Analytical solution for two-phase flow in a wellbore using the drift-flux model
Analytical solution for two-phase flow in a wellbore using the drift-flux model
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DOI：
10.1016/j.advwatres.2011.08.009
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发表时间：
2011-12
影响因子：
4.7
通讯作者：
L. Pan;S. Webb;C. Oldenburg
中科院分区：
文献类型：
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作者：
L. Pan;S. Webb;C. Oldenburg
本文采用漂移通量概念模型，给出了等温条件下井筒中稳态可压缩两相流的解析解。虽然只适用于高度理想化的系统，分析解决方案是有用的验证数值模拟能力，可以处理更复杂的系统，并可以在自己的权利，用于获得有关威尔斯的两相流过程的洞察力。通过求解稳态两相流的混合物动量方程，并假设两相是不混溶的，得到了解析解。这些解析解描述了井筒中两相流的稳态行为，包括受总质量流率、相质量分数和漂移速度（即，两相之间的滑动）。一个假设的CO2泄漏问题的解析解和数值解之间的密切匹配，以及从CO2生产井的现场数据表明，解析解是能够捕获的主要功能的稳态两相流通过一个开放的井筒，和相关的假设和简化是合理的许多实际系统。此外，我们证明了实用的分析解决方案，以评估如何在一口井中，CO2泄漏向上的CO2-水混合物的质量流率的井底压力。
This paper presents analytical solutions for steady-state, compressible two-phase flow through a wellbore under isothermal conditions using the drift flux conceptual model. Although only applicable to highly idealized systems, the analytical solutions are useful for verifying numerical simulation capabilities that can handle much more complicated systems, and can be used in their own right for gaining insight about two-phase flow processes in wells. The analytical solutions are obtained by solving the mixture momentum equation of steady-state, two-phase flow with an assumption that the two phases are immiscible. These analytical solutions describe the steady-state behavior of two-phase flow in the wellbore, including profiles of phase saturation, phase velocities, and pressure gradients, as affected by the total mass flow rate, phase mass fraction, and drift velocity (i.e., the slip between two phases). Close matching between the analytical solutions and numerical solutions for a hypothetical CO2leakage problem as well as to field data from a CO2production well indicates that the analytical solution is capable of capturing the major features of steady-state two-phase flow through an open wellbore, and that the related assumptions and simplifications are justified for many actual systems. In addition, we demonstrate the utility of the analytical solution to evaluate how the bottomhole pressure in a well in which CO2is leaking upward responds to the mass flow rate of CO2–water mixture.