摘要
研究煤层瓦斯径向流场的流动方程——非线性偏微分方程的解析解迄今仍是数学难题。作者通过变量替换和适当化简,获得其近似的解析解,即径向流场瓦斯压力分布规律表达式,以此建立起煤层瓦斯抽放参数的解析计算式。经计算机的数值计算验证,新的解析式是可靠的,而且精度较高,简便实用。
It's still a difficult problem so far to find the analytic solutionsfor the gas flow equations nonlinear partial differential equations of radial flow fields in coalseams the author develops its approximate andlytic solutions with the variable substitution and the proper simplification, ie the distribution expression of gas pressure in radial flow fields then, the analytic calculating forvnulas of gas drainage parameters are setup. The numerical caleulation buith computers demonsteates that the new mathematical formulas are reliable and precise enough and easy to use
出处
《山东矿业学院学报》
CAS
1989年第4期33-39,共7页
Journal of Shandong University of Science and Technology(Natural Science)
关键词
瓦斯
径向流动
流场
压力分布
Gas migration
flow fields
radial flow
Gas pressure
regularities of distribution
flow equations
Non-Linear partial aifferential equation
analytic solution
