【作者】 李顺才； 李强； 郭静那；

【Author】 LI Shun-cai;LI Qiang;GUO Jing-na;School of Mechanical and Electrical Engineering,Jiangsu Normal University;State Key Laboratory for Geomechanics and Deep Underground Engineering,China University of Mining and Technology;

【机构】 江苏师范大学机电学院； 中国矿业大学深部岩土国家重点实验室；

【摘要】 基于破碎煤岩体的稳态渗透试验及Forchheimer型非Darcy渗流的控制方程,建立了破碎岩体渗流的多参量非线性动力学方程组,经过无量纲变换,得到了渗流系统的平衡态。根据非线性动力学理论,推导出系统关于状态变量的势函数,得到了渗流动力系统的奇点集及折叠突变的标准势函数。根据微分动力理论,研究了非达西流因子的渐变对渗流系统结构稳定性的影响。研究表明,渗流系统的平衡态存在三个分支,在极限参数附近,平衡态的稳定性发生突变;破碎煤岩渗流动力系统存在滞后分叉,在分岔点处易发生折叠突变引发突水等灾害。本文的分析可为破碎岩体中水渗流失稳的预测提供理论参考。更多还原

【Abstract】 Based on the steady permeability test results of the broken coal(rock) and by the control equations of Forchheimer-non Darcy flow, the multi-parameter nonlinear dynamical equations of seepage in broken are established and the equilibrium states of seepage system are obtained by dimensionless transformation. According to the nonlinear dynamic theory, we developed the potential function on the state variables of the seepage system and got the singularity set of seepage dynamical system,furthermore we derived the standard potential function of fold catastrophe. According to the differential dynamical theory, we studied the influence of gradual change of non-Darcy flow factor on the structure stability of seepage system. The study showed that there were three branches in the equilibrium state of the seepage system and near the limit parameters the stability of equilibrium states has a catastrophe; there is lagging bifurcation in the seepage dynamical system of the broken rock, which easily lead to water inrush and other disasters caused by fold catastrophe. The analysis of this paper can provide a theoretical reference for the prediction of water seepage instability in broken rock.更多还原