介绍了有限元自动生成系统(FEPG)的功能和用法,探讨了该系统在煤层气渗流规律研究中的具体方法。建立考虑滑脱效应的煤层气渗流数学模型,给出了基于虚位移原理的微分方程的弱形式,据此编写了FEPG程序,利用FEPG系统生成了考虑滑脱效应的煤层气渗流数学模型有限元问题的全部Fortran源程序,并进行了数值求解。给出了数值模拟网格剖分图。计算结果以压力云图、压力曲线、压力等值线、压力最大最小值图形等多种直观的形式显示。
The paper deals with the function and the usage of the finite element program generator (FEPG) and discusses this system to be used in the seepage regularity research of the coal-bed methane. The mathematical model of coal- bed methane seepage is established considering slipped effect, giving the weak form of the differential equation based on the principle of virtual displacement, hereby writing FEPG program .Using FEPG system's all the source program of the finite element which considers the mathematical model of coal-bed methane seepage of slip effect the numerical solution is sought. The girding sectional drawing of the numerical simulation is given. The results are shown in the form of pressure cloud map, pressure curve, pressure isoline, the maximum and the maximum figure and etc.