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天然气超临界水露点曲线的数值计算

Numerical calculation of supercritical water dew point curves for natural gas

  • 摘要:
    目的 对于天然气的闪蒸计算,超临界时由于双露点现象会导致水露点计算收敛到假解,通过数值分析并采用合适方法可避免收敛到假解,在单点闪蒸的基础上绘制超临界时的水露点曲线,为天然气开采、运输的设计和生产提供操作指导。
    方法 水露点与天然气组成、操作压力是一种非线性的关系,通过彭−罗宾逊(Peng-Robinson,PR)立方型状态方程进行闪蒸计算可以准确地计算出水露点;结合热力学方程分析天然气的双露点现象,很多天然气的临界点不是相包络线的最高点,导致在超临界的部分区域也存在露点或者泡点,并且会形成双露点或者双泡点;采用数值方法避免收敛到假解,假解是由于超过临界压力的气液相压缩因子非单调性引起的,通过斜率限制避免数值计算收敛到假解;采用单变量迭代的方法计算水露点曲线,通过曲线的斜率自动选择温度或者压力作为自变量。
    结果 使用本研究的计算方法可以准确地绘制天然气超临界水露点曲线,并验证了天然气水露点与实际生产数据误差在2%以内。
    结论 超过临界压力后的水露点计算,通过分析压缩因子变化趋势,采用斜率限制可避免数值计算收敛到温度更低的假解。

     

    Abstract:
    Objective For the flash calculation of natural gas, the dual dew point phenomenon under supercritical conditions can cause the water dew point calculation to converge to a false solution, through numerical analysis and the adoption of appropriate methods to avoid convergence to false solutions. The water dew point curve under supercritical conditions is plotted based on single-point flash calculations. This provides operational guidance for the design and production of natural gas extraction and transportation.
    Method The water dew point has a nonlinear relationship with the natural gas composition and operating pressure. Flash calculations using Peng-Robinson (PR) cubic equations of state can accurately determine the water dew point; By combining thermodynamic equations to analyze the dual dew point phenomenon in natural gas, it is found that the critical point of many natural gases does not coincide with the highest point of the phase envelope. This results in the existence of dew points or bubble points in certain supercritical regions, ultimately leading to the formation of dual dew points or dual bubble points; Numerical methods are employed to avoid convergence to false solutions. These false solutions arise from the non-monotonic behavior of vapor-liquid compressibility factors beyond the critical pressure. Slope restriction is used to prevent the numerical calculation from converging to these false solutions; The water dew point curve is calculated using a single-variable iteration method, where the slope of the curve is used to automatically select either temperature or pressure as the independent variable.
    Result Using the calculation method developed in this study, the supercritical water dew point curve of natural gas can be accurately plotted. The results show that the error between the calculated natural gas water dew point and actual production data is within 2%.
    Conclusion For water dew point calculations beyond the critical pressure, by analyzing the trend of compressibility factor changes and adopting slope restriction, convergence of the numerical calculation to a lower-temperature false solution can be avoided.

     

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