1. Top of page
  2. Abstract
  3. References

A series of systematic, high-resolution laboratory experiments have been performed on the nucleation of propagating slip failure on preexisting faults having different surface roughnesses to demonstrate how the size scale and duration of shear rupture nucleation are affected by geometric irregularity of the rupturing surfaces. On the basis of the experimental results it has been discussed theoretically how consistently scale-dependent physical quantities inherent in shear rupture are scaled. The experiments led to conclusive results that the nucleation process consists of two phases (phase I, an initial, quasi-static phase, and phase II, a subsequent accelerating phase) and that the nucleation process is greatly affected by geometric irregularities on the rupturing surfaces. In phase I the rupture grows at a slow, steady speed which is independent of the rupture growth length L. In contrast, during phase II the rupture develops at accelerating speeds V, which increase with an increase in L, obeying a power law V/VS = α(Lc)n, where VS is the shear wave velocity, λc is the characteristic length representing the geometric irregularity of the fault surfaces, and α and n are constants (α = 8.87 × 10−29 and n = 7.31). Scale dependency of scale-dependent physical quantities, including the nucleation zone size and its duration, is commonly ascribed to scale dependency of the slip-dependent constitutive law parameter Dc, which is in turn governed by λc. It has been discussed that a unified comprehension can be provided for shear rupture of any size scale if the constitutive law for shear rupture is formulated as a slip-dependent law.


  1. Top of page
  2. Abstract
  3. References
  • Aki, K., Characterization of barriers on an earthquake fault, J. Geophys. Res., 84, 61406148, 1979.
  • Aki, K., Asperities, barriers, characteristic earthquakes and strong motion prediction, J. Geophys. Res., 89, 58675872, 1984.
  • Aki, K., Scale dependence in earthquake phenomena and its relevance to earthquake prediction, Proc. Natl. Acad. Sci. U.S.A., 93, 37403747, 1996.
  • Atkinson, B. K., Subcritical crack propagation in rocks: Theory, experimental results and applications, J. Struct. Geol., 4, 4156, 1982.
  • Atkinson, B. K., Subcritical crack growth in geological materials, J. Geophys. Res., 89, 40774114, 1984.
  • Atkinson, B. K., P. G. Meredith, The theory of subcritical crack growth with applications to minerals and rocks, Fracture Mechanics of RockB. K. Atkinson, 111166, Academic, San Diego, Calif., 1987.
  • Beroza, G. C., W. L. Ellsworth, Properties of the seismic nucleation phase, Tectonophysics, 261, 209227, 1996.
  • Charles, R. J., Dynamic fatigue of glass, J. Appl. Phys., 29, 16571662, 1958.
  • Dieterich, J. H., Preseismic fault slip and earthquake prediction, J. Geophys. Res., 83, 39403948, 1978.
  • Dieterich, J. H., Earthquake nucleation on faults with rate- and state-dependent strength, Tectonophysics, 211, 115134, 1992.
  • Dieterich, J. H., B. Kilgore, Implications of fault constitutive properties for earthquake prediction, Proc. Natl. Acad. Sci. U.S.A., 93, 37873794, 1996.
  • Dieterich, J. H., D. W. Barber, G. Conrad, Q. A. Gorton, Preseismic slip in a large scale friction experiment, Proc. U.S. Symp. Rock Mech., 19, 110117, 1978.
  • Ellsworth, W. L., G. C. Beroza, Seismic evidence for an earthquake nucleation phase, Science, 268, 851855, 1995.
  • Ida, Y., The maximum acceleration of seismic ground motion, Bull. Seismol. Soc. Am., 63, 959968, 1973.
  • Ide, S., M. Takeo, Determination of constitutive relations of fault slip based on seismic wave analysis, J. Geophys. Res., 102, 2737927391, 1997.
  • Kanamori, H., The nature of seismic patterns before large earthquakes, Earthquake Prediction: An International Review, Maurice Ewing Ser., 4D. W. Simpson, P. G. Richards, 119, AGU, Washington, D. C., 1981.
  • Kanamori, H., G. S. Stewart, Seismological aspects of the Guatemala earthquake of February 4, 1976, J. Geophys. Res., 83, 34273434, 1978.
  • Kato, N., T. Hirasawa, A numerical study on seismic coupling along subduction zones using a laboratory-derived friction law, Phys. Earth Planet. Inter., 102, 5168, 1997.
  • Kato, N., K. Yamamoto, H. Yamamoto, T. Hirasawa, Strain-rate effect on frictional strength and the slip nucleation process, Tectonophysics, 211, 269282, 1992.
  • Knopoff, L., The organization of seismicity on fault networks, Proc. Natl. Acad. Sci. U.S.A., 93, 38303837, 1996.
  • Kuwahara, Y., M. Ohnaka, K. Yamamoto, T. Hirasawa, Effects of the fault surface roughness on unstable slip and a scaling law of slip, Programme Abstr. Annu. Meet. Seismol. Soc. Jpn., 2, 110, 1985.
  • Kuwahara, Y., M. Ohnaka, K. Yamamoto, T. Hirasawa, Accelerating process of rupture during stick-slip failure, Programme Abstr. Annu. Meet. Seismol. Soc. Jpn., 2, 233, 1986.
  • Li, V. C., Mechanics of shear rupture applied to earthquake zones, Fracture Mechanics of RockB. K. Atkinson, 351428, Academic, San Diego, Calif., 1987.
  • Matsu'ura, M., T. Sato, Loading mechanism and scaling relations of large interplate earthquakes, Tectonophysics, 277, 189198, 1997.
