适用于超临界/密相二氧化碳管输的稳态水力热力耦合计算模型

doi:10.16085/j.issn.1000-6613.2024-1964

化工进展 ›› 2025, Vol. 44 ›› Issue (8): 4701-4708.DOI: 10.16085/j.issn.1000-6613.2024-1964

• 过程系统工程的模拟与仿真 • 上一篇

适用于超临界/密相二氧化碳管输的稳态水力热力耦合计算模型

王梓丞¹(), 张海帆¹, 袁鹏¹, 孙晨², 邹炜杰², 李欣泽²^,³(), 邢晓凯²^,³

^1.中国石油新疆油田公司采油工艺研究院(监理公司)，新疆克拉玛依 834000
^2.中国石油大学(北京)克拉玛依校区工学院，新疆克拉玛依 834000
^3.新疆多介质管道安全输送重点实验室，新疆乌鲁木齐 830011

收稿日期:2024-11-29 修回日期:2024-12-24 出版日期:2025-08-25 发布日期:2025-09-08
通讯作者: 李欣泽
作者简介:王梓丞（1989—），男，硕士，高级工程师，研究方向为油气田地面工艺技术。E-mail：wangzicheng@petrochina.com.cn。
基金资助:
新疆维吾尔自治区自然科学基金(2023D01A19);新疆维吾尔自治区“天池英才”引进计划(TCYC12);新疆维吾尔自治区天山创新团队项目(2022TSYCTD0002);新疆维吾尔自治区“一事一议”引进战略人才项目(XQZX20240054);中国石油天然气股份有限公司新疆油田分公司项目(2024XJZX0806)

Coupled hydraulic-thermal calculation model of supercritical/ dense-phase CO₂ steady-state pipeline transportation

WANG Zicheng¹(), ZHANG Haifan¹, YUAN Peng¹, SUN Chen², ZOU Weijie², LI Xinze²^,³(), XING Xiaokai²^,³

^1.Oil Production Technology Research Institute (Supervision Company), Petro China Xinjiang Oilfield Company, Karamay 834000, Xinjiang, China
^2.School of Engineering, China University of Petroleum (Beijing) at Karamay, Karamay 834000, Xinjiang, China
^3.Xinjiang Key Laboratory of Multi-Medium Pipeline Safety Transportation, Urumqi 830011, Xinjiang, China

Received:2024-11-29 Revised:2024-12-24 Online:2025-08-25 Published:2025-09-08
Contact: LI Xinze

摘要/Abstract

摘要：

超临界/密相CO₂管道输送是当前国际上实现长距离、大规模碳运输最为安全且经济的方式。适用于超临界/密相CO₂的水力热力计算模型可为CO₂管道工艺设计参数选择及方案优选提供理论支撑。针对现有模型存在的不足，本文以考虑高程差的管道稳态连续性方程、运动方程和能量守恒方程为基础，采用PR（Peng-Robinson）状态方程计算CO₂物性参数，结合焓、熵、温度、压力、密度的热力学关系式，通过提出合理假设条件，全面联立运动方程和能量方程，推导建立了一维非等温超临界/密相CO₂管道稳态输送水力热力耦合计算模型。本文分别通过实验和OLGA软件从多个方面验证了模型具有较高的精度。该模型简洁易用，避免了烦琐复杂且耗时耗力的数值求解过程，大幅降低了计算难度，可为超临界/密相CO₂管道输送工艺仿真软件国产化提供理论与技术支持。

关键词: 超临界CO₂, 管道输送, 稳态, 水力热力耦合, 密相

Abstract:

Supercritical/dense-phase CO₂ pipeline transportation is the safest and most economical way to realize long-distance and large-scale carbon transportation in the world. The hydraulic-thermal calculation model for supercritical/dense-phase CO₂ can provide theoretical support for the selection of CO₂ pipeline process design parameters and program selection. Aiming at the deficiencies of the existing models, this paper takes the pipeline steady-state continuity equation, equation of motion and energy conservation equation considering the elevation difference as the basis, adopts the PR equation of state to calculate the physical parameters of CO₂, combines the thermodynamic equations of enthalpy, entropy, temperature, pressure, and density, and deduces and establishes a one-dimensional non-isothermal supercritical/dense-phase CO₂ pipeline steady-state transport hydraulic-thermal calculation model by putting forward reasonable assumptions, and comprehensively associating the equations of motion and energy equations. The model is verified by experiments and OLGA software in various aspects with high accuracy. It is simple and easy to use, which avoids the complicated and time-consuming numerical solution process and greatly reduces the computational difficulty. It can provide theoretical support and technical support for the localization of the simulation software for supercritical/dense-phase CO₂ pipeline transport process.

