巷壁瓦斯涌出的数学模型及无因次分析

Mathematical model of gas emission of coal wall and its numerical analysis

为研究巷道煤壁瓦斯涌出规律,根据朗格缪尔方程、达西定律和质量守恒定律,建立巷壁瓦斯非稳态涌出的数学模型,引入无因次准数,研究该模型的无因次形式,运用Visual Basic语言编制数值解算软件.通过对巷壁瓦斯涌出的无因次模型进行数值分析,得到巷壁瓦斯涌出无因次压力分布曲线和无因次瓦斯比流量、无因次累计瓦斯涌出量与时间的关系曲线.研究结果表明:根据无因次参数曲线图,结合实际煤体瓦斯参数,能快速精准确定实际巷壁瓦斯涌出参数.

Based on Langmuir equation, Darcy＇s law and mass Conservation law, a mathematical model of gas emission of coal wall was developed, and dimensionless model of gas emission was studied via introducing dimensionless parameters. The Vasual Basic language was used to develop the numerical program. Distribution curves of dimensionless gas pressure and change curves of dimensionless gas flow rate and accumulative gas emission quantity of coal wall were obtained. Combining with calculation example, the paper expounds without application of dimensional parameters of the curve, for quick accurate to determine the actual wall provides a method for the gas emission parameters. Results show that according to the dimensionless parameter graphs, the actual gas emission parameters of coal wall can be determined accurately and quickly combined with the actual coal parameters.