On Leak Localization in the Main Branched and Simple Inclined Gas Pipelines
In this paper two mathematical models for definition of gas accidental escape localization in the gas pipelines are suggested. The first model was created for leak localization in the horizontal branched pipeline and second one for leak detection in inclined section of the main gas pipeline. The algorithm of leak localization in the branched pipeline did not demand on knowledge of corresponding initial hydraulic parameters at entrance and ending points of each sections of pipeline. For detection of the damaged section and then leak localization in this section special functions and equations have been constructed. Some results of calculations for compound pipelines having two, four and five sections are presented. Also a method and formula for the leak localization in the simple inclined section of the main gas pipeline are suggested. Some results of numerical calculations defining localization of gas escape for the inclined pipeline are presented.
<p>[1] K. E. Abdulimen, A. A.Susu,” Liquid pipeline leak detection system:
model development and numerical simulation,” Chemical Engineering
Journal, Vol. 97, pp. 47–67, Issue 1, 2004.
[2] G. Pluvinage, “General Approaches of Pipeline Defect Assessment,” in
book “Safety, Reliability and Risks Associated with Water, Oil and Gas
Pipelines” edited by Pluvinage G., Elwany M., H., Springer, 2008, pp.1-
22.
[3] Y. Sivathanu, Natural gas leak detection in pipelines. Prepared for U.S.
Department of Energy National Energy Technology
Laboratory,http://prod75inter1.netl.doe.gov/technologies/oilgas/publicat
ions, 1991.
[4] A. Elhakimi , H. Moustabchir, S. Hariri, Z. Azari, “Failure of Cylinrical
Shells: Numrrical and Experimental Study,” in the book “Safety,
Reliability and Risks Associated with Water, Oil and Gas Pipelines”
edited by Pluvinage G., Elwany M., H., Springer.349, 2008, pp.65-77.
[5] E. Brodetsky and M. Savic, “ Leak monitoring system for gas
pipelines,” IEEE Int. Conf. Acoustics, Speech, and Signal Processing,
Minneapolis, USA, Vol. 3, pp. 17–20, 1993.
[6] W. K. Muhlbaue,r, Pipeline Risk Management Manual, Burlington: Gulf
Professional Publishing, 2004.
[7] K. Ikuta, N. Yoshikane, N. Vasa, Y. Oki, M. Maeda, M. Uchiumi, Y.
Tsumur, J. Nakagawa and N. Kawada, “Differential absorption lidar at
1.67 μm for remote sensing of methane leakage,” Jpn. J. Phys., Vol. 38,
pp. 110–114 No. 1A, 1999.
[8] T. Iseki, H. Tai and K. Kimura, “A portable remote methane sensor
using a tunable diode laser,” Meas. Sci. Technol., Vol.11, pp. 594–602
No. 6, 2000.
[9] T. Davitashvili, G. Gubelidze, I. Samkharadze, “Leak Detection in Oil
and Gas Transmission Pipelines,” In Advances in Biology,
Bioengineering and Environment, WSEAS us/e-librery, 2010,pp 196-
201.
[10] A. H. A. Baghdadi, .H.A. Mansy, “A mathematical model for leak
location in pipelines,” Applied Mathematical Modelling, Vol. 12, pp. 25–
30, Issue 1, 1988,.
[11] L. Billmann and R. Isermann,” Leak detection methods for pipelines,”
Automatica, Vol. 23, pp. 381–385 No. 3, 1987.
[12] A. Bushkovsky , Characteristic System of Distribution of Parameters,
Moscow, Nauka, 1979.
[13] T. Davitashvili,” On One Method of Accidental Leak localization in the
Branched Main Gas Pipeline,” In Recent Advances in Energy,
Environment& Economic Development, Mathematics and Computers in
Science and Engineering Series/6, Proc. of the WSEAS’ 3rd
International Conference on Development, Energy, Environment
,Economics (DEEE’12), 2-4 December, Paris, France, 2012, pp.76-81
[14] B. Bamieh and L. Giarré, “Identification of linear parameter varying
models,” International Journal Robust Nonlinear Control, Vol.2,
pp.841–853, Dec. 2002.
[15] B. Brunone, and M. Ferrante, “On leak detection in single pipes using
unsteady-state tests,” In M.H. Hamza (Editor): Modeling and
Simulation, IASTED ACTA PRESS, Anaheim, California, 1999,
pp.268-272.
[16] N. Gubeljak, “Application of SINTAP to the Failure Assessment of Gas
Pipes,” in book “Safety, Reliability and Risks Associated with Water, Oil
and Gas Pipelines”edited by Pluvinage G., Elwany M., H.,
Springer.349, 2008, pp.23-44.
