3D dynamic simulations of spontaneous rupture propagation governed by different constitutive laws with rake rotation allowed

作者: Andrea Bizzarri , Massimo Cocco

DOI: 10.4401/AG-3201

关键词: CurvatureConstitutive equationGeologyRakeOrientation (geometry)Traction (engineering)Stress (mechanics)LawFront velocityEarthquake rupture

摘要: In this work we present a 3D Finite Difference numerical method to model the dynamic spontaneous propagation of an earthquake rupture on planar faults in elastic half-space. We implement Traction-at-Split-Nodes fault boundary condition for system of faults, either vertical or oblique, using different constitutive laws. We can adopt both slip-weakening law prescribe traction evolution within breakdown zone rate- and state-dependent friction laws, which involve choice relation state variable. Our numerical procedure allows use oblique and heterogeneous distribution initial stress rake rotation. This implies that two components slip velocity total are coupled together to satisfy, norm, adopted law. The simulations presented study show rupture acceleration super-shear crack speeds occurs along direction imposed stress; front velocity perpendicular is slower than pre-stress direction. Depending the position fault plane orientation instantaneous can change with time respect to These temporal rake rotations depend amplitude initial stress its plane. They also curvature rupture front respect direction: explains why mostly located near the front cohesive zone.

参考文章(62)
Karl Terzaghi, Gholamreza Mesri, Ralph B. Peck, Soil mechanics in engineering practice ,(1948)
Eiichi Fukuyama, Raúl Madariaga, Rupture dynamics of a planar fault in a 3D elastic medium: Rate- and slip-weakening friction Bulletin of the Seismological Society of America. ,vol. 88, pp. 1- 17 ,(1998)
D. J. Andrews, Test of two methods for faulting in finite-difference calculations Bulletin of the Seismological Society of America. ,vol. 89, pp. 931- 937 ,(1999)
Mariagiovanna Guatteri, Paul Spudich, Coseismic temporal changes of slip direction: The effect of absolute stress on dynamic rupture Bulletin of the Seismological Society of America. ,vol. 88, pp. 777- 789 ,(1998)
Massimo Cocco, Andrea Bizzarri, On the slip-weakening behavior of rate- and state dependent constitutive laws Geophysical Research Letters. ,vol. 29, pp. 11-1- 11-4 ,(2002) , 10.1029/2001GL013999
Kaiwen Xia, Ares J Rosakis, Hiroo Kanamori, Laboratory earthquakes: the sub-Rayleigh-to-supershear rupture transition. Science. ,vol. 303, pp. 1859- 1861 ,(2004) , 10.1126/SCIENCE.1094022
James H. Dieterich, Gerald Conrad, Effect of humidity on time- and velocity-dependent friction in rocks Journal of Geophysical Research: Solid Earth. ,vol. 89, pp. 4196- 4202 ,(1984) , 10.1029/JB089IB06P04196
Paul G. Okubo, Dynamic rupture modeling with laboratory-derived constitutive relations Journal of Geophysical Research. ,vol. 94, pp. 12321- 12335 ,(1989) , 10.1029/JB094IB09P12321