基于双差压模型的文丘里管气液两相CO2流量测量

doi:10.11949/0438-1157.20240828

摘要/Abstract

摘要：

为了实现碳捕集、利用与封存条件下CO₂管道输送流量的准确测量，在液相为连续相的CO₂气液两相流工况下，基于虚高模型提出了一种利用文丘里管收缩段和扩张段差压比值的气液两相CO₂流量测量方法。通过理论分析与实验验证，揭示了差压比值与Lockhart-Martinelli（L-M）参数及液相虚高之间的对应规律。针对经典模型存在的问题，提出了一种使用迭代方法计算液气质量流量比的模型，实现了CO₂气液两相流分相流量的准确测量。在管道压力为4.9~5.2 MPa，温度为14~17℃，液气质量流量比在8.78~28.85的条件下，总质量流量测量相对误差优于±2.3%，液相流量相对误差优于±2.2%，气相流量相对误差优于±6.3%。结果表明基于双差压模型的文丘里流量计为气液两相CO₂流量测量提供了一种简单可靠、经济实用的解决方案。

关键词: 碳捕集、利用与封存, 二氧化碳, 仪表, 气液两相流, 文丘里管

Abstract:

To achieve accurate flow measurement of CO₂ in pipeline transportation under carbon capture, utilization, and storage conditions, during which liquid phase is the primary phase in the gas-liquid two-phase CO₂, a flow measurement method using the differential pressure ratio from the contraction and expansion sections of a Venturi tube is proposed for gas-liquid two-phase CO₂ flow based on the over-reading model. Through theoretical analysis and experimental verification, the corresponding law between the differential pressure ratio and the Lockhart-Martinelli (L-M) parameter and the virtual height of the liquid phase is revealed. A model for the iterative calculation of the liquid-gas mass flow ratio is proposed, which can address issues in the classical models and enable accurate liquid and gas phase flow measurement of gas-liquid two-phase CO₂. Under conditions of the pressure in pipeline ranging from 4.9 MPa to 5.2 MPa, temperature changing from 14℃ to 17℃, and liquid-gas mass flow ratio between 8.78 and 28.85, the relative error of total mass flow rate is within ±2.3%, the relative error of liquid phase mass flow rate is within ±2.2% and the relative error of gas phase mass flow rate is within ±6.3%. The results prove that the Venturi flowmeter based on dual differential pressure model provides simple, reliable and economic solution for the flow measurement of gas-liquid two-phase CO₂.

Key words: carbon capture, utilization and storage, carbon dioxide, instrumentation, gas-liquid two-phase flow, Venturi tube

中图分类号:

TH 814

张翼辰, 张文彪, 李浩洋, 宁晓阳. 基于双差压模型的文丘里管气液两相CO₂流量测量[J]. 化工学报, 2025, 76(4): 1493-1503.

Yichen ZHANG, Wenbiao ZHANG, Haoyang LI, Xiaoyang NING. Flow measurement of gas-liquid two-phase CO₂ using Venturi tube based on dual differential pressure model[J]. CIESC Journal, 2025, 76(4): 1493-1503.

图/表 19

图1 双差压测量模型示意图

Fig.1 Schematic diagram of dual differential pressure measurement model

图2 1/X与K的关系

Fig.2 Relationship between K and 1/X

图3 1/X与K1的关系

Fig.3 Relationship between K1 and 1/X

图4 液相虚高的迭代计算流程图

Fig.4 Flowchart for iterative computation of ϕl

图5 文丘里管实物图

Fig.5 Photo of Venturi tube

图6 气液两相CO2实验装置示意图

Fig.6 Schematic of the flow rig for gas-liquid two-phase CO2

图7 (a)高速摄像系统；(b)水平管道气液两相CO2流型图像

Fig.7 (a) High-speed imaging system; (b) Image of flow pattern from gas-liquid two-phase CO₂ flow in the horizontal pipeline

图8 液相虚高与K的关系

Fig.8 Relationship between K and ϕl

图9 液相虚高与1/X的关系

Fig.9 Relationship between1/X and ϕl

图10 液气质量流量比与K的关系

Fig.10 Relationship between Wl /Wg and K

图11 液相虚高计算结果

Fig.11 Calculation results of ϕl

图12 液相Froude数计算结果

Fig.12 Calculation results of Frl

图13 液气质量流量比模型计算结果

Fig.13 Calculation results of Wg /Wl model

表1 不同流量测量模型中使用的参数

Table 1 Parameters used in different flow measurement models

模型	经验参数
模型	A	b	c
Collins模型	0.331	0.852	0.571
De Leeuw模型	0.123	—	—
张宏建模型	0.824	0.869	0.021
Steven模型	A_Ste=2454.465(1/r)²-389.709(1/r)+17.873
	B_Ste=61.479(1/r)²-8.810(1/r)+1.222
	C_Ste=1722.977(1/r)²-272.71(1/r)+12.328
	D_Ste=57.718(1/r)²-6.692(1/r)+1.571

表2 不同工况下双差压模型的相对误差

Table 2 Relative error of dual differential pressure model under different conditions

液相质量流量/

(kg/s)

气相质量流量/

(kg/s)

温度/℃

压力/MPa

1/X

气相质量流量的

相对误差/%

液相质量流量的

相对误差/%

图14 不同模型在测量气相、液相以及总质量流量时的NRMSE

Fig.14 NRMSE of different models in measuring gas phase, liquid phase, and total mass flow rate

图15 不同模型测量气相质量流量的相对误差

Fig.15 Relative error of different models in measuring gas mass flow rate

图16 不同模型测量液相质量流量的相对误差

Fig.16 Relative error of different models in measuring liquid mass flow rate

图17 不同模型测量总质量流量的相对误差

Fig.17 Relative error of different models in measuring total mass flow rate

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基于双差压模型的文丘里管气液两相CO₂流量测量

Flow measurement of gas-liquid two-phase CO₂ using Venturi tube based on dual differential pressure model

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