[17] S. L. Scott, and M. A. Barrufet, “Worldwide Assessment of Industry
Leak Detection Capabilities for Single & Multiphase Pipelines,” Project
Report Prepared for the Minerals Management Service, OTRC Library
Number: 8/03A120, University of Texas, Austin. 2003
[18] I. R. Ellul “Advances in pipeline leak detection techniques,”
International J. Pipes and Pipelines., Vol. 34, pp. 7–12, No. 3, 1989.
[19] T. Fukuda and T. Mitsuoka, “Leak detection and localization in a
pipeline system based on time series analysis technique”. J. Fluid
Contr., Vol. 15, pp. 5–17, No. 4, 1983.
[20] H. E. Emara-Shabaik H. E., Y. A. Khulief, I. Hussaini, “A non-linear
multiple-model state estimation scheme for pipeline leak detection and
isolation,” In Proc. of the Institution of Mechanical Engineers, Part I:
Journal of Systems and Control Engineering, 216, 2002, pp. 497-512.
[21] G. Griebenow and M. Mears, “Leak detection implementation:
modelling and tuning methods,” American Society of Mechanical
Engineers, Petroleum Division, vol. 19, pp. 9-18, 1988.
[22] Klein W. R., Acoustic leak detection, American Society of Mechanical
Engineers, Petroleum Division, vol.55, 1993, pp. 57-61.
[23] J. C. P.Liou, and J. Tian, “Leak detection: a transient flow simulation
approach,” American Society of Mechanical Engineers, Petroleum
Division, vol.60, pp. 51-58 1994.
[24] M. Liu, Sh. Zang, D. Zhou, “Fast Leak Detection and Location of Gas
pipelines Based on an Adaption Particle Filter,” Int. J. Appl. Math.
Comput. Sci., Vol. 15, pp. 541–550, No. 4, 2005.
[25] S. Ljevar, H. C. de Lange, and A. A. Van Steenhoven, “Comparison of
Rotating Stall Characteristics between the Viscid and Inviscid Twodimensional
Model,” WSEAS Transactions on Fluid Mechanics, Vol.1,
pp.480-487, 2006.
[26] J. R. Bose and M. K. Olson, “TAPS’s leak detection seeks greater
precision,” Oil and Gas Journal, Vol.3, pp. 43-47, April, 1993.
[27] J. L. Sperl, “System pinpoints leaks on Point Arguello offshore line,”
Oil and Gas Journal, Issue 9, pp. 47-52, 1991.
[28] J. E. Hough, “Leak testing of pipelines uses pressure and acoustic
velocity,” Oil and Gas Journal, vol. 86, pp. 35-41, 1988.
[29] V.A. Iufin Transport of oil and gas by pipelines Moscow, Nedra,1978
[30] T. Davitashvili, G. Gubelidze, I. Samkharadze, “Prediction of possible
points of hydrates origin in the main pipelines under the conditions of
non-stationary flow,” In World Academy of Science, Engineering and
Technology,” year 7, Issue 78, July,, 2011,pp 1069-1074.
[31] L. Spaeth and M. O’Brien, “An additional tool for integrity
monitoring,” Pipeline and Gas J., Vol. 230, pp. 41–43, No. 3, 2003.
[32] G. Wang, D. Dong, and C. Fang, “Leak detection for transport pipelines
based on autoregressive modelling,” IEEE Trans. Instrum. Measmt,
Vol.42 (1), pp. 68-71, February 1993.
[33] S. Yoon, M. Mensik and W. Y. Luk,” Canadian pipeline installs leakdetection
system,” Oil and Gas International Journal, Vol. 9, pp.77-85,
1988.
[34] Q. Zhao and D. H. Zhou, “leak detection and location of gas pipelines
based on a strong tracking filter,” Trans. Contr. Automat. Syst. Eng.,
Vol.3, pp.89-94, No.2, 2001.</p>
<p>[1] K. E. Abdulimen, A. A.Susu,” Liquid pipeline leak detection system:
model development and numerical simulation,” Chemical Engineering
Journal, Vol. 97, pp. 47–67, Issue 1, 2004.
[2] G. Pluvinage, “General Approaches of Pipeline Defect Assessment,” in
book “Safety, Reliability and Risks Associated with Water, Oil and Gas
Pipelines” edited by Pluvinage G., Elwany M., H., Springer, 2008, pp.1-
22.
[3] Y. Sivathanu, Natural gas leak detection in pipelines. Prepared for U.S.
Department of Energy National Energy Technology
Laboratory,http://prod75inter1.netl.doe.gov/technologies/oilgas/publicat
ions, 1991.
