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以富含CO2的天然气为研究对象,选偏差因子(Z)作为修正参数,结合基于质量、动量、能量守恒原理及传热学理论的预测井筒流体压力、温度分布的数学模型进行了计算,通过实验数据筛选出验证计算偏差因子(Z)的状态方程并得出适合于富含CO2气井参数计算的模型,计算表明PK状态方程适用于CO2含量小于40%的情况,并以实验数据为基础,通过数值插值方法,即三次样条插值计算出不同压力、温度下的偏差因子,最后通过建立模型计算了在不同管径、不同CO2含量、不同产量等情况下压力、温度、偏差因子在井筒中的分布情况,发现管径对各参数影响较小,CO2含量和产量对各参数有一定影响,进一步分析了流动气柱井筒各参数变化与地层传热等热平衡原理的相关规律.
Taking natural gas enriched in CO2 as the research object, the selected deviation factor (Z) is used as a correction parameter, combined with the mathematical model predicting wellbore pressure and temperature distribution based on mass, momentum, energy conservation and heat transfer theory, Experimental results show that the equation of state of PK is suitable for CO2 content of less than 40%. Based on the experimental data, the equation of state of deviation factor (Z) is validated and the model is fit for CO2 gas well. Through the numerical interpolation method, that is, cubic spline interpolation, the deviation factor under different pressures and temperatures is calculated. Finally, the pressure, temperature and deviation factors in different diameters, different CO2 contents, It is found that the diameter of pipe has little effect on each parameter, and the CO2 content and output have certain influence on each parameter. The related laws of the heat balance principle such as the change of parameters of flow gas column and the heat transfer of formation are further analyzed.