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Please use this identifier to cite or link to this item: http://hdl.handle.net/2122/903

Authors: Bizzarri, A.*
Cocco, M.*
Title: 3D dynamic simulations of spontaneous rupture propagation governed by different constitutive laws with rake rotation allowed
Issue Date: 2005
Series/Report no.: 48 (2)
URI: http://hdl.handle.net/2122/903
Keywords: earthquake dynamics
numerical modeling
friction laws
slip time history
rake rotation
Abstract: 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 an elastic half-space. We implement the Traction-at-Split-Nodes fault boundary condition for a system of faults, either vertical or oblique, using different constitutive laws. We can adopt both a slip-weakening law to prescribe the traction evolution within the breakdown zone or rate- and state-dependent friction laws, which involve the choice of an evolution relation for the state variable. Our numerical procedure allows the use of oblique and heterogeneous distribution of initial stress and allows the rake rotation. This implies that the two components of slip velocity and total dynamic traction are coupled together to satisfy, in norm, the adopted constitutive law. The simulations presented in this study show that the rupture acceleration to super-shear crack speeds occurs along the direction of the imposed initial stress; the rupture front velocity along the perpendicular direction is slower than that along the pre-stress direction. Depending on the position on the fault plane the orientation of instantaneous total dynamic traction can change with time with respect to the imposed initial stress direction. These temporal rake rotations depend on the amplitude of initial stress and on its distribution on the fault plane. They also depend on the curvature and direction of the rupture front with respect to the imposed initial stress direction: this explains why rake rotations are mostly located near the rupture front and within the cohesive zone.
Appears in Collections:Manuscripts
04.06.03. Earthquake source and dynamics
Annals of Geophysics
Papers Published / Papers in press

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