Mathematical Model of Leakage during Pressure Tests of Oil and Gas Pipelines
Publication: Journal of Pipeline Systems Engineering and Practice
Volume 6, Issue 4
Abstract
Leakage may occur during pressure tests of gas pipelines. Locating the position of leakage followed by immediate repair work becomes very important. On the basis of both the theory of natural gas pipeline transportation and the procedure of pressure test, this paper established a mathematical model of leakage during pressure tests of gas pipelines. Leakage position function and discharge function, as well as the whole numerical simulation process, are studied in this paper by applying numerical inversion to partial differential equations. The theory and methods specified in this paper also can be used for leakage detection in an oil and gas pipeline’s daily operation.
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Acknowledgments
This research is supported by Sichuan Provincial Key Disciplinary Development Project Fund (SZD0416). Special acknowledgment should be given to State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University.
References
Billmann, L., and Isermann, R. (1987). “Leak detection methods for pipelines.” Automatica, 23(3), 381–385.
Bruckner, G., and Yamamoto, M. (2000). “Determination of point wave source by pointwise observations: Stability and reconstruction.” Inverse Prob., 16(3), 723–748.
GB. (2003). “Code for design of gas transmission pipeline engineering.”, China Planning Press, Beijing.
Guo, B. Q. (1998). Inverse problems of parabolic partial differential equations, 1st Ed., Harbin Institute of Technology Press, Heilongjiang, China.
Huang, Y. H. (2011). “The theory research of technology of detecting leakage.” Doctoral dissertation, Southwest Petroleum Univ., Chengdu, China.
Kirsch, A. (1996). An introduction to the mathematical theory of inverse problems, 3rd Ed., Springer, New York.
Komornik, V., and Yamamoto, M. (2002). “Upper and lower estimates in determinating point source in a wave equation.” Inverse Probl., 18(2), 319–329.
Liu, J. Q., Kuang, Z., and Wang, D. M. (1987). Inverse problem of differential equations and their numerical methods, 1st Ed., Harbin Institute of Technology Press, Heilongjiang, China.
Reeve, D. E., and Spivack, M. (1994). “Determination of a source term in the linear diffusion equation.” Inverse Prob., 10(6), 1335–1344.
Romanov, V. G. (1987). Inverse problems of mathematical physics, 1st Ed., VNU Science, Utrecht, Netherlands.
Shu, J. H., and Li, G. S. (2004). “A conditional stability for an inverse source problem.” Mathematica Applicata, 17(1), 150–154.
Verde, C. (2001). “Multi-leak detection and isolation in fluid pipelines.” Control Eng. Pract., 9(6), 673–682.
Wang, G., Dong, D., and Fang, C. (1993). “Leak detection for transport pipelines based on autoregressive modeling.” Instrum. Meas., 42(1), 68–71.
Wu, X. Q., Wang, Y., and Jiang, M. Z. (2006). “The problem of the detection of the leak location in the gas pipeline.” J. Southwest Petroleum Institute, 28(3), 27–29.
Zhao, Y., Li, X. H., and Lai, J. B. (2007). “Analysis on the diffusion hazards of dynamic leakage of gas pipeline.” Reliab. Eng. Syst. Saf., 92(1), 47–53.
Zhao, Y., Zhuang, X., and Min, S. (2010). “A new method of leak location for the natural gas pipeline based on wavelet analysis.” Energy, 35(9), 3814–3820.
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© 2015 American Society of Civil Engineers.
History
Received: Feb 6, 2014
Accepted: Nov 26, 2014
Published online: Jan 6, 2015
Discussion open until: Jun 6, 2015
Published in print: Nov 1, 2015
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