Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline

Ubanozie Julian Obibuike; Anthony Kerunwa; Mathew Udechukwu; Remmy Chindu Eluagu; Anthony Chemazu Igbojionu; Stanley Toochukwu Ekwueme

doi:doi:10.11648/j.ogce.20200801.14

Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline

Ubanozie Julian Obibuike, Anthony Kerunwa, Mathew Udechukwu, Remmy Chindu Eluagu, Anthony Chemazu Igbojionu, Stanley Toochukwu Ekwueme

Published in International Journal of Oil, Gas and Coal Engineering (Volume 8, Issue 1)

Received: 30 December 2019 Accepted: 13 January 2020 Published: 10 February 2020

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Abstract

In this paper, a model is developed for the estimation of the pressure at the point of leak in a natural gas pipeline experiencing leak. The model is developed by comparing two equations developed for leak localization in natural gas pipeline corresponding to the upstream and the downstream sections of the pipeline respectively. The determination of the pressure at the point of leak which is the dominant parameter for the two models ensures the accuracy and equality of the two leak localization equation regardless of the section of the pipeline considered. The model for the point of leak develops helps to monitor pipeline pressure profile for the leak and the no leak case and helps to detect the exact point of leak in the pipeline depicted by the pressure reductions gotten by comparing the pressure profile of the no leak and the leaking pipeline cases. In the work three cases were considered. In each of the cases, the pressure at the point of leak were estimate with the corresponding location where the leak occurred. It is also realized as expected that the calculated pressures at the point of leak were lower than the expected pressures at the same point if the pipeline were not subject to leak. The results gotten show that the pressure at the point of leak for the three cases are 738 psi, 678.33 psi and 933.89 psi for case 1, case 2 and case 3 respectively. These pressure values occurred at locations 139.5 miles, 86.48 miles and 34.94 miles from the inlet point for case 1, case 2 and case 3 respectively.

Published in	International Journal of Oil, Gas and Coal Engineering (Volume 8, Issue 1)
DOI	10.11648/j.ogce.20200801.14
Page(s)	22-27
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

Leak Pressure, Natural Gas, Pressure Profile, Mathematical Modeling, Point of Leak

References

[1]	Ekwueme, S. T (2014). Model for pipeline leak detection in natural gas pipeline. Paper presented at the annual STCE paper presentation. Warri, Delta state.
[2]	Ekwueme, S. T (2014). A new mathematical model for pipeline leak detection in natural gas pipeline. Project submitted to Petroleum engineering Dept. FUTO.
[3]	Hanmer, G., Mora, V., Fábio C. G., Sergio L. (2018). Modelling of Rapid Transients in Natural Gas Pipelines. Paper prepared for presentation at the PSIG Annual Meeting held in Deer Valley, Utah.
[4]	Nicholas, E., Carpenter, P., Henrie, M., Hung, D., Kundert, C. (2017). A New Approach to Testing Performance of a Pipeline Leak Detection System. Paper prepared for presentation at the PSIG Annual Meeting held in Atlanta, Georgia, USA.
[5]	Hauge, E., Aamo, O. M., and Godhavn, J.-M. (2009): Model-Based Monitoring and Leak Detection in Oil and Gas Pipelines. SPE Proj Fac & Const 4 (3): 53–60. SPE-114218-PA.
[6]	Jin Mingang (2019). Investigation on Parameters Affecting the Performance of Negative Pressure Wave Leak Detection Systems. Paper prepared for presentation at the PSIG Annual Meeting held in London, England.
[7]	Balda Rivas, K. V. and Civan, F. (2013): Application of Mass Balance and Transient Flow Modeling for Leak Detection in Liquid Pipelines. Presented at the SPE Production and Operations Symposium, Oklahoma City, Oklahoma, USA, 23–26 March. SPE-164520-MS.
[8]	Elliott, J., Fletcher, R., and Wrigglesworth, M. (2008): Seeking the Hidden Threat: Applications of a New Approach in Pipeline Leak Detection. Presented at the Abu Dhabi International Petroleum Exhibition and Conference, Abu Dhabi, 3–6 November. SPE-118070-MS.
[9]	Zhang, J., Hoffman, A., Murphy, K., Lewis, J., Twomey, M. (1996). Review of pipeline leak detection technologies. Pipeline Simulation Interest Group.
[10]	Boaz, L., Kaijage, S. and Sinde, R. (2014). An overview of pipeline leak detection and location systems. Pan African International Conference on Information Science, Computing and Telecommunications, (pp. 133-136).
[11]	Ferrante, M., Brunone, B. and Meniconi, S. (2007). Wavelets for the analysis of transient pressure signals for leak detection. ASCE 133 (11), (pp. 1274–1282).
[12]	Gajbhiye, R. N. and Kam, S. I. (2008). Leak Detection in Subsea Pipeline: A Mechanistic Modeling Approach with Fixed Pressure Boundaries. Presented at the Offshore Technology Conference, Houston, 5–8 May. OTC-19347-MS.
[13]	Ghazali, M. F. (2012). Leak detection using instantaneous frequency analysis (PhD thesis), University of Sheffield, United Kingdom.
[14]	Obibuike Ubanozie Julian, Ekwueme Stanley Toochukwu, Ohia Nnaemeka Princewill, Igwilo Kevin Chinwuba, Onyejekwe Ifeanyi Michael, Igbojionu Anthony Chemazu. (2019). Analytical Model for the Estimation of Leak Location in Natural Gas Pipeline. International Journal of Oil, Gas and Coal Engineering. Vol. x, No. x, pp. x-x. doi: 10.11648/j.xxx.xxxxxxxx.xx.
[15]	Obibuike, U. J. (2019). Real Time Estimation of Leak Location in a Natural Gas Pipeline – A Fluid Flow Modeling Approach. Ph. D Thesis submitted to Postgraduate school, FUTO, Owerri, Nigeria.

