The stability of fault slip is sensitive to the way in which frictiona
l strength responds to changes in slip rate and in particular to the e
ffective velocity dependence of steady state friction Delta mu(ss)/Del
ta ln V. This quantity can vary substantially with displacement, tempe
rature and slip rate. To investigate the physical basis for this behav
ior and the possible influence of shear heating, we slid initially bar
e granite surfaces in unconfined rotary shear to displacements of hund
reds of millimeters at normal stresses, sigma(n), of 10 and 25 MPa and
at room temperature. We imposed step changes in slip rate within the
range 10(-)2 to 10(3.5) mu m/s and also monitored frictional heating w
ith thermistors embedded in the granite. The transient response of mu
to slip rate steps was fit to a rate- and state-dependent friction law
using two state variables to estimate the values of several parameter
s in the constitutive law. The first 20 mm of slip shows rising fricti
on and falling Delta mu(ss)/Delta ln V; further slip shows roughly con
stant friction, Delta mu(ss)/Delta ln V and parameter values, suggesti
ng that a steady state condition is reached on the fault Surface. At V
less than or equal to 10 mu m/s, Delta mu(ss)/Delta ln V = -0.004 +/-
0.001. At higher rates the response is sensitive to normal stress: At
sigma(n) = 25 MPa granite shows a transition to effective velocity st
rengthening (Delta mu(ss)/Delta ln V = 0.008 +/- 0.004) at the highest
slip rates tested. At 10 MPa granite shows a less dramatic change to
Delta mu(ss)/Delta ln V approximate to 0 at the highest rates. The max
imum temperature measured in the granite is similar to 60 degrees C at
25 MPa and 10(3.5) mu m/s. Temperatures are in general agreement with
a numerical model of heat conduction which assumes spatially homogene
ous frictional heating over the sliding surface. The simplest interpre
tation of our measurements of Delta mu(ss)/Delta ln V is that the gran
ite is inherently velocity weakening (partial derivative mu(ss)/partia
l derivative) ln V < 0) and temperature strengthening (partial derivat
ive mu(ss)/partial derivative T-1 < 0) at all velocities. At high slip
rates the response of CL to changes in temperature from shear heating
may outweigh the response to changing velocity, such that the net eff
ect Delta mu(ss)/Delta > 0 mimics velocity strengthening. These result
s have implications for the frictional behavior of faults during earth
quakes. High slip rates may cause a switch to effective velocity stren
gthening which could limit peak coseismic slip rate and stress drop. F
or fluid-saturated faults, strengthening by this mechanism may be part
ly or fully offset by weakening due to thermal pressurization of a poo
rly drained pore fluid.