009.
Data files:
  1. [1] H. Kanamori and K. C. McNally, “Variable rupture mode of the subdcution zone along the Equador-Colombia coast,” Bull Seismol. Soc. Am., Vol.72, pp. 1241-1253, 1982.
  2. [2] T. Lay, H. Kanamori, and L. Ruff, “The asperity model and the nature of large subduction zone earthquakes,” Earthquake Prediction Res., Vol.1, pp. 3-71, 1982.
  3. [3] T. Matsuzawa, T. Igarashi, and A. Hasegawa, “Characteristic small-earthquake sequence off Sanriku, northeastern Honshu, Japan,” Geophys. Res. Lett., Vol.29, p.1543, doi: 10.1029/2001GL014632, 2002.
  4. [4] Y. Yamanaka and M. Kikuchi, “Asperity map along the subduction zone in northeastern Japan inferred from regional seismic data,” J. Geophys. Res., Vol.109, B07307, doi:10.1029/2003JB002683, 2004.
  5. [5] T. Nishimura, T. Hirasawa, S. Miyazaki, T. Sagiya, T. Tada, S. Miura, and K. Tanaka, “Temporal change of interplate coupling in northeastern Japan during 1995-2002 estimated from continuous GPS observations,” Geophys. J. Int., Vol.157, pp. 901-916, 2004.
  6. [6] Miyazaki, S., P. Segall, J. Fukuda, and T. Kato, “Space time distribution of afterslip following the 2003 Tokachi-oki earthquake: Implications for variations in fault zone frictional properties,” Geophys. Res. Lett., 31, L06623, doi:10.1029/2003GL019410, 2004.
  7. [7] M. Ando, “Source mechanisms and tectonic significance of historical earthquakes along the Nankai trough, Japan,” Tectonophysics, Vol.27, pp. 119-140, 1975.
  8. [8] K. Ishibashi, “Specification of a soon-to-occur seismic faulting in the Tokai district, central Japan, based upon seismotectonics,” in “Earthquake Prediction: An International Review,” D. W. Simpson and P. G. Richards (Eds.), American Geophysical Union, Washington, D. C., pp. 297-332, 1981.
  9. [9] N. Kato, “Interaction of slip on asperities: Numerical simulation of seismic cycles on a two-dimensional planar fault with nonuniform frictional property,” J. Geophys. Res., Vol.109, B12306, doi:10.1029/2004JB003001, 2004.
  10. [10] N. Kato, “Numerical simulation of recurrence of asperity rupture in the Sanriku region, northeastern Japan,” J. Geophys. Res., Vol.113, B06302, doi:10.1029/2007JB005515, 2008.
  11. [11] N. Kato and T. E. Tullis, “A composite rate- and state-dependent law for rock friction,” Geophys. Res. Lett., Vol.28, pp. 1103-1106, 2001.
  12. [12] J. R. Rice, “Spatio-temporal complexity of slip on a fault,” J. Geophys. Res., Vol.98, pp. 9885-9907, 1993.
  13. [13] A. L. Ruina, “Slip instability and state variable friction laws,” J. Geophys. Res., Vol.88, pp. 10359-10370, 1983.
  14. [14] J.-C. Gu, J. R. Rice, A. L. Ruina, and S. T. Tse, “Slip motion and stability of a single degree of freedom elastic system with rate and state dependent friction,” J. Mech. Phys. Solids, Vol.32, pp. 167-196, 1984.
  15. [15] N. Kato and T. Hirasawa, “Nonuniform and unsteady sliding of a plate boundary in a great earthquake cycle: a numerical simulation using a laboratory-derived friction law,” Pure Appl. Geophys., Vol.155, pp. 93-118, 1999.
  16. [16] G. Hillers, Y. Ben-Zion, and P. M. Mai, “Seismicity on a fault controlled by rate- and state-dependent friction with spatial variations of the critical slip distance,” J. Geophys. Res., Vol.111, B01403, doi:10.1029/2005JB003859, 2006.
  17. [17] N. Uchida, T. Matsuzawa, W. L. Ellsworth, K. Imanishi, T. Okada, and A. Hasegawa, “Source parameters of a M4.8 and its accompanying repeating earthquakes off Kamaishi, NE Japan: Implications for the hierarchical structure of asperities and earthquake cycle,” Geophys. Res. Lett., Vol.34, L20313, doi:10.1029/2007GL031263, 2007.
  18. [18] T. C. Hanks and H. Kanamori, “Moment magnitude scale,” J. Geophys. Res., Vol.84, pp. 2348-2350, 1979.
  19. [19] N. Kato and T. Hirasawa, “A model for possible crustal deformation prior to a coming large interplate earthquake in the Tokai district, central Japan,” Bull. Seismol. Soc. Am., Vol.89, pp. 1401-1417, 1999.
  20. [20] J. H. Dieterich, “Earthquake nucleation on faults with rate- and state-dependent strength,” Tectonophysics, Vol.211, pp. 115-134, 1992.
  21. [21] J. Gomberg, M. L. Blanpied, and N. M. Beeler, “Transient triggering of near and distant earthquakes,” Bull. Seismol. Soc. Am., Vol.87, pp. 294-309, 1998.
  22. [22] E. Fukuyama, C. Hashimoto, and M. Matsu’ura, “Simulation of the transition of earthquake rupture from quasi-static growth to dynamic propagation,” Pure Appl. Geophys., Vol.159, pp. 2057-2066, 2002.
  23. [23] T. Lay and H. Kanamori, “Earthquake doublets in the Solomon Islands,” Phys. Earth Planet. Inter., Vol.21, pp. 283-304, 1980.
  24. [24] J. H. Dieterich, “A constitutive law for rate of earthquake production and its application to earthquake clustering,” J. Geophys. Res., Vol.99, pp. 2601-2618, 1994.
  25. [25] C. Hashimoto and M. Matsu’ura, “3-D physical modelling of stress accumulation processes at transcurrent plate boundaries,” Pure Appl. Geophys., Vol.157, pp. 2125-2147, 2000.
  26. [26] T. Yamashita, “Regularity and complexity of aftershock occurrence due to mechanical interactions between fault slip and fluid flow,” Geophys. J. Int., Vol.152, pp. 20-33, 2003.

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