  • Matsu'ura, M., H. Kataoka, B. Shibazaki, Slip-dependent friction law and nucleation processes in earthquake rupture, Tectonophysics, 211, 135148, 1992.
  • Ohnaka, M., Nonuniformity of crack-growth resistance and breakdown zone near the propagating tip of a shear crack in brittle rock: A model for earthquake nucleation to dynamic rupture, Can. J. Phys., 68, 10711083, 1990.
  • Ohnaka, M., Earthquake source nucleation: A physical model for short-term precursors, Tectonophysics, 211, 149178, 1992.
  • Ohnaka, M., Critical size of the nucleation zone of earthquake rupture inferred from immediate foreshock activity, J. Phys. Earth, 41, 4556, 1993.
  • Ohnaka, M., Constitutive equations for shear failure of rocks, Theory of Earthquake Premonitory and Fracture ProcessesR. Teisseyre, 2644, Pol. Sci. Publ. PWN, Warsaw, 1995.
  • Ohnaka, M., Nonuniformity of the constitutive law parameters for shear rupture and quasistatic nucleation to dynamic rupture: A physical model of earthquake generation processes, Proc. Natl. Acad. Sci. U.S.A., 93, 37953802, 1996.
  • Ohnaka, M., Earthquake generation processes and earthquake prediction: Implications of the underlying physical law and seismogenic environments, J. Seismol. Soc. Jpn., Ser. 2, 50, suppl., 129155, 1998.
  • Ohnaka, M., Y. Kuwahara, Characteristic features of local breakdown near a crack-tip in the transition zone from nucleation to unstable rupture during stick-slip shear failure, Tectonophysics, 175, 197220, 1990.
  • Ohnaka, M., T. Yamashita, A cohesive zone model for dynamic shear faulting based on experimentally inferred constitutive relation and strong motion source parameters, J. Geophys. Res., 94, 40894104, 1989.
  • Ohnaka, M., K. Yamamoto, Y. Kuwahara, T. Hirasawa, Dynamic processes during slip of stick-slip as an earthquake fault model, J. Seismol. Soc. Jpn., Ser. 2, 36, 5362, 1983.
  • Ohnaka, M., Y. Kuwahara, K. Yamamoto, T. Hirasawa, Dynamic breakdown processes and the generating mechanism for high-frequency elastic radiation during stick-slip instabilities, Earthquake Source Mechanics, Geophys. Monogr. Ser., 37S. Das, J. Boatwright, C. H. Scholz, 1324, AGU, Washington, D. C., 1986.
  • Ohnaka, M., Y. Kuwahara, K. Yamamoto, Nucleation and propagation processes of stick-slip failure and normal stress dependence of the physical parameters of dynamic slip failure, Nat. Disaster Sci., 9, 121, 1987a.
  • Ohnaka, M., Y. Kuwahara, K. Yamamoto, Constitutive relations between dynamic physical parameters near a tip of the propagating slip zone during stick-slip shear failure, Tectonophysics, 144, 109125, 1987b.
  • Ohnaka, M., M. Akatsu, H. Mochizuki, A. Odedra, F. Tagashira, Y. Yamamoto, A constitutive law for the shear failure of rock under lithospheric conditions, Tectonophysics, 277, 127, 1997.
  • Okubo, P. G., J. H. Dieterich, Effects of physical fault properties on frictional instabilities produced on simulated faults, J. Geophys. Res., 89, 58175827, 1984.
  • Palmer, A. C., J. R. Rice, The growth of slip surfaces in the progressive failure of over-consolidated clay, Proc. R. Soc. London, Ser. A, 332, 527548, 1973.
  • Papageorgiou, A. S., K. Aki, A specific barrier model for the quantitative description of inhomogeneous faulting and the prediction of strong ground motion, II, Applications of the model, Bull. Seismol. Soc. Am., 73, 953978, 1983.
  • Rice, J. R., The mechanics of earthquake rupture, Physics of the Earth's InteriorA. M. Dziewonski, E. Boschi, 555649, North-Holland, New York, 1980.
  • Rice, J. R., Y. Ben-Zion, Slip complexity in earthquake fault models, Proc. Natl. Acad. Sci. U.S.A., 93, 38113818, 1996.
  • Romanowicz, B., Strike-slip earthquakes on quasi-vertical transcurrent faults: Inferences for general scaling relations, Geophys. Res. Lett., 19, 481484, 1992.
  • Scholz, C. H., Scaling laws for large earthquakes: consequences for physical models, Bull. Seismol. Soc. Am., 72, 114, 1982.
  • Scholz, C. H., A reappraisal of large earthquake scaling, Bull. Seismol. Soc. Am., 84, 215218, 1994.
  • Shibazaki, B., M. Matsu'ura, Transition process from nucleation to high-speed rupture propagation: scaling from stick-slip experiments to natural earthquakes, Geophys. J. Int., 132, 1430, 1998.
  • Sibson, R. H., Roughness at the base of the seismogenic zone: contributing factors, J. Geophys. Res., 89, 57915799, 1984.
  • Tullis, T. E., Rock friction and its implications for earthquake prediction examined via models of Parkfields earthquakes, Proc. Natl. Acad. Sci. U.S.A., 93, 38033810, 1996.
  • Yamashita, T., M. Ohnaka, Nucleation process of unstable rupture in the brittle regime: A theoretical approach based on experimentally inferred relations, J. Geophys. Res., 96, 83518367, 1991.