HR: 11:50h
AN: T22A-07 [Abstracts]
TI: Transition from Frictional Weakening to Shear Heating Induced Thermal Pressurization
AU: * Segall, P
EM: segall@stanford.edu
AF: Stanford University, Department of Geophysics, Stanford, CA 94305
United States
AU: Rice, J R
EM: rice@esag.harvard.edu
AF: Harvard University, Division of Engineering and Applied Sciences and Department of Earth and Planetary
Sciences
224 Pierce Hall
29 Oxford Street, Cambridge, MA 02138
United States
AB:
Earthquake nucleation requires loss of frictional strength $\tau = \mu (\sigma - p)$ with slip or slip rate. For rate and
state dependent $\mu$ at fixed $(\sigma - p)$
instabilities can occur when $d \tau_{ss} / d {\rm log} v = (\sigma - p)(a - b)$ is negative. Shear heating increases $p$
and, if dilatancy and pore pressure diffusion are limited, will cause $\tau$ to decrease. We examine how frictional
weakening, shear heating, dilatancy and
pore-pressure diffusion determine stability in a simplified fault model with a
narrow core (thickness $h$) bordered by an impermeable wall, and an outer
damage zone. We develop a fluid diffusion model accurate when along strike variations
are much greater than $h$, and times are long compared to the pore
pressure diffusion time through the fault core. Dilatancy and thermal diffusion are
included in an approximate fashion. If the drained behavior
is stable ($ a>b$), and wall zone permeability exceeds a critical value (estimated at
$\sim 10^{-21}m^2$) then fault slip is linearly stable at all wavelengths.
The critical permeability is
less than that measured in active
fault cores, even at effective stresses acting at 10 km depth.
We conclude that shear heating can not generally nucleate slip instability and that frictional
weakening is required. However, shear heating may nucleate instability on velocity
strengthening faults following strong stress perturbations. On frictionally weakening faults
shear heating becomes
dominant at slip speeds of order
%$v \sim L_p/t_p
$\sim$ 1 mm/s, and displacements of
$(\sim 0.001-0.01 m)$. Thus, dynamic rupture may be insensitive to frictional
variations and dominated by shear heating effects.
Time to failure calculations based on
rate-state friction alone, however, should be approximately valid
DE: 8159 Rheology--crust and lithosphere
DE: 7209 Earthquake dynamics and mechanics
SC: Tectonophysics [T]
MN: 2004 AGU Fall Meeting