Gas Composition Tracking in a Transient Pipeline Using the Method of Characteristics

Da Qi; Changchun Wu; Zhe Liu; Lili Zuo

doi:doi:10.11648/j.ajee.20241202.12

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Gas Composition Tracking in a Transient Pipeline Using the Method of Characteristics

Da Qi

, Changchun Wu^*

, Zhe Liu

, Lili Zuo

Published in American Journal of Energy Engineering (Volume 12, Issue 2)

Received: 6 May 2024 Accepted: 17 June 2024 Published: 19 June 2024

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Abstract

For a gas pipeline with multiple gas sources, the significance of tracking the composition of natural gas is increasing with the implementation of X+1+X system for the natural gas industry in China. Mathematically, the tracking problem is usually described by a system of partial differential equations (PDEs). The continuity equation on gas composition has been developed to track natural gas composition according to the law of mass conservation. The algorithm resulting from the method of characteristics (MOC) is proposed to solve the system of PDEs. Compared to the original MOC, numerical solutions of the continuity equation on gas composition are obtained after the hydraulic calculation and thermal calculation. Moreover, different combinations of boundary conditions for the MOC are derived, which could expand the range of application of the MOC and be applicable to various operating conditions. The heating values of diverse gas sources have been determined following the methods documented in ISO 6976:2016. The case study of a gas pipeline in China verified the validity of the algorithm via the commercial simulation software Pipeline Studio for Gas (TGNET). The heating value and gas composition obtained by the algorithm can be used in the custody transfer metering of natural gas pipelines for Class B and C metering stations described in GB/T 18603−2014.

Published in	American Journal of Energy Engineering (Volume 12, Issue 2)
DOI	10.11648/j.ajee.20241202.12
Page(s)	32-42
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Gas Composition Tracking, MOC, Combination of Boundary Conditions, Heating Value, Step Marching Method

References

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APA Style

Qi, D., Wu, C., Liu, Z., Zuo, L. (2024). Gas Composition Tracking in a Transient Pipeline Using the Method of Characteristics. American Journal of Energy Engineering, 12(2), 32-42. https://doi.org/10.11648/j.ajee.20241202.12

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ACS Style

Qi, D.; Wu, C.; Liu, Z.; Zuo, L. Gas Composition Tracking in a Transient Pipeline Using the Method of Characteristics. Am. J. Energy Eng. 2024, 12(2), 32-42. doi: 10.11648/j.ajee.20241202.12

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AMA Style

Qi D, Wu C, Liu Z, Zuo L. Gas Composition Tracking in a Transient Pipeline Using the Method of Characteristics. Am J Energy Eng. 2024;12(2):32-42. doi: 10.11648/j.ajee.20241202.12

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@article{10.11648/j.ajee.20241202.12,
  author = {Da Qi and Changchun Wu and Zhe Liu and Lili Zuo},
  title = {Gas Composition Tracking in a Transient Pipeline Using the Method of Characteristics
},
  journal = {American Journal of Energy Engineering},
  volume = {12},
  number = {2},
  pages = {32-42},
  doi = {10.11648/j.ajee.20241202.12},
  url = {https://doi.org/10.11648/j.ajee.20241202.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajee.20241202.12},
  abstract = {For a gas pipeline with multiple gas sources, the significance of tracking the composition of natural gas is increasing with the implementation of X+1+X system for the natural gas industry in China. Mathematically, the tracking problem is usually described by a system of partial differential equations (PDEs). The continuity equation on gas composition has been developed to track natural gas composition according to the law of mass conservation. The algorithm resulting from the method of characteristics (MOC) is proposed to solve the system of PDEs. Compared to the original MOC, numerical solutions of the continuity equation on gas composition are obtained after the hydraulic calculation and thermal calculation. Moreover, different combinations of boundary conditions for the MOC are derived, which could expand the range of application of the MOC and be applicable to various operating conditions. The heating values of diverse gas sources have been determined following the methods documented in ISO 6976:2016. The case study of a gas pipeline in China verified the validity of the algorithm via the commercial simulation software Pipeline Studio for Gas (TGNET). The heating value and gas composition obtained by the algorithm can be used in the custody transfer metering of natural gas pipelines for Class B and C metering stations described in GB/T 18603−2014.
},
 year = {2024}
}

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TY  - JOUR
T1  - Gas Composition Tracking in a Transient Pipeline Using the Method of Characteristics

AU  - Da Qi
AU  - Changchun Wu
AU  - Zhe Liu
AU  - Lili Zuo
Y1  - 2024/06/19
PY  - 2024
N1  - https://doi.org/10.11648/j.ajee.20241202.12
DO  - 10.11648/j.ajee.20241202.12
T2  - American Journal of Energy Engineering
JF  - American Journal of Energy Engineering
JO  - American Journal of Energy Engineering
SP  - 32
EP  - 42
PB  - Science Publishing Group
SN  - 2329-163X
UR  - https://doi.org/10.11648/j.ajee.20241202.12
AB  - For a gas pipeline with multiple gas sources, the significance of tracking the composition of natural gas is increasing with the implementation of X+1+X system for the natural gas industry in China. Mathematically, the tracking problem is usually described by a system of partial differential equations (PDEs). The continuity equation on gas composition has been developed to track natural gas composition according to the law of mass conservation. The algorithm resulting from the method of characteristics (MOC) is proposed to solve the system of PDEs. Compared to the original MOC, numerical solutions of the continuity equation on gas composition are obtained after the hydraulic calculation and thermal calculation. Moreover, different combinations of boundary conditions for the MOC are derived, which could expand the range of application of the MOC and be applicable to various operating conditions. The heating values of diverse gas sources have been determined following the methods documented in ISO 6976:2016. The case study of a gas pipeline in China verified the validity of the algorithm via the commercial simulation software Pipeline Studio for Gas (TGNET). The heating value and gas composition obtained by the algorithm can be used in the custody transfer metering of natural gas pipelines for Class B and C metering stations described in GB/T 18603−2014.

