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为简单、准确地测定和计算煤粒瓦斯扩散系数,依据相似理论,从扩散方程中推导出相似准数,建立该相似准数与解吸率的回归关系式,以此代替扩散第二定律在第一边界条件下的解析解,进而提出煤粒瓦斯扩散系数的计算方法。在此基础上,设计煤粒瓦斯扩散系数测定系统,并测定不同时刻、压力条件下的煤粒瓦斯扩散系数。最后,结合试验数据将新方法与其他煤粒瓦斯扩散系数计算方法进行对比。结果表明,煤粒瓦斯扩散系数是时间的函数,初期迅速减小,随后趋于稳定,扩散系数与时间关系符合负幂指数变化规律。通过对比表明,新方法可以弥补简化计算对结果造成的影响,且简便、可靠。
In order to simply and accurately measure and calculate the gas diffusion coefficient of coal particles and deduce a similar standard number from the diffusion equation according to the similarity theory and establish the regression equation between the similar standard number and the desorption rate, An analytical solution of the boundary conditions, and then put forward the calculation method of coal gas diffusion coefficient. On this basis, the system of determining the gas diffusion coefficient of coal particles is designed and the gas diffusion coefficient of coal particles at different time and pressure is determined. Finally, the new method is compared with the calculation method of gas diffusion coefficient of coal particles based on the experimental data. The results show that the gas diffusion coefficient of coal particles is a function of time, decreases rapidly initially and then tends to be stable. The relationship between diffusion coefficient and time is in accordance with the change rule of negative exponent. The comparison shows that the new method can make up for the inconvenience caused by the simplified calculation and is simple and reliable.