气体在煤层中渗流的稳定性分析  

The stability of the seepage flow of gas in coal seam

作　　者：李天珍[1] 马林[1] 四旭飞[2] 孔海陵[2] 

机构地区：[1]徐州工程学院,江苏徐州221008 [2]中国矿业大学,江苏徐州221008

出　　处：《矿山压力与顶板管理》2005年第2期100-102,共3页Ground Pressure and Strata Control

基　　金：中国矿业大学科学基金项目(A200412);中国博士后科学基金(20040350676);江苏省博士后基金项目(2004年度)

摘　　要：基于瓦斯突出本质在于气体在煤层中渗流失稳的假设,建立了气体渗流的一种非线性动力学模型,讨论了系统平衡态的存在性。用Chebyshev配点法将系统的控制方程简化成含12个相变量的常微分方程组,计算了系统的动力学响应,得到了系统失稳的条件。研究表明,由于气体的压缩性,煤层中气体非Dar-cy渗流系统平衡态的绝对压力的平方成线性分布;系统存在跨临界Hopf分岔和切分岔。Based on the hypothesis that gas outburst is, in nature, the loss of stability of seepage flow of gas in coal strata, a nonlinear dynamic model suitable for gas seepage is established, and the existence of steady state is discussed. By using Chebyshev's collocation method, the partial equations which dominate the evolution of the system are reduced into a set of ordinary differential equations involving twelve state variables. The dynamic responses are computed before the bifurcation conditions are summed up. This study shows that the square of absolute pressure under the steady state is linearly distributed owing to the compressibility of gas; trans-critical hopf's bifurcation and tangential bifurcation exist in the system.

关 键 词：瓦斯突出 气体渗流 跨临界Hopf分岔 切分岔 Chebyshev配点法 

分 类 号：TD712[矿业工程—矿井通风与安全]