为了研究地下水作用下复合型介质边坡位移随时间的变化趋势，根据复合型介质边坡中的软岩与水之间相互作用的问题是一类非线性问题，建立了复合型介质边坡在地下水作用下的非线性动力学模型，将非线性动力学方程组线性化，通过常微分方程求解法得到含有未知常数的位移时间函数式。从位移时间函数式可以看出边坡滑坡产生了脉动位移。时间位移函数式对边坡的阶段性滑动作近似的描述。对函数式进行进一步分析可了解到，边坡下滑时，位移是周期性变化的，即边坡从失稳开始到不稳定暂时平衡状态到下次失稳下滑是一个周期，边坡系统在不稳定暂时平衡位置退化的临界点附近克服摄动效应，延长了稳定的时间。给出了边坡岩体在渐近性破坏过程中的位移与时间的函数式，建立了此类边坡剧动式灾变的位移判据，并通过Lyapunov指数的计算得出判断此类边坡演化出现混沌状态的一个指标。

In order to study the displacement for compound rockmass slope affected by groundwater over the time, according to the problem of the interaction between of soft rockmass and water is the nonlinear problems, to build the nonlinear dynamic equation of the compound rockmass slop affected by groundwater. The nonlinear dynamic equation is linearized, time and displacement function of unknown constants is obtained by solving the ordinary differential equations. pulsation shift can be learned from the time and displacement function. The function similarly displays that the slope periodically slipped. To have a further analysis of the function，when slope glided down its displacement periodically varied，which slope from instability to a temporary state of equilibrium to the next slide is a cycle. Slope system in the unstable equilibrium position near the critical point of degradation to overcome the perturbation effects, the time of stability is prolonged. The displacement formulas for rockmass slope in the process of progressive failure are derived. To calculate the Lyapunov index, one mark of the slope’s chaos is given.