煤层甲烷等温吸附拟合模型

Isothermal adsorption model of coalbed methane

我国煤层气储量较为丰富,只有更好的了解等温吸附曲线,才能更好估计最大吸附量及采收率等。为了找到更为合适的拟合方程,对单层吸附理论的代表模型Langmuir方程和以微孔填充理论为基础的DR方程进行对比研究,并针对4种不同煤阶(Ro,max介于0.60%~3.18%)煤样吸附甲烷的数据进行了拟合。结果表明:对Langmuir方程中的VL,pL先计算后拟合,可以使两参数的物理意义更加准确,方程拟合更有意义;对DR方程中的V0进行计算,能够提高其他参数拟合的准确性;对DR方程中的p0,引用虚拟饱和蒸气压的概念,并对比5种计算方法,得出Amankwah法最为合适。通过对比Langmuir和DR方程发现,DR方程的拟合效果更好,与实际数据更接近。

China is relatively rich in coalbed methane.A better estimation of maximum adsorption capacity and recovery ratio is based on a better understanding of isothermal adsorption curve.This paper is going to make a comparative study on Langmuir equation,the representative theory of monolayer adsorption theory,and DR equation,which is based on micropore filling theory on an attempt to find a more suitable model fitting equation.Data of the coal sample from four different coal ranks(Ro,maxfrom 0.60% to 3.18%) are fitted.The result shows that VLand pLwould be more accurate in physical significance and the equation fitting would be more meaningful if the two parameters are calculated before fitted; the accuracy of other parameters is improved while V0 in DR equation is calculated; and Amankwah method is the most suitable method for calculating p0 after a comparison of five calculation methods by introducing the concept of virtual saturated vapor pressure.DR equation works better in fitting effect and comes nearer to the actual data after a comparison between Langmuir and DR equation.