HR: 1340h
AN: S53A-1081 [Abstracts]
TI: Nucleation and Propagation of Dynamic Earthquake Rupture Under Constrained Stochastic Shear
Stress
AU: * Ripperger, J
EM: ripperger@sed.ethz.ch
AF: Institute of Geophysics, ETH Zuerich, Schafmattstr. 30, Zurich, 8093
Switzerland
AU: Mai, P M
EM: mai@sed.ethz.ch
AF: Institute of Geophysics, ETH Zuerich, Schafmattstr. 30, Zurich, 8093
Switzerland
AU: Ampuero, J
EM: ampuero@erdw.ethz.ch
AF: Institute of Geophysics, ETH Zuerich, Schafmattstr. 30, Zurich, 8093
Switzerland
AB:
Nucleation, propagation and arrest of dynamic rupture are strongly influenced by
the distribution of shear stress on the fault plane. Whether or not a seismic
instability grows into a moderate to large earthquake, but also the temporal
properties (propagation velocity, slip velocity) of sustained rupture depend on
the statistical properties of the initial stress fields. Though the incipient stresses
are not known for future earthquakes, their physically consistent stochastic
characterization will help to include effects of rupture dynamics into earthquake
scenario calculations for improved near-source seismic hazard assessment.
We therefore study the characterization of heterogeneous stress distributions to
explore and quantify their effects on nucleation and propagation of dynamic rupture.
Our numerical model consists of a planar fault plane in an elastic medium. Friction on
the fault follows a linear slip-weakening law, while the frictional coefficients, the
critical slip-weakening distance and normal stress are constant across the fault plane.
Shear stress is generated using a spatial random field model, constrained to a fractal
wave-number spectrum with a flat part below a given corner wavenumber k_c. Tectonic
loading is assumed to occur by homogeneously increasing the initial stress. The critical
stress state, at which instability occurs, is found approximately by a trial and error
procedure.
We find that the resulting nucleation zone in general has a complex shape, but whose
dimensions can be related to nucleation lengths that have been analytically derived
for simple cases. The critical stress load that has to be added to reach the critical state
depends on the ratio A(k_{nuc)/A_0. Here A_0 is the spectral amplitude of the initial shear
stress in the flat part below k_c and A(knuc) is the amplitude at wave number knuc
associated with the nucleation length. The average stress level at the critical state of
nucleation, which controls the temporal evolution of dynamic rupture, also depends on this
spectral amplitude ratio. To relate our dynamic modeling to directly observable quantities,
we also analyze the macroscopic rupture parameters (seismic moment, moment rate and seismic
energy).
DE: 7209 Earthquake dynamics (1242)
DE: 7290 Computational seismology
SC: Seismology [S]
MN: Fall Meeting 2005