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APA Style

Ubanozie Julian Obibuike, Anthony Kerunwa, Mathew Udechukwu, Remmy Chindu Eluagu, Anthony Chemazu Igbojionu, et al. (2020). Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline. International Journal of Oil, Gas and Coal Engineering, 8(1), 22-27. https://doi.org/10.11648/j.ogce.20200801.14

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ACS Style

Ubanozie Julian Obibuike; Anthony Kerunwa; Mathew Udechukwu; Remmy Chindu Eluagu; Anthony Chemazu Igbojionu, et al. Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline. Int. J. Oil Gas Coal Eng. 2020, 8(1), 22-27. doi: 10.11648/j.ogce.20200801.14

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AMA Style

Ubanozie Julian Obibuike, Anthony Kerunwa, Mathew Udechukwu, Remmy Chindu Eluagu, Anthony Chemazu Igbojionu, et al. Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline. Int J Oil Gas Coal Eng. 2020;8(1):22-27. doi: 10.11648/j.ogce.20200801.14

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@article{10.11648/j.ogce.20200801.14,
  author = {Ubanozie Julian Obibuike and Anthony Kerunwa and Mathew Udechukwu and Remmy Chindu Eluagu and Anthony Chemazu Igbojionu and Stanley Toochukwu Ekwueme},
  title = {Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline},
  journal = {International Journal of Oil, Gas and Coal Engineering},
  volume = {8},
  number = {1},
  pages = {22-27},
  doi = {10.11648/j.ogce.20200801.14},
  url = {https://doi.org/10.11648/j.ogce.20200801.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ogce.20200801.14},
  abstract = {In this paper, a model is developed for the estimation of the pressure at the point of leak in a natural gas pipeline experiencing leak. The model is developed by comparing two equations developed for leak localization in natural gas pipeline corresponding to the upstream and the downstream sections of the pipeline respectively. The determination of the pressure at the point of leak which is the dominant parameter for the two models ensures the accuracy and equality of the two leak localization equation regardless of the section of the pipeline considered. The model for the point of leak develops helps to monitor pipeline pressure profile for the leak and the no leak case and helps to detect the exact point of leak in the pipeline depicted by the pressure reductions gotten by comparing the pressure profile of the no leak and the leaking pipeline cases. In the work three cases were considered. In each of the cases, the pressure at the point of leak were estimate with the corresponding location where the leak occurred. It is also realized as expected that the calculated pressures at the point of leak were lower than the expected pressures at the same point if the pipeline were not subject to leak. The results gotten show that the pressure at the point of leak for the three cases are 738 psi, 678.33 psi and 933.89 psi for case 1, case 2 and case 3 respectively. These pressure values occurred at locations 139.5 miles, 86.48 miles and 34.94 miles from the inlet point for case 1, case 2 and case 3 respectively.},
 year = {2020}
}