Key words: supercritical CO₂, pipeline transportation, steady-state, hydraulic-thermal coupling, dense-phase

中图分类号:

TE81

王梓丞, 张海帆, 袁鹏, 孙晨, 邹炜杰, 李欣泽, 邢晓凯. 适用于超临界/密相二氧化碳管输的稳态水力热力耦合计算模型[J]. 化工进展, 2025, 44(8): 4701-4708.

WANG Zicheng, ZHANG Haifan, YUAN Peng, SUN Chen, ZOU Weijie, LI Xinze, XING Xiaokai. Coupled hydraulic-thermal calculation model of supercritical/ dense-phase CO₂ steady-state pipeline transportation[J]. Chemical Industry and Engineering Progress, 2025, 44(8): 4701-4708.

图/表 7

表1 不同相态CO2焦耳-汤姆逊效应系数经验公式[25]

经验公式	选用状态方程	适用相态	决定系数R²
$D i = 14.52 - 0.09742 T - 0.124 p$	PR方程	气态	0.973
$D i = 0.1304 + 0.177 T - 0.1685 p - 0.02027 T p + 0.02263 p 2 + 0.0006519 T p 2 - 0.0008059 p 3$	MBWR方程	液态	0.9759
$D i = 75.7 - 0.5391 T - 16.26 p + 0.02749 T 2 - 0.04938 T p + 1.313 p 2 - 0.0003516 T 3 + 0.001404 T 2 p - 0.003938 T p 2 - 0.02815 p 3$	LKP（Lee-Kesler-Plocker）方程	超临界态	0.9827

表1 不同相态CO2焦耳-汤姆逊效应系数经验公式[25]

经验公式	选用状态方程	适用相态	决定系数R²
$D i = 14.52 - 0.09742 T - 0.124 p$	PR方程	气态	0.973
$D i = 0.1304 + 0.177 T - 0.1685 p - 0.02027 T p + 0.02263 p 2 + 0.0006519 T p 2 - 0.0008059 p 3$	MBWR方程	液态	0.9759
$D i = 75.7 - 0.5391 T - 16.26 p + 0.02749 T 2 - 0.04938 T p + 1.313 p 2 - 0.0003516 T 3 + 0.001404 T 2 p - 0.003938 T p 2 - 0.02815 p 3$	LKP（Lee-Kesler-Plocker）方程	超临界态	0.9827

图1 管道沿线压力、温度和密度计算流程

表2 实验数据与方程计算数据对比

工况	入口压力/MPa	入口温度/℃	入口流量/kg·s^-1	实验压降/kPa	模型压降/kPa	压降误差/%	实验温降/℃	模型温降/℃	温降误差/%
1	8.1	32	0.42	52	55	5.8	0.25	0.27	8

表3 工程案例基本参数

参数	齐鲁石化-胜利油田密相CO₂管道	某规划超临界CO₂管道
管长/km	109	58
管径	DN300	DN250
流量/t·a^-1	170×10⁴	100×10⁴
首站出站压力/MPa	10	12
首站出站温度/℃	5	40
环境温度/℃	13	2

