Propagation Velocity of Pulse-Like Rupture Along Earthquake Faults
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Abstract
During earthquakes , the rupture front propagates along faults at approximately 40–90 % of the shear or Rayleigh wave velocity, with slip rate often concentrated in a narrow region behind the front. Past studies have considered this phenomenon using a steady-state pulse-like rupture model and a slip-weakening friction law ; however, the results included a trade-off between rupture velocity and the scale of the pulse, which prevents the rupture velocity from being uniquely determined. In this study, we explore this issue and develop a model to determine rupture velocity by considering a friction law based on a numerical simulation of a past study for a slipping plane with its microscopic structure. We combine two models from past studies to construct a relationship between rupture velocity and some tectonophysical/geological parameters.
Keywords
Singular Integral Equation Slip Rate Rupture Velocity Fault Gouge Rupture PropagationNotes
Acknowledgments
The author is grateful to T. Yamashita and T. Hatano for helpful discussions.
References
- 1.Adda-Bedia, M., Ben Amar, M.: Self-sustained slip pulses of finite size between dissimilar materials. J. Mech. Phys. Solids 51, 1849–1861 (2003)Google Scholar
- 2.Ampuero, J.-P., Ben-Zion, Y.: Cracks, pulses and macroscopic asymmetry of dynamic rupture on a bimaterial interface with velocity-weakening friction. Geophys. J. Int. 173, 674–692 (2008)CrossRefGoogle Scholar
- 3.Bizzarri, A.: On the deterministic description of earthquakes. Rev. Geophys. 49, RG3002 (2011)Google Scholar
- 4.Dong, G., Papageorgiou, A.S.: Seismic radiation from a unidirectional asymmetrical circular crack model, part I: constant rupture velocity. Bull. Seism. Soc. Am. 92(3), 945–961 (2002)MathSciNetCrossRefGoogle Scholar
- 5.Freund, L.B.: Dynamic Fracture Mechanics. Cambridge University Press, New York (1990)CrossRefzbMATHGoogle Scholar
- 6.Gabriel, A.-A., Ampuero, J.-P., Dalguer, L.A., Mai, P.M.: Source properties of dynamic rupture pulses with off-fault plasticity. J. Geophys. Res. Solid Earth 118, 4117–4126 (2013)CrossRefGoogle Scholar
- 7.Geller, R.J.: Scaling relations for earthquake source parameters and magnitudes. Bull. Seism. Soc. Am. 66(6), 1501–1523 (1976)Google Scholar
- 8.Hatano, T.: Scaling of the critical slip distance in granular layers. Geophys. Res. Lett. 36, L18304 (2009)CrossRefGoogle Scholar
- 9.Heaton. T.H.: Evidence for and implications of self-healing pulses of slip in earthquake rupture. Phys. Earth Planet. Int. 64, 1–20 (1990)Google Scholar
- 10.Hirano, S., Yamashita, T.: Modeling of interfacial dynamic slip pulses with slip-weakening friction. Bull. Seism. Soc. Am. 106, 1628–1636 (2016)Google Scholar
- 11.Ida, Y.: Cohesive force across the tip of a longitudinal shear crack and Griffith\(\cdot \)s crack specific surface energy. J. Geophys. Res. 77, 3796–3805 (1972)Google Scholar
- 12.Kane, D.L., Shearer, P.M., Goertz-Allman, B.P., Vernon, F.L.: Rupture directivity of small earthquakes at Parkfield. J. Geophys. Res. 118, 1–10 (2013)CrossRefGoogle Scholar
- 13.Muskhelishvili, N.I.: Singular Integral Equations. P. Noordhoff Ltd., Groningen (1953)zbMATHGoogle Scholar
- 14.Palmer, A.C., Rice, J.R.: The growth of slip surfaces in the progressive failure of over-consolidated clay. Proc. R. Soc. Lond. A 322, 527–548 (1973)Google Scholar
- 15.Rice, J.R., Sammis, C.G., Parsons, R.: Off-fault secondary failure induced by a dynamic slip pulse. Bull. Seism. Soc. Am. 95(1), 109–134 (2005)CrossRefGoogle Scholar
- 16.Robertson, E.C.: Continuous formation of gouge and breccia during fault displacement. In: Goodman, R.E., Hulse, F. (eds.) Issues in Rock Mechanics, Proceedings of 23rd Symposium of Rock Mechanics, pp. 397–404. American Institute of Mining and Metallurgical Engineers, New York, NY (1982)Google Scholar
- 17.Rubin, A., Gillard, D.: Aftershock asymmetry/rupture directivity among central San Andreas fault microearthquakes. J. Geophys. Res. 105, 19095–19109 (2000)CrossRefGoogle Scholar
- 18.Scholz, C.H.: Wear and gouge formation in brittle faulting. Geology 15, 493–495 (1987)CrossRefGoogle Scholar
- 19.Tricomi, F.G.: Integral Equations. Dover, New York (1957)zbMATHGoogle Scholar
- 20.Venkataraman, A., Kanamori, H.: Observational constraints on the fracture energy of subduction zone earthquakes. J. Geophys. Res. 109, B05302 (2004)Google Scholar
- 21.Weertman, J.: Unstable slippage across a fault that separates elastic media of different elastic constants. J. Geophys. Res. 85, 1455–1461 (1980)CrossRefGoogle Scholar
- 22.Weertman, J., Weertman, J.R.: Moving dislocations. In: Nabarro, F.R.N. (ed.) Dislocations in Solids, vol. 3, chap. 8, pp. 1–59, North-Holland Publishing Co., Amsterdam (1980)Google Scholar