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TY  - JOUR
T1  - Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline
AU  - Ubanozie Julian Obibuike
AU  - Anthony Kerunwa
AU  - Mathew Udechukwu
AU  - Remmy Chindu Eluagu
AU  - Anthony Chemazu Igbojionu
AU  - Stanley Toochukwu Ekwueme
Y1  - 2020/02/10
PY  - 2020
N1  - https://doi.org/10.11648/j.ogce.20200801.14
DO  - 10.11648/j.ogce.20200801.14
T2  - International Journal of Oil, Gas and Coal Engineering
JF  - International Journal of Oil, Gas and Coal Engineering
JO  - International Journal of Oil, Gas and Coal Engineering
SP  - 22
EP  - 27
PB  - Science Publishing Group
SN  - 2376-7677
UR  - https://doi.org/10.11648/j.ogce.20200801.14
AB  - In this paper, a model is developed for the estimation of the pressure at the point of leak in a natural gas pipeline experiencing leak. The model is developed by comparing two equations developed for leak localization in natural gas pipeline corresponding to the upstream and the downstream sections of the pipeline respectively. The determination of the pressure at the point of leak which is the dominant parameter for the two models ensures the accuracy and equality of the two leak localization equation regardless of the section of the pipeline considered. The model for the point of leak develops helps to monitor pipeline pressure profile for the leak and the no leak case and helps to detect the exact point of leak in the pipeline depicted by the pressure reductions gotten by comparing the pressure profile of the no leak and the leaking pipeline cases. In the work three cases were considered. In each of the cases, the pressure at the point of leak were estimate with the corresponding location where the leak occurred. It is also realized as expected that the calculated pressures at the point of leak were lower than the expected pressures at the same point if the pipeline were not subject to leak. The results gotten show that the pressure at the point of leak for the three cases are 738 psi, 678.33 psi and 933.89 psi for case 1, case 2 and case 3 respectively. These pressure values occurred at locations 139.5 miles, 86.48 miles and 34.94 miles from the inlet point for case 1, case 2 and case 3 respectively.
VL  - 8
IS  - 1
ER  -

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Author Information

Ubanozie Julian Obibuike

Department of Petroleum Engineering, Federal University of Technology, Owerri (FUTO), Nigeria
Anthony Kerunwa

Department of Petroleum Engineering, Federal University of Technology, Owerri (FUTO), Nigeria
Mathew Udechukwu

Department of Petroleum Engineering, Federal University of Technology, Owerri (FUTO), Nigeria
Remmy Chindu Eluagu

Department of Petroleum Engineering, Federal University of Technology, Owerri (FUTO), Nigeria
Anthony Chemazu Igbojionu

Department of Petroleum Engineering, Federal University of Technology, Owerri (FUTO), Nigeria
Stanley Toochukwu Ekwueme

Department of Petroleum Engineering, Federal University of Technology, Owerri (FUTO), Nigeria

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APA Style

Ubanozie Julian Obibuike, Anthony Kerunwa, Mathew Udechukwu, Remmy Chindu Eluagu, Anthony Chemazu Igbojionu, et al. (2020). Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline. International Journal of Oil, Gas and Coal Engineering, 8(1), 22-27. https://doi.org/10.11648/j.ogce.20200801.14

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ACS Style

Ubanozie Julian Obibuike; Anthony Kerunwa; Mathew Udechukwu; Remmy Chindu Eluagu; Anthony Chemazu Igbojionu, et al. Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline. Int. J. Oil Gas Coal Eng. 2020, 8(1), 22-27. doi: 10.11648/j.ogce.20200801.14

