Online Measurement of Gas and Liquid Two-phase Flow Rates in Wet Gas Based on Dimensionless Pressure Loss Coefficient

doi:10.3901/JME.2025.20.174

Abstract

Abstract: Gas-liquid two-phase flow rates online measurement method in wet gas is proposed based on the differential pressure meter. The upstream-throat differential pressure and the upstream-downstream differential pressure of the two-phase flow through the cone meter were collected to reflect the gas and liquid flow rates. Firstly, the gas phase flow rate model was proposed based on the two-phase mass flow rate coefficient. Then the gas phase differential pressure loss conversion coefficient φ_g² and two-phase pressure loss ratio δ were analyzed, and the auxiliary correlations were established based on φ_g² and δ. The characteristics of the two auxiliary correlations were compared and analyzed, and the correlation based on δ was used for gas-liquid two-phase mass flow rates measurement. In the experiment, the relative error of the predicted gas mass flow rate is about ±5%, and that of the predicted liquid mass flow rate is about ±20%.

Key words: gas-liquid two-phase flow, Flow rates measurement, differential pressure signals, pressure loss ratio

CLC Number:

TK313

ZHANG Ying, LI Shanshan, SHAN Deke, SHI Yuan, BAI Bofeng. Online Measurement of Gas and Liquid Two-phase Flow Rates in Wet Gas Based on Dimensionless Pressure Loss Coefficient[J]. Journal of Mechanical Engineering, 2025, 61(20): 174-181.

References

[1] ASME. Wet gas flow metering guideline，MFC-19G-2008[R]. New York：The American Society of Mechanical Engineers，2008.
[2] FALCONE G，HEWITT G F，ALIMONTI C. Multiphase flow metering principles and applications [M]. Berkeley：Elsevier，2009.
[3] 桂捷，张春涛，郭风军，等. 苏里格气田柱塞气举井气液两相计量试验研究[J]. 石油机械，2022，50(3)：100-105. GUI Jie，ZHANG Chuntao，GUO Fengjun，et al. Experimental study on gas-liquid two-phase measurement of Plunge gas lift wells in Sulige gas field [J]. China Petroleum Machinery，2022，50(3)：100-105.
[4] 张胜飞，孙新革，苟燕，等. 流量控制器在SAGD技术中的应用现状及思考[J]. 石油学报，2021，42(10)：1395-1404. ZHANG Shengfei，SUN Xinge，GOU Yan，et al. Application status and thinking of flow control devices in SAGD[J]. Acta Petrolei Sinica，2021，42(10)：1395-1404.
[5] DAYEV Z，YULUYEV V. Invariant system for measuring the flow rate of wet gas on Coriolis flowmeters[J]. Flow Measurement and Instrumentation，2019，70：101653.
[6] XU Ying，YU Peining，ZHU Zicheng，et al. Over-reading modeling of the ultrasonic flow meter in wet gas measurement[J]. Measurement，2017，98：17-24.
[7] LI Shanshan，ZHENG Xuebo，ZHAO Fan，et al. Comparison of throttle devices to measure two-phase flowrates of wet gas with extremely-low liquid loading [J]. Flow Measurement and Instrumentation，2020，76：101840.
[8] HE Denghui，BAI Bofeng. Gas-liquid two phase flow with high GVF through a horizontal V-Cone throttle device [J]. International Journal of Multiphase Flow，2017，91：51-62.
[9] STEVEN R，KINNEY J. Horizontally installed 8”，0.6 beta ratio venturi meter wet natural gas flow response[C/CD]// 8th International Symposium on Fluid Flow Measurement. Colorado Springs，America，2012.
[10] MURDOCK J W. Two-phase flow measurement with Orifices [J]. Journal of Basic Engineering，1962，84：419-432.
[11] LIN Zonghu. Two-phase flow measurements with sharp-edged orifices[J]. International Journal of Multiphase Flow，1982，8(6)：683-693.
[12] JAMES R. Metering of steam-water two-phase flow by sharp-edged orifices[J]. Proceedings of the Institution of Mechanical Engineers，1965，180(1)：549-572.
[13] CHISHOLM D. Research note： Two-phase flow through sharp-edged orifices[J]. Journal of Mechanical Engineering Science，1977，19(3)：128-130.
[14] STEVEN R. Horizontally installed cone differential pressure meter wet gas flow performance[J]. Flow Measurement and Instrumentation，2009，20：152-167.
[15] LI Yuxing，WANG Jun，GENG Yanfeng. Study on wet gas online flow rate measurement based on dual slotted orifice plate[J]. Flow Measurement and Instrumentation，2009，20：168-173.
[16] ZHANG Fusheng，DONG Feng，TAN Chao. High GVF and low-pressure gas-liquid two-phase flow measurement based on dual-cone flowmeter[J]. Flow Measurement and Instrumentation，2010，21(3)：410-417.
[17] XU Ying，YUAN Chao，LONG Zhenghai，et al. Research the wet gas flow measurement based on dual-throttle device[J]. Flow Measurement and Instrumentation， 2013，34：68-75.
[18] 张强. 利用双差压式节流装置测量湿气[D]. 天津：天津大学，2008. ZHANG Qiang. Wet gas metering using double differential pressure flowmeter [D]. Tianjin：Tianjin University，2008.
[19] 贺登辉，张锋，曹洪贵，等. 基于单V锥节流装置的湿气气液流量在线测量[J]. 机械工程学报，2016， 52(8)：191-197. HE Denghui，ZHANG Feng，CAO Honggui，et al. Online measurement of gas and liquid flow rate in wet gas base on single V-cone throttle[J]. Journal of Mechanical Engineering，2016，52(8)：191-197.
[20] 郑学波. 节流管内气液两相流动特性及湿气流量测量方法研究[D]. 西安：西安交通大学，2021. ZHENG Xuebo. Gas-liquid two-phase flow in throttling pipes and wet gas flow rate metering method[D]. Xi’an：Xi’an Jiaotong University，2021.
[21] DE LEEUW R. Liquid correction of Venturi meter readings in wet gas flow[C/CD]//Proceedings of the 1997 North Sea Flow Measurement Workshop，London，UK：Energy Institute，1998.
[22] MONNI G，DE SALVE M，PANELLA B. Two-phase flow measurements at high void fraction by a Venturi meter[J]. Progress in Nuclear Energy，2014，77：167-175.
[23] HE Denghui，BAI Bofeng. Two-phase mass flow coefficient of V-Cone throttle device[J]. Experimental Thermal and Fluid Science，2014，57：77-85.
[24] MANDHANE J，GREGORY G，AZIZ K. A flow pattern map for gas-liquid flow in horizontal pipes[J]. International Journal of Multiphase Flow，1974，1(4)：537-553.