Modeling the onset of earthquake-triggered landslides on slip surfaces
governed by rate-and-state friction
Abstract
Earthquake-triggered landslides are a severe hazard and contribute to
landscape evolution. To understand their process and controlling
factors, we model the onset of seismically-triggered slip on
pre-existing slip surfaces governed by laboratory-based rate-and-state
friction, including wave propagation effects. Through numerical
simulations and theoretical analysis, we identify how friction
properties, landslide thickness and incident wave attributes (frequency,
duration, amplitude) control slope stability.
We find that the frictional state variable tracks the cyclic fatigue of
the slip surface, its progressive weakening with each wave cycle.
Wave propagation effects introduce two regimes depending on frequency
relative to the two-way travel time across the landslide thickness: the
stability criterion is well approximated by a threshold on incident peak
acceleration at low frequencies, and on peak velocity at high
frequencies.
We derive analytical approximations, validated by simulations, suitable
to apply the model to evaluate landslide stability under arbitrary input
motions.