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

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

Abstract

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

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

CLC Number:

TE81

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.

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.

Figures/Tables 7

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

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

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

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

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

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

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