Steady and Intermittent Slipping in a Model of Landslide Motion Regulated by Pore-Pressure Feedback
Steady and Intermittent Slipping in a Model of Landslide Motion Regulated by Pore-Pressure Feedback
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DOI：
10.1137/07070704x
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发表时间：
2008-12
期刊：
影响因子：
--
通讯作者：
D. Schaeffer;R. M. Iverson
中科院分区：
文献类型：
--
作者：
D. Schaeffer;R. M. Iverson
This paper studies a parsimonious model of landslide motion, which consists of the one-dimensional diffusion equation (for pore pressure) coupled through a boundary condition to a first-order ODE (Newton's second law). Velocity weakening of sliding friction gives rise to nonlinearity in the model. Analysis shows that solutions of the model equations exhibit a subcritical Hopf bifurcation in which stable, steady sliding can transition to cyclical, stick-slip motion. Numerical computations confirm the analytical predictions of the parameter values at which bifurcation occurs. The existence of stick-slip behavior in part of the parameter space is particularly noteworthy because, unlike stick-slip behavior in classical models, here it arises in the absence of a reversible (elastic) driving force. Instead, the driving force is static (gravitational), mediated by the effects of pore-pressure diffusion on frictional resistance.
