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引入真实气体拟压力 m(p),使气体在多孔介质中的流动微分方程能得到精确解。目前,确定真实压力与拟压力的数值关系的方法有四种:数值积分法,查图表法,曲线拟合法和“半解析”解法。本文导出的计算方法,是利用气体的压缩因子 Z 和气体的粘度比μ_r 的标准相关资料,用数学方法拟合出 p_r/(μ_r·Z)与对比温度 T_r 和对比压力 p_r 的关系式,代入真实气体拟压力的表达式,积分求得解析解的。解决了数值积分法求解速度慢的问题。本文还另外与两种数值积分法进行了45个点的比较,平均误差分别为+1.15％和-0.47％,均方差分别为3.21％和0.28％,最大误差小于7％。结果表明,这种方法简单可靠,计算速度快捷。应用范围为1.05≤T_r≤3.0,0≤p_r≤10。文后还附有计算机程序。
The pseudo-pressure m (p) of real gas is introduced so that the differential equation of flow in porous media can be solved exactly. At present, there are four ways to determine the numerical relationship between true pressure and quasi-pressure: numerical integration method, lookup chart method, curve fitting method and semi-analytical solution. The calculation method derived in this paper is to fit the relation between p_r / (μ_r · Z) and contrast temperature T_r and contrast pressure p_r by mathematic method using the standard correlation data of gas compression factor Z and gas viscosity ratio μ_r, Real gas pressure of the expression, the integral obtained analytic solution. Solve the numerical integration method to solve the problem of slow. In addition, this paper also compared 45 numerical points with two numerical integration methods, the average errors were + 1.15% and -0.47% respectively, the mean square deviations were 3.21% and 0.28% respectively, and the maximum error was less than 7%. The results show that this method is simple and reliable, and the calculation speed is fast. The range of application is 1.05≤T_r≤3.0, 0≤p_r≤10. After the text also accompanied by a computer program.