考虑中间节点的碳捕集管路系统设计与优化

doi:10.16085/j.issn.1000-6613.2022-1457

摘要/Abstract

摘要：

作为控制温室气体排放的重要技术之一，碳捕集与封存技术吸引了越来越多的关注。相比于传统生产系统，碳捕集与封存系统中的二氧化碳排放源与封存阱往往相距较远，妥善合理地规划两者之间二氧化碳的运输方式是确保系统高效运转的重要前提。而管道运输正是目前长距离、大规模输送二氧化碳最经济的方法。本文首先建立碳捕集中管路系统的数学模型；然后针对单周期问题，为使管路系统的项目总成本最小，分别得到不同碳捕集封存量要求下，无中间节点和有中间节点管路系统的最佳管网结构，并分析碳排放量变化对管路系统的影响；最后针对多周期问题，考虑在一个较长的项目规划期内，管路系统的总捕集封存量最大和项目总成本最小两种情景下，分别探究排放源的碳排放量、封存阱的封存容量和注入速率对有中间节点管路系统的管网结构、项目总成本以及源阱利用情况的影响。

关键词: 二氧化碳捕集, 过程系统, 优化, 优化设计

Abstract:

As one of the important technologies to control greenhouse gas emissions, Carbon Capture and Storage technology has attracted more and more attention. Compared with traditional production systems, carbon dioxide emission sources and sequestration sinks in Carbon Capture and Storage systems are often far away from each other. Transportation by pipeline is currently the most economical way to transport carbon dioxide over long distances on a large scale. In this paper, the mathematical model of the pipeline system for carbon capture was established. For the single-period problem, in order to minimize the total project cost of the pipeline system, the optimal pipe network structures of the pipeline system with and without intermediate nodes were obtained under different carbon capture and storage requirements, and the influence of variation of the carbon emissions on the pipeline system was analyzed as well. For the multi-period problem, considering in a long period of project planning, under the two scenarios of maximum total carbon capture and storage requirement and minimum total project cost of the pipeline system, the impacts of the carbon emissions of sources, injection rates and storage capacities of sinks on the optimal pipe network structures were explored.

Key words: CO₂ capture, process systems, optimization, optimal design

中图分类号:

TQ022.1

顾诗亚, 董亚超, 刘琳琳, 张磊, 庄钰, 都健. 考虑中间节点的碳捕集管路系统设计与优化[J]. 化工进展, 2023, 42(6): 2799-2808.

GU Shiya, DONG Yachao, LIU Linlin, ZHANG Lei, ZHUANG Yu, DU Jian. Design and optimization of pipeline system for carbon capture considering intermediate nodes[J]. Chemical Industry and Engineering Progress, 2023, 42(6): 2799-2808.

图/表 12

参考文献 32

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编号	排放量/kg·s^-1	封存容量/Mt	经度/(°)	纬度/(°)	x坐标/m	y坐标/m
a1	62.5	—	123.35	42.75	528655	4735007
a2	62.5	—	123.01	39.68	500858	4393999
a3	98.96	—	123.97	41.91	580484	4641727
a4	67.71	—	124.34	40.08	614303	4438717
a5	31.25	—	121.22	41.14	350553	4557649
a6	130.21	—	122.20	40.61	431874	4497575
a7	36.46	—	121.66	42.00	388979	4652506
a8	31.25	—	123.22	41.36	518409	4580577
a9	187.5	—	123.98	42.45	580194	4701540
a10	31.25	—	122.14	41.14	427797	4556478
a11	36.46	—	123.81	41.35	567788	4579760
a12	67.71	—	123.46	41.75	537842	4623986
a13	67.71	—	120.37	41.51	280005	4600569
a14	—	824.21	121.59	40.95	381278	4535978
a15	—	448.29	121.95	41.10	411376	4552216
a16	—	123.7	123.13	41.98	510774	4649424
a17	—	213.85	122.81	42.08	484282	4659987
a18	—	56.53	122.92	41.78	493349	4627204
a19	—	—	122.74	40.84	490545	4511684
a20	—	—	123.63	40.84	591236	4511684
a21	—	—	120.91	42.03	389854	4601321
a22	—	—	122.73	42.05	490545	4601321

编号	排放量/kg·s^-1	封存容量/Mt	经度/(°)	纬度/(°)	x坐标/m	y坐标/m
a1	62.5	—	123.35	42.75	528655	4735007
a2	62.5	—	123.01	39.68	500858	4393999
a3	98.96	—	123.97	41.91	580484	4641727
a4	67.71	—	124.34	40.08	614303	4438717
a5	31.25	—	121.22	41.14	350553	4557649
a6	130.21	—	122.20	40.61	431874	4497575
a7	36.46	—	121.66	42.00	388979	4652506
a8	31.25	—	123.22	41.36	518409	4580577
a9	187.5	—	123.98	42.45	580194	4701540
a10	31.25	—	122.14	41.14	427797	4556478
a11	36.46	—	123.81	41.35	567788	4579760
a12	67.71	—	123.46	41.75	537842	4623986
a13	67.71	—	120.37	41.51	280005	4600569
a14	—	824.21	121.59	40.95	381278	4535978
a15	—	448.29	121.95	41.10	411376	4552216
a16	—	123.7	123.13	41.98	510774	4649424
a17	—	213.85	122.81	42.08	484282	4659987
a18	—	56.53	122.92	41.78	493349	4627204
a19	—	—	122.74	40.84	490545	4511684
a20	—	—	123.63	40.84	591236	4511684
a21	—	—	120.91	42.03	389854	4601321
a22	—	—	122.73	42.05	490545	4601321

管路系统类型	捕集量要求	变量个数	约束个数	求解时间/s	迭代次数/次
无中间节点	无捕集封存量要求	346 （216）	572	0.253	232
	有总捕集封存量要求			0.382	463
	有源捕集封存量要求			0.422	601
有中间节点	无捕集封存量要求	762 （476）	1244	0.406	2132
	有总捕集封存量要求			0.765	3206
	有源捕集封存量要求			1.985	15629

管路系统类型	捕集量要求	变量个数	约束个数	求解时间/s	迭代次数/次
无中间节点	无捕集封存量要求	346 （216）	572	0.253	232
	有总捕集封存量要求			0.382	463
	有源捕集封存量要求			0.422	601
有中间节点	无捕集封存量要求	762 （476）	1244	0.406	2132
	有总捕集封存量要求			0.765	3206
	有源捕集封存量要求			1.985	15629

捕集量要求	无捕集封存量要求	有总捕集封存量要求	有源捕集封存量要求
1~17	6.25	13.00	25.00
2~15	6.25	13.00	25.00
3~16	9.90	21.79	39.24
4~18	6.77	13.54	27.08
5~14	3.13	7.50	12.20
6~15	13.02	25.04	52.08
7~17	3.65	7.29	16.00
8~18	3.13	6.75	12.20
9~16	18.75	37.50	75.00
10~15	3.13	6.75	12.20
11~18	3.65	7.50	15.79
12~16	6.77	13.54	27.08
13~14	6.77	13.54	27.08