Mathematical model for leak location in natural gas pipeline has been developed in this paper. The model employs an isothermal steady state approach. Leak occurrence in the pipeline divides the pipeline into two sections-the upstream and downstream sections respectively. Analyses of leak incidences were carried out in the two pipeline sections giving rise to two equations being developed to address the leak localization. The first leak equation was developed by considering the upstream section of the pipeline while the second leak equation was developed by considering the downstream section of the pipeline. The two equations were analytically developed by slight modification of the Weymouth’s equation for gas flow in horizontal pipeline. Matlab software was used in the model simulation. Seven field data were used in the model simulation. The results from the Matlab simulation of the mathematical models developed gave the leak locations for each of the field cases. Comparison of the simulated results with actual results of leak locations determined experimentally revealed high level of accuracy with an average error of only 0.377% which is below the minimum acceptable limit. Furthermore analyses of results show that the two leak equations yield same results when used in the Matlab simulator. The model is highly suitable for accurate detection of leak in natural gas pipeline especially where economics and reliability is of essence.
| Published in | International Journal of Oil, Gas and Coal Engineering (Volume 7, Issue 4) |
| DOI | 10.11648/j.ogce.20190704.12 |
| Page(s) | 95-102 |
| 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), 2019. Published by Science Publishing Group |
Leak Location, Mathematical Model, Upstream Section, Downstream Section
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APA Style
Obibuike Ubanozie Julian, Ekwueme Stanley Toochukwu, Ohia Nnaemeka Princewill, Igwilo Kevin Chinwuba, Onyejekwe Ifeanyi Michael, et al. (2019). Analytical Model for the Estimation of Leak Location in Natural Gas Pipeline. International Journal of Oil, Gas and Coal Engineering, 7(4), 95-102. https://doi.org/10.11648/j.ogce.20190704.12
ACS Style
Obibuike Ubanozie Julian; Ekwueme Stanley Toochukwu; Ohia Nnaemeka Princewill; Igwilo Kevin Chinwuba; Onyejekwe Ifeanyi Michael, et al. Analytical Model for the Estimation of Leak Location in Natural Gas Pipeline. Int. J. Oil Gas Coal Eng. 2019, 7(4), 95-102. doi: 10.11648/j.ogce.20190704.12
AMA Style
Obibuike Ubanozie Julian, Ekwueme Stanley Toochukwu, Ohia Nnaemeka Princewill, Igwilo Kevin Chinwuba, Onyejekwe Ifeanyi Michael, et al. Analytical Model for the Estimation of Leak Location in Natural Gas Pipeline. Int J Oil Gas Coal Eng. 2019;7(4):95-102. doi: 10.11648/j.ogce.20190704.12
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Download@article{10.11648/j.ogce.20190704.12,
author = {Obibuike Ubanozie Julian and Ekwueme Stanley Toochukwu and Ohia Nnaemeka Princewill and Igwilo Kevin Chinwuba and Onyejekwe Ifeanyi Michael and Igbojionu Anthony Chemazu},
title = {Analytical Model for the Estimation of Leak Location in Natural Gas Pipeline},
journal = {International Journal of Oil, Gas and Coal Engineering},
volume = {7},
number = {4},
pages = {95-102},
doi = {10.11648/j.ogce.20190704.12},
url = {https://doi.org/10.11648/j.ogce.20190704.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ogce.20190704.12},
abstract = {Mathematical model for leak location in natural gas pipeline has been developed in this paper. The model employs an isothermal steady state approach. Leak occurrence in the pipeline divides the pipeline into two sections-the upstream and downstream sections respectively. Analyses of leak incidences were carried out in the two pipeline sections giving rise to two equations being developed to address the leak localization. The first leak equation was developed by considering the upstream section of the pipeline while the second leak equation was developed by considering the downstream section of the pipeline. The two equations were analytically developed by slight modification of the Weymouth’s equation for gas flow in horizontal pipeline. Matlab software was used in the model simulation. Seven field data were used in the model simulation. The results from the Matlab simulation of the mathematical models developed gave the leak locations for each of the field cases. Comparison of the simulated results with actual results of leak locations determined experimentally revealed high level of accuracy with an average error of only 0.377% which is below the minimum acceptable limit. Furthermore analyses of results show that the two leak equations yield same results when used in the Matlab simulator. The model is highly suitable for accurate detection of leak in natural gas pipeline especially where economics and reliability is of essence.},
year = {2019}
}
TY - JOUR T1 - Analytical Model for the Estimation of Leak Location in Natural Gas Pipeline AU - Obibuike Ubanozie Julian AU - Ekwueme Stanley Toochukwu AU - Ohia Nnaemeka Princewill AU - Igwilo Kevin Chinwuba AU - Onyejekwe Ifeanyi Michael AU - Igbojionu Anthony Chemazu Y1 - 2019/11/11 PY - 2019 N1 - https://doi.org/10.11648/j.ogce.20190704.12 DO - 10.11648/j.ogce.20190704.12 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 - 95 EP - 102 PB - Science Publishing Group SN - 2376-7677 UR - https://doi.org/10.11648/j.ogce.20190704.12 AB - Mathematical model for leak location in natural gas pipeline has been developed in this paper. The model employs an isothermal steady state approach. Leak occurrence in the pipeline divides the pipeline into two sections-the upstream and downstream sections respectively. Analyses of leak incidences were carried out in the two pipeline sections giving rise to two equations being developed to address the leak localization. The first leak equation was developed by considering the upstream section of the pipeline while the second leak equation was developed by considering the downstream section of the pipeline. The two equations were analytically developed by slight modification of the Weymouth’s equation for gas flow in horizontal pipeline. Matlab software was used in the model simulation. Seven field data were used in the model simulation. The results from the Matlab simulation of the mathematical models developed gave the leak locations for each of the field cases. Comparison of the simulated results with actual results of leak locations determined experimentally revealed high level of accuracy with an average error of only 0.377% which is below the minimum acceptable limit. Furthermore analyses of results show that the two leak equations yield same results when used in the Matlab simulator. The model is highly suitable for accurate detection of leak in natural gas pipeline especially where economics and reliability is of essence. VL - 7 IS - 4 ER -
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