煤粒瓦斯扩散的数值解法

    Numerical Method for Gas Diffusion of Coal Particles

    • 摘要: 针对煤粒瓦斯扩散的解析解法存在的问题,推导了单孔扩散模型的数值解表达式,提出煤粒瓦斯扩散的数值解法,同时对比分析了解析解与数值解结果的差异性。分析认为:解析解法仅适用于分析定压扩散实验和球形煤粒,其采用的线性吸附假设也与真实瓦斯吸附规律相违背;数值解法考虑了瓦斯吸附常数、煤体孔隙率和温度等真实煤体参数与外界条件,因此具备一定的优越性;在相同瓦斯扩散系数条件下,解析解法计算的煤层瓦斯扩散速率相较数值解较小;如果通过煤粒瓦斯扩散实验结果反算瓦斯扩散系数,传统的解析解法可能会高估煤层的真实瓦斯扩散系数。

       

      Abstract: For the problems of analytical method for gas diffusion of coal particles, we deduce the numerical expression of single diffusion model and propose numerical method of gas diffusion coefficient of coal particles. The difference of result between analytical solution and numerical method is discussed. Result shows that the traditional analytical solution is only suitable for analyzing constant pressure diffusion test result and sphere coal particle, the linear adsorption assumption also runs counter to the real law of gas adsorption. The numerical method considers the real parameters of coal and the external environment, such as adsorption constant, coal porosity and temperature. In this regard, the numerical method can reflect the real diffusion process better. With the same diffusion coefficient, the calculated diffusion ratio by analytical solution is smaller than that of numerical method. If the result of diffusion test on coal particles is used to back-calculate the diffusion coefficient, the analytical method may overestimate the real diffusion coefficient of methane in coal seams.

       

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