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!#"$%&"'()(0"2134%5)(0%6)(!78"$9@!5@ACB 1@DE%FDGH)I1P!QRS(T2UV

Summary: !#"$%&"'()(0"2134%5)(0%6)(!78"$9@!5@ACB
lofgep@h'4hl4j@ek4qqqk4 e~h } kq e~h
q@vmm The initiation of frictional instability is investigated for simple models of fault
zone using a linearized perturbation analysis. The fault interface is assumed to obey a linear
slip weakening law. The fault is initially pre-stressed uniformly at the sliding threshold. In the
case of anti-plane shear between two homogeneous linearly elastic media, space-time and spec-
tral solutions are obtained and shown to be consistent. The nucleation is characterized by: (1)
a long wavelength unstable spectrum bounded by a critical wavenumber; (2) an exponential
growth of the unstable modes; and (3) an induced off-fault deformation that remains trapped
within a bounded zone in the vicinity of the fault. These phenomena are characterized in terms
of the elastic parameters of the surrounding medium and a nucleation length that results from
the coupling between the frictional interface and the bulk elasticity. These results are extended
to other geometries within the same formalism and implications for 3D rupture are discussed.
Finally, internal fault structures are investigated in terms of a fault-parallel damaged zone. Spec-
tral solutions are obtained for both a smooth and a layered distribution of damage. For nat-
ural faults the nucleation is shown to depend strongly on the existence of a internal damaged


Source: Ampuero, Jean Paul - Division of Geological and Planetary Sciences, California Institute of Technology


Collections: Geosciences