Abstract
This letter compares the predictions of the two expressions that have
been proposed for the porosity evolution in the context of rate and
state friction. One depends only on the sliding velocity; the other
depends only on the state variable. The predictions of the two
expressions are similar for simulations of velocity stepping and
slide-hold-slide experiments but differ
significantly for normal effective stress jumps at constant sliding
velocity. The formulation that depends only on the velocity predicts no
change in the porosity; the other does.
A simulation with a spring-block model indicates that the magnitude of
rapid slip events is essentially the same for the two models. Variations
of porosity and induced pore pressure near rapid slip events are similar
and consistent with experimental observations. Predicted porosity
variations during slow slip intervals and the time at which rapid slip
events occur are significantly different.