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基于立方型状态方程形式及数值算法,采用数值计算方法中的牛顿法、线性插值法、二次插值法、多重迭代法进行立方型状态方程的显式化公式推导,将PR气体状态方程进行简化和验证,提出了显式化PR气体状态方程。该方程无需迭代,形式简单,既可以采用手工计算,也可以采用电子表格或任意编程语言计算,明显降低了对化工或油气专业人员计算机编程及数值算法等水平的要求。使用上百组数据对计算结果的精确度和计算时间进行验证,结果表明:与迭代方法相比,显式化PR气体状态方程计算简单,相对误差控制在10-5之内,计算时间仅是迭代算法的1/10,有利于提高天然气管网的模拟计算效率。
Based on cubic form of state equation and numerical algorithm, the formula of cubic equation of state was deduced by Newton method, linear interpolation method, quadratic interpolation method and multiple iteration method in numerical calculation method to simplify PR equation of state of gas And verify that the explicit PR gas state equation is proposed. The equation does not require iteration and has the simple form of calculation. It can be calculated manually or in spreadsheet or any programming language. It significantly reduces the requirements of chemical or oil and gas professionals in computer programming and numerical algorithms. Using hundreds of sets of data to verify the accuracy and calculation time of the calculation results, the results show that compared with the iterative method, the equation of explicit PR gas state is simple, the relative error is controlled within 10-5, and the calculation time is only One-tenth of the iterative algorithm helps to improve the simulation efficiency of natural gas pipelines.