VL  - 12
IS  - 2
ER  -

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Author Information

Da Qi

National Engineering Laboratory of Pipeline Safety, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum-Beijing, Beijing, China

Contact Email

http://orcid.org/0009-0002-3426-9529
Changchun Wu

National Engineering Laboratory of Pipeline Safety, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum-Beijing, Beijing, China

Contact Email

http://orcid.org/0009-0001-6704-7044
Zhe Liu

Nanjing Metrology Research Center of West-East Gas Pipeline Company, Nanjing, China

Contact Email

http://orcid.org/0009-0007-6279-7659
Lili Zuo

National Engineering Laboratory of Pipeline Safety, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum-Beijing, Beijing, China

Contact Email

http://orcid.org/0000-0002-3272-5124

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Plain Text BibTeX RIS

APA Style

Qi, D., Wu, C., Liu, Z., Zuo, L. (2024). Gas Composition Tracking in a Transient Pipeline Using the Method of Characteristics. American Journal of Energy Engineering, 12(2), 32-42. https://doi.org/10.11648/j.ajee.20241202.12

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ACS Style

Qi, D.; Wu, C.; Liu, Z.; Zuo, L. Gas Composition Tracking in a Transient Pipeline Using the Method of Characteristics. Am. J. Energy Eng. 2024, 12(2), 32-42. doi: 10.11648/j.ajee.20241202.12

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AMA Style

Qi D, Wu C, Liu Z, Zuo L. Gas Composition Tracking in a Transient Pipeline Using the Method of Characteristics. Am J Energy Eng. 2024;12(2):32-42. doi: 10.11648/j.ajee.20241202.12

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@article{10.11648/j.ajee.20241202.12,
  author = {Da Qi and Changchun Wu and Zhe Liu and Lili Zuo},
  title = {Gas Composition Tracking in a Transient Pipeline Using the Method of Characteristics
},
  journal = {American Journal of Energy Engineering},
  volume = {12},
  number = {2},
  pages = {32-42},
  doi = {10.11648/j.ajee.20241202.12},
  url = {https://doi.org/10.11648/j.ajee.20241202.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajee.20241202.12},
  abstract = {For a gas pipeline with multiple gas sources, the significance of tracking the composition of natural gas is increasing with the implementation of X+1+X system for the natural gas industry in China. Mathematically, the tracking problem is usually described by a system of partial differential equations (PDEs). The continuity equation on gas composition has been developed to track natural gas composition according to the law of mass conservation. The algorithm resulting from the method of characteristics (MOC) is proposed to solve the system of PDEs. Compared to the original MOC, numerical solutions of the continuity equation on gas composition are obtained after the hydraulic calculation and thermal calculation. Moreover, different combinations of boundary conditions for the MOC are derived, which could expand the range of application of the MOC and be applicable to various operating conditions. The heating values of diverse gas sources have been determined following the methods documented in ISO 6976:2016. The case study of a gas pipeline in China verified the validity of the algorithm via the commercial simulation software Pipeline Studio for Gas (TGNET). The heating value and gas composition obtained by the algorithm can be used in the custody transfer metering of natural gas pipelines for Class B and C metering stations described in GB/T 18603−2014.
},
 year = {2024}
}

Copy | Download

TY  - JOUR
T1  - Gas Composition Tracking in a Transient Pipeline Using the Method of Characteristics

AU  - Da Qi
AU  - Changchun Wu
AU  - Zhe Liu
AU  - Lili Zuo
Y1  - 2024/06/19
PY  - 2024
N1  - https://doi.org/10.11648/j.ajee.20241202.12
DO  - 10.11648/j.ajee.20241202.12
T2  - American Journal of Energy Engineering
JF  - American Journal of Energy Engineering
JO  - American Journal of Energy Engineering
SP  - 32
EP  - 42
PB  - Science Publishing Group
SN  - 2329-163X
UR  - https://doi.org/10.11648/j.ajee.20241202.12
AB  - For a gas pipeline with multiple gas sources, the significance of tracking the composition of natural gas is increasing with the implementation of X+1+X system for the natural gas industry in China. Mathematically, the tracking problem is usually described by a system of partial differential equations (PDEs). The continuity equation on gas composition has been developed to track natural gas composition according to the law of mass conservation. The algorithm resulting from the method of characteristics (MOC) is proposed to solve the system of PDEs. Compared to the original MOC, numerical solutions of the continuity equation on gas composition are obtained after the hydraulic calculation and thermal calculation. Moreover, different combinations of boundary conditions for the MOC are derived, which could expand the range of application of the MOC and be applicable to various operating conditions. The heating values of diverse gas sources have been determined following the methods documented in ISO 6976:2016. The case study of a gas pipeline in China verified the validity of the algorithm via the commercial simulation software Pipeline Studio for Gas (TGNET). The heating value and gas composition obtained by the algorithm can be used in the custody transfer metering of natural gas pipelines for Class B and C metering stations described in GB/T 18603−2014.

VL  - 12
IS  - 2
ER  -

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