破碎岩体非达西渗流的非线性动力学分析

Nonlinear dynamic analysis on non-Darcy seepage in over-broken rock mass

基于多孔介质的有效应力原理,建立起饱和破碎岩体非达西渗流流固耦合的非线性动力学模型,并对其一维解耦动力学方程进行无量纲变换,通过逐次亚松弛迭代法,得到其收敛于平衡态的孔隙压力及渗流速度时间序列.分析了系统在不同控制参数下的动力学响应,并给出了其相轨线图案.研究表明,渗流速度时间序列曲线存在周期2轨道,当非线性项参数递增或系统远离平衡态时,系统会发生渐进失稳,引发水渗流动力灾害.

Based on the principle of effective stress in porous media, a nonlinear dynamic model of the fluid-structure coupling for non-Darcy seepage in the over-broken rock mass was established, and for its decoupled model of one dimensional seepage, the time series of the pore pressure and the seepage velocity convergent to steady-state were obtained by non-dimensional transformation and the iteration method of successive lower relaxation. The dynamic responses of the system to variant parameters were analyzed, and also their trajectory patterns were given. The results indicate that the curve of the time series of the seepage velocity exists a track with two periods. When parameter of the nonlinear term increases or the system is far from steady state, the system will lose stability gradually, thus result in dynamic disaster of the water seepage.