图2 某规划超临界CO2管道工程案例高程

图3 齐鲁石化-胜利油田密相CO2管道模型与OLGA软件压力和温度计算结果对比

图4 某规划超临界CO2管道模型与OLGA软件压力和温度计算结果对比

参考文献 25

[1]	匡立春, 邹才能, 黄维和, 等. 碳达峰碳中和愿景下中国能源需求预测与转型发展趋势[J]. 石油科技论坛, 2022, 41(1): 9-17.
	KUANG Lichun, ZOU Caineng, HUANG Weihe, et al. China’s energy demand projection and energy transition trends under carbon peak and carbon neutrality situation[J]. Petroleum Science and Technology Forum, 2022, 41(1): 9-17.
[2]	CHEN Wenhui, LU Xi, LEI Yalin, et al. A comparison of incentive policies for the optimal layout of CCUS clusters in China’s coal-fired power plants toward carbon neutrality[J]. Engineering, 2021, 7(12): 1692-1695.
[3]	胡其会, 李玉星, 张建, 等．“双碳”战略下中国CCUS技术现状及发展建议[J]. 油气储运, 2022, 41(4): 361-371.
	HU Qihui, LI Yuxing, ZHANG Jian, et al. Current status and development suggestions of CCUS technology in China under the“Double Carbon” strategy[J]. Oil & Gas Storage and Transportation, 2022, 41(4): 361-371.
[4]	黄维和, 李玉星, 陈朋超. 碳中和愿景下中国二氧化碳管道发展战略[J]. 天然气工业, 2023, 43(7): 1-9.
	HUANG Weihe, LI Yuxing, CHEN Pengchao. China’s CO₂ pipeline development strategy under the strategy of carbon neutrality[J]. Natural Gas Industry, 2023, 43(7): 1-9.
[5]	李海峰, 王强. CCUS中CO₂利用和地质封存研究[J]. 现代化工, 2022, 42(10): 86-90, 95．
	LI Haifeng, WANG Qiang. Study on utilization and geological storage of CO₂ in CCUS[J]. Modern Chemical Industry, 2022, 42(10): 86-90, 95.
[6]	LU Hongfang, MA Xin, HUANG Kun, et al. Carbon dioxide transport via pipelines: A systematic review[J]. Journal of Cleaner Production, 2020, 266: 121994.
[7]	郭克星, 闫光龙, 张阿昱, 等. CO₂捕集、利用与封存技术及CO₂管道研究现状与发展[J]. 天然气与石油, 2023, 41(1): 28-40.
	GUO Kexing, YAN Guanglong, ZHANG Ayu, et al. Status quo and development of the research on CO₂ capture, utilization and storage technology and CO₂ pipeline[J]. Natural Gas and Oil, 2023, 41(1): 28-40.
[8]	赵震宇, 姚舜, 杨朔鹏, 等. “双碳”目标下: 中国CCUS发展现状、存在问题及建议[J]. 环境科学, 2023, 44(2): 1128-1138.
	ZHAO Zhenyu, YAO Shun, YANG Shuopeng, et al. Under goals of carbon peaking and carbon neutrality: Status, problems, and suggestions of CCUS in China[J]. Environmental Science, 2023, 44(2): 1128-1138.
[9]	陆诗建, 张娟娟, 杨菲, 等. CO₂管道输送技术进展与未来发展浅析[J]. 南京大学学报（自然科学版）, 2022, 58(6): 944-952.
	LU Shijian, ZHANG Juanjuan, YANG Fei, et al. Progress and future development trend of CO₂ pipeline transportation technology[J]. Journal of Nanjing University Natural Science, 2022, 58(6): 944-952.
[10]	舒华文. 胜利油田百万吨级CCUS输注采关键工程技术[J]. 油气藏评价与开发, 2024, 14(1): 10-17, 41.
	SHU Huawen. Key engineering technologies of one-million-ton CCUS transportation-injection-extraction in Shengli Oilfield[J]. Petroleum Reservoir Evaluation and Development, 2024, 14(1): 10-17, 41.
[11]	徐冬, 刘建国, 王立敏, 等. CCUS中CO₂运输环节的技术及经济性分析[J].国际石油经济, 2021, 29(6): 8-16.
	XU Dong, LIU Jianguo, WANG Limin, et al. Technical and economic analysis on CO₂ transportation link in CCUS[J]. International Petroleum Economics, 2021, 29(6): 8-16.
[12]	PELETIRI S P, RAHMANIAN N, MUJTABA I. CO₂ pipeline design: A review[J]. Energies, 2018, 11(9): 2184.
[13]	工业和信息化部. 二氧化碳输送管道工程设计标准: [S]. 北京: 中国石化出版社, 2018.
	Ministry of Industry and Information Technology of the People’s Republic of China. Specification for engineering of carbon dioxide pipeline transportation: [S]. Beijing: China Petrochemical Press, 2018.
[14]	国家市场监督管理总局, 国家标准化管理委员会. 二氧化碳捕集、输送和地质封存管道输送系统: [S]. 北京: 中国标准出版社, 2023.
