【摘要】 煤矿突水和瓦斯突出是渗流系统失稳的表现 ,是由系统的非线性机制决定的复杂动力学行为。通过变换一个简单的线性变换 ,可将岩石孔隙非 Darcy渗流动力系统转化成一个不含控制参量的非线性微分动力系统。本文分别用分离变量法、行波法、相似变换法研究了这种系统的动力学响应。研究表明非 Darcy渗流动力系统的冲击波解存在同宿和异宿轨道 ,自相似方程存在奇异性更多还原

【Abstract】 Water inrush and gas outburst in mines are exhibitions of instability of seepage flow in wall rock, and their complicated dynamic behavior is governed by the nonlinearity in their control equations. Through a simple translation, the control equations of non Darcy flow system can be changed into a nonlinear partial differential equation without control parameters. In the current article, several analytical methods are used to get the dynamic response, and brief analysis on the nonlinear features is presented更多还原