Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline
International Journal of Oil, Gas and Coal Engineering
Volume 8, Issue 1, January 2020, Pages: 22-27
Received: Dec. 30, 2019; Accepted: Jan. 13, 2020; Published: Feb. 10, 2020
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Authors
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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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.
Keywords
Leak Pressure, Natural Gas, Pressure Profile, Mathematical Modeling, Point of Leak
To cite this article
Ubanozie Julian Obibuike, Anthony Kerunwa, Mathew Udechukwu, Remmy Chindu Eluagu, Anthony Chemazu Igbojionu, Stanley Toochukwu Ekwueme, Mathematical Approach to Determination of the Pressure at the Point of Leak in Natural Gas Pipeline, International Journal of Oil, Gas and Coal Engineering. Vol. 8, No. 1, 2020, pp. 22-27. doi: 10.11648/j.ogce.20200801.14
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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