	State Administration for Maket Regulation, National Standardization Administration. Carbon dioxide capture, transportation and geological storage-pipeline transportation systems: [S]. Beijing: Standards Press of China, 2023.
[15]	吕家兴, 侯磊, 王玉江, 等．起伏地区超临界CO₂管道输送特性及管输工艺参数经济性研究[J]. 天然气化工(C1化学与化工), 2021, 46(1): 121-127．
	Jiaxing LYU, HOU Lei, WANG Yujiang, et al. Characteristics and economics of supercritical CO₂ pipeline transportation in undulating terrain[J]. Natural Gas Chemical Industry, 2021, 46(1): 121-127.
[16]	帕特里夏·西瓦姆, 凯马勒·K.布特罗斯, 布莱恩·罗希威尔, 等. 含杂质二氧化碳管道输送[M]. 赵帅，张建，李清芳，等，译.北京: 中国石化出版社, 2014.
	PARTRICIA Seevam, Botros KAMAL K, BRIAN Rothwell, et al. Pipeline transportation of carbon dioxide containing impurities[M]. ZHAO Shuai, ZHANG Jian, LI Qingfang, et al, trans. Beijing: China Petrochemical Press, 2014.
[17]	LUND Halvor, Tore FLÅTTEN, TOLLAK MUNKEJORD Svend. Depressurization of carbon dioxide in pipelines—Models and methods[J]. Energy Procedia, 2011, 4: 2984-2991.
[18]	MCCOY Sean T, RUBIN Edward S. An engineering-economic model of pipeline transport of CO₂ with application to carbon capture and storage[J]. International Journal of Greenhouse Gas Control, 2008, 2(2):219-229.
[19]	MOHITPOUR M, GOLSHAN H, MURRAY A. Pipeline design & construction: A practical approach[M]. 2nd ed. New York: The American Society of Mechanical Engineers, 2011: 654．
[20]	CHACZYKOWSKI Maciej, OSIADACZ Andrzej J. Dynamic simulation of pipelines containing dense phase/supercritical CO₂-rich mixtures for carbon capture and storage[J]. International Journal of Greenhouse Gas Control, 2012, 9: 446-456.
[21]	刘敏, 滕霖, 李玉星, 等. 适用于超临界CO₂管道输送的水力模型及特性研究[J]. 油气田地面工程, 2016, 35(6): 14-17.
	LIU Min, TENG Lin, LI Yuxing, et al. Study on hydraulic model and characteristics for supercritical CO₂ pipelines[J]. Oil-Gas Field Surface Engineering, 2016, 35(6): 14-17.
[22]	彭世垚, 贾启运, 李其抚, 等. 适用于超临界CO₂管道的稳态输送水力热力计算模型[J]. 天然气与石油, 2024, 42(2): 1-7.
	PENG Shiyao, JIA Qiyun, LI Qifu, et al. Hydraulic and thermal calculation model of supercritical CO₂ steady-state transportation[J]. Natural Gas and Oil, 2024, 42(2): 1-7.
[23]	欧阳欣, 李玉星, 路建鑫, 等. 超临界/密相CO₂管道流量波动瞬态仿真计算模型[J]. 油气储运, 2024, 43(11): 1231-1238.
	OUYANG Xin, LI Yuxing, LU Jianxin, et al. Transient simulation model for flow fluctuation in supercritical/dense CO₂ pipeline[J]. Oil & Gas Storage and Transportation, 2024, 43(11): 1231-1238.
[24]	李玉星, 姚光镇. 输气管道设计与管理[M]. 2版. 东营: 中国石油大学出版社, 2009.
	LI Yuxing, YAO Guangzhen. Design and management of gas transmission pipeline[M]. 2nd ed. Dongying: China University of Petroleum Press, 2009.
[25]	张大同, 滕霖, 李玉星, 等. 管输CO₂焦耳-汤姆逊系数计算方法[J]. 油气储运, 2018, 37(1): 35-39.
	ZHANG Datong, TENG Lin, LI Yuxing, et al. A calculation method for Joule-Thomson coefficient of pipeline CO₂ [J]. Oil & Gas Storage and Transportation, 2018, 37(1): 35-39.

适用于超临界/密相二氧化碳管输的稳态水力热力耦合计算模型

Coupled hydraulic-thermal calculation model of supercritical/ dense-phase CO₂ steady-state pipeline transportation

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适用于超临界/密相二氧化碳管输的稳态水力热力耦合计算模型

Coupled hydraulic-thermal calculation model of supercritical/ dense-phase CO2 steady-state pipeline transportation

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Coupled hydraulic-thermal calculation model of supercritical/ dense-phase CO₂ steady-state pipeline transportation