Ampuero, Jean-Paul and Rubin, Allan M. (2008) Earthquake nucleation on rate and state faults – Aging and slip laws. Journal of Geophysical Research B, 113 . B01302. ISSN 0148-0227 http://resolver.caltech.edu/CaltechAUTHORS:AMPjgrb08
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We compare 2-D, quasi-static earthquake nucleation on rate-and-state faults under both “aging” and “slip” versions of the state evolution law. For both versions mature nucleation zones exhibit 2 primary regimes of growth: Well above and slightly above steady state, corresponding respectively to larger and smaller fault weakening rates. Well above steady state, aging-law nucleation takes the form of accelerating slip on a patch of fixed length. This length is proportional to b^−1 and independent of a, where a and b are the constitutive parameters relating changes in slip speed and state to frictional strength. Under the slip law the nucleation zone is smaller and continually shrinks as slip accelerates. The nucleation zone is guaranteed to remain well above steady state only for values of a/b that are low by laboratory standards. Near steady state, for both laws the nucleation zone expands. The propagating front remains well above steady state, giving rise to a simple expression for its effective fracture energy G c . This fracture energy controls the propagation style. For the aging law G c increases approximately as the square of the logarithm of the velocity jump. This causes the nucleation zone to undergo quasi-static crack-like expansion, to a size asymptotically proportional to b/(b−a)^2. For the slip law G c increases only as the logarithm of the velocity jump, and crack-like expansion is not an option. Instead, the nucleation zone grows as an accelerating unidirectional slip pulse. Under both laws the nucleation front propagates at a velocity larger than the slip speed by roughly μ′/bσ divided by the logarithm of the velocity jump, where μ′ is the effective elastic shear modulus. For this prediction to be consistent with observed propagation speeds of slow slip events in subduction zones appears to require effective normal stresses as low as 1 MPa.
|Additional Information:||© 2008. American Geophysical Union. Received 30 March 2007; accepted 10 October 2007; published 10 January 2008. Jim Dieterich suggested running the far-below-steady state simulation of Figure 4. We thank Norm Sleep, one anonymous reviewer, and the Associate Editor for helpful reviews. GMT software was used to produce figures. Supported by NSF grants EAR-0126184 and EAR-0538156. JPA is funded by SPICE, an EU Marie Curie Research Training Network. AR gratefully acknowledges a Cox visiting professorship at Stanford University.|
|Subject Keywords:||Earthquake nucleation, rate and state friction, transient slip events|
|Official Citation:||Ampuero, J.-P., and A. M. Rubin (2008), Earthquake nucleation on rate and state faults – Aging and slip laws, J. Geophys. Res., 113, B01302, doi:10.1029/2007JB005082.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||16 Dec 2008 06:55|
|Last Modified:||26 Dec 2012 10:37|
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