煤层甲烷等温吸附拟合模型

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。

Isothermal adsorption model of coalbed methane

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,max from 0.60% to 3.18%) are fitted.The result shows that VL and pL would 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.