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AMA Style

Ubanozie Julian Obibuike, Anthony Kerunwa, Mathew Udechukwu, Remmy Chindu Eluagu, Anthony Chemazu Igbojionu, et al. Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline. Int J Oil Gas Coal Eng. 2020;8(1):22-27. doi: 10.11648/j.ogce.20200801.14

Copy | Download

@article{10.11648/j.ogce.20200801.14,
  author = {Ubanozie Julian Obibuike and Anthony Kerunwa and Mathew Udechukwu and Remmy Chindu Eluagu and Anthony Chemazu Igbojionu and Stanley Toochukwu Ekwueme},
  title = {Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline},
  journal = {International Journal of Oil, Gas and Coal Engineering},
  volume = {8},
  number = {1},
  pages = {22-27},
  doi = {10.11648/j.ogce.20200801.14},
  url = {https://doi.org/10.11648/j.ogce.20200801.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ogce.20200801.14},
  abstract = {In this paper, a model is developed for the estimation of the pressure at the point of leak in a natural gas pipeline experiencing leak. The model is developed by comparing two equations developed for leak localization in natural gas pipeline corresponding to the upstream and the downstream sections of the pipeline respectively. The determination of the pressure at the point of leak which is the dominant parameter for the two models ensures the accuracy and equality of the two leak localization equation regardless of the section of the pipeline considered. The model for the point of leak develops helps to monitor pipeline pressure profile for the leak and the no leak case and helps to detect the exact point of leak in the pipeline depicted by the pressure reductions gotten by comparing the pressure profile of the no leak and the leaking pipeline cases. In the work three cases were considered. In each of the cases, the pressure at the point of leak were estimate with the corresponding location where the leak occurred. It is also realized as expected that the calculated pressures at the point of leak were lower than the expected pressures at the same point if the pipeline were not subject to leak. The results gotten show that the pressure at the point of leak for the three cases are 738 psi, 678.33 psi and 933.89 psi for case 1, case 2 and case 3 respectively. These pressure values occurred at locations 139.5 miles, 86.48 miles and 34.94 miles from the inlet point for case 1, case 2 and case 3 respectively.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline
AU  - Ubanozie Julian Obibuike
AU  - Anthony Kerunwa
AU  - Mathew Udechukwu
AU  - Remmy Chindu Eluagu
AU  - Anthony Chemazu Igbojionu
AU  - Stanley Toochukwu Ekwueme
Y1  - 2020/02/10
PY  - 2020
N1  - https://doi.org/10.11648/j.ogce.20200801.14
DO  - 10.11648/j.ogce.20200801.14
T2  - International Journal of Oil, Gas and Coal Engineering
JF  - International Journal of Oil, Gas and Coal Engineering
JO  - International Journal of Oil, Gas and Coal Engineering
SP  - 22
EP  - 27
PB  - Science Publishing Group
SN  - 2376-7677
UR  - https://doi.org/10.11648/j.ogce.20200801.14
AB  - In this paper, a model is developed for the estimation of the pressure at the point of leak in a natural gas pipeline experiencing leak. The model is developed by comparing two equations developed for leak localization in natural gas pipeline corresponding to the upstream and the downstream sections of the pipeline respectively. The determination of the pressure at the point of leak which is the dominant parameter for the two models ensures the accuracy and equality of the two leak localization equation regardless of the section of the pipeline considered. The model for the point of leak develops helps to monitor pipeline pressure profile for the leak and the no leak case and helps to detect the exact point of leak in the pipeline depicted by the pressure reductions gotten by comparing the pressure profile of the no leak and the leaking pipeline cases. In the work three cases were considered. In each of the cases, the pressure at the point of leak were estimate with the corresponding location where the leak occurred. It is also realized as expected that the calculated pressures at the point of leak were lower than the expected pressures at the same point if the pipeline were not subject to leak. The results gotten show that the pressure at the point of leak for the three cases are 738 psi, 678.33 psi and 933.89 psi for case 1, case 2 and case 3 respectively. These pressure values occurred at locations 139.5 miles, 86.48 miles and 34.94 miles from the inlet point for case 1, case 2 and case 3 respectively.
VL  - 8
IS  - 1
ER  -

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