Mathematical modeling of the flow in a pipeline with a leak

Mathematics and Computers in Simulation

Volumn 82, Issue 11, 2012, Pages 2253-2267

  Sun, Liang ^a  

^a CHINA UNIVERSITY OF PETROLEUM   (China)

Author keywords

Equivalent circuit; Hydraulic electric analogy; Leakage; Mathematical modeling; Pipeline

Indexed keywords

ENVIRONMENTAL HAZARDS; FLOW CHARACTERISTIC; HYDRAULIC-ELECTRIC ANALOGY; MATHEMATICAL EXPRESSIONS; OIL PIPELINES; PIPELINE LEAKS; PIPELINE OPERATION; SIMULATED RESULTS;

COMPUTER SIMULATION; EQUIVALENT CIRCUITS; LEAKAGE (FLUID); MATHEMATICAL MODELS;

PIPELINES;

EID: 84865648960     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2012.06.007     Document Type: Article

References (21)

1. A. Benkherouf, and A.Y. Allidina Leak detection and location in gas pipelines, IEE, Proceedings, Part D Control Theory and Applications 135 1988 142 148
2. L. Billmann, and R. Isermann Leak detection methods for pipelines Automatica 23 1987 381 385
3. Y. Dong, H. Gao, J. Zhou, and Y. Feng Evaluation of gas release rate through holes in pipelines Journal of Loss Prevention in the Process Industries 15 2002 423 428
4. H.E. Emara-Shabaik, Y.A. Khulief, and I. Hussaini A non-linear multiple-model state estimation scheme for pipeline leak detection and isolation, Proceedings of the Institution of Mechanical Engineers. Part I Journal of Systems and Control Engineering 216 2002 497 512
5. E.J. Finnemore, and J.B. Franzini Fluid Mechanics with Engineering Applications 10th ed. 2003 McGraw-Hill New York
6. C. Huo, Y. Dong, D. Yu, H. Gao, J. Zhou, and Y. Feng Estimation of accidental gas release flow rate in long transmission pipelines Acta Petrolei Sinica 25 2004 101 105
7. Y.D. Jo, and B.J. Ahn A simple model for the release rate of hazardous gas from a hole on high-pressure pipelines Journal of Hazardous Materials 97 2003 31 46
8. C.V. Kameswara Rao, and K. Eswaran On the analysis of pressure transients in pipelines carrying compressible fluids Internal Journal of Pressure Vessels and Piping 56 1993 107 129
9. S.L. Ke, and H.C. Ti Transient analysis of isothermal gas flow in pipeline network Chemical Engineering Journal 76 2000 169 177
10. W. Li One-Dimensional Non-steady Flow and Shock Waves 2003 National Defense Industry Press Beijing, China
11. K. Lin, and K.E. Holbert Applying the equivalent pi circuit to the modeling of hydraulic pressurized lines Mathematics and Computers in Simulation 79 2009 2064 2075
12. H. Mahgerefteh, P. Saha, and I.G. Economou Fast numerical simulation for full bore rupture of pressurized pipelines AIChE Journal 45 1999 1191 1201
13. H. Mahgerefteh, A. Oke, and O. Atti Modeling outflow following rupture in pipeline networks Chemical Engineering Science 61 2006 1811 1818
14. H. Montiel, J.A. Vílchez, J. Casal, and J. Arnaldos Mathematical modeling of accidental gas releases Journal of Hazardous Materials 59 1998 211 233
15. P. Nie, S. Deng, and J. Wen Study on the leak in the hydraulic transient simulation of the pipeline Oil & Gas Storage and Transportation 25 2006 19 22
16. A. Oke, H. Mahgerefteh, I. Economou, and Y. Rykov A transient outflow model for pipeline puncture Chemical Engineering Science 58 2003 4591 4604
17. L. Sun, and J. Wang Modeling and simulation of leaking gas pipeline Journal of System Simulation 23 2011 1310 1314
18. A.R.D. Thorley, and C.H. Tiley Unsteady and transient flow of compressible fluids in pipelines - a review of theoretical and some experimental studies International Journal of Heat and Fluid Flow 8 1987 3 15
19. E.B. Wylie, and V.L. Streeter Fluid Transients in Systems 1993 Prentice Hall Inc. New Jersey
20. Z. Yang, F. Zhang, and J. Lai Steady leakage calculation models of non-isothermal long gas pipeline Journal of Tianjin University 38 2005 1115 1121
21. G. Yao The Design and Management of Gas Transmission Line 1991 China University of Petroleum Press Dongying, China