[4] A. Elhakimi , H. Moustabchir, S. Hariri, Z. Azari, “Failure of Cylinrical
Shells: Numrrical and Experimental Study,” in the book “Safety,
Reliability and Risks Associated with Water, Oil and Gas Pipelines”
edited by Pluvinage G., Elwany M., H., Springer.349, 2008, pp.65-77.
[5] E. Brodetsky and M. Savic, “ Leak monitoring system for gas
pipelines,” IEEE Int. Conf. Acoustics, Speech, and Signal Processing,
Minneapolis, USA, Vol. 3, pp. 17–20, 1993.
[6] W. K. Muhlbaue,r, Pipeline Risk Management Manual, Burlington: Gulf
Professional Publishing, 2004.
[7] K. Ikuta, N. Yoshikane, N. Vasa, Y. Oki, M. Maeda, M. Uchiumi, Y.
Tsumur, J. Nakagawa and N. Kawada, “Differential absorption lidar at
1.67 μm for remote sensing of methane leakage,” Jpn. J. Phys., Vol. 38,
pp. 110–114 No. 1A, 1999.
[8] T. Iseki, H. Tai and K. Kimura, “A portable remote methane sensor
using a tunable diode laser,” Meas. Sci. Technol., Vol.11, pp. 594–602
No. 6, 2000.
[9] T. Davitashvili, G. Gubelidze, I. Samkharadze, “Leak Detection in Oil
and Gas Transmission Pipelines,” In Advances in Biology,
Bioengineering and Environment, WSEAS us/e-librery, 2010,pp 196-
201.
[10] A. H. A. Baghdadi, .H.A. Mansy, “A mathematical model for leak
location in pipelines,” Applied Mathematical Modelling, Vol. 12, pp. 25–
30, Issue 1, 1988,.
[11] L. Billmann and R. Isermann,” Leak detection methods for pipelines,”
Automatica, Vol. 23, pp. 381–385 No. 3, 1987.
[12] A. Bushkovsky , Characteristic System of Distribution of Parameters,
Moscow, Nauka, 1979.
[13] T. Davitashvili,” On One Method of Accidental Leak localization in the
Branched Main Gas Pipeline,” In Recent Advances in Energy,
Environment& Economic Development, Mathematics and Computers in
Science and Engineering Series/6, Proc. of the WSEAS’ 3rd
International Conference on Development, Energy, Environment
,Economics (DEEE’12), 2-4 December, Paris, France, 2012, pp.76-81
[14] B. Bamieh and L. Giarré, “Identification of linear parameter varying
models,” International Journal Robust Nonlinear Control, Vol.2,
pp.841–853, Dec. 2002.
[15] B. Brunone, and M. Ferrante, “On leak detection in single pipes using
unsteady-state tests,” In M.H. Hamza (Editor): Modeling and
Simulation, IASTED ACTA PRESS, Anaheim, California, 1999,
pp.268-272.
[16] N. Gubeljak, “Application of SINTAP to the Failure Assessment of Gas
Pipes,” in book “Safety, Reliability and Risks Associated with Water, Oil
and Gas Pipelines”edited by Pluvinage G., Elwany M., H.,
Springer.349, 2008, pp.23-44.
[17] S. L. Scott, and M. A. Barrufet, “Worldwide Assessment of Industry
Leak Detection Capabilities for Single & Multiphase Pipelines,” Project
Report Prepared for the Minerals Management Service, OTRC Library
Number: 8/03A120, University of Texas, Austin. 2003
[18] I. R. Ellul “Advances in pipeline leak detection techniques,”
International J. Pipes and Pipelines., Vol. 34, pp. 7–12, No. 3, 1989.
[19] T. Fukuda and T. Mitsuoka, “Leak detection and localization in a
pipeline system based on time series analysis technique”. J. Fluid
Contr., Vol. 15, pp. 5–17, No. 4, 1983.
[20] H. E. Emara-Shabaik H. E., Y. A. Khulief, I. Hussaini, “A non-linear
multiple-model state estimation scheme for pipeline leak detection and
isolation,” In Proc. of the Institution of Mechanical Engineers, Part I:
Journal of Systems and Control Engineering, 216, 2002, pp. 497-512.
[21] G. Griebenow and M. Mears, “Leak detection implementation:
modelling and tuning methods,” American Society of Mechanical
Engineers, Petroleum Division, vol. 19, pp. 9-18, 1988.
[22] Klein W. R., Acoustic leak detection, American Society of Mechanical
Engineers, Petroleum Division, vol.55, 1993, pp. 57-61.
[23] J. C. P.Liou, and J. Tian, “Leak detection: a transient flow simulation
approach,” American Society of Mechanical Engineers, Petroleum
Division, vol.60, pp. 51-58 1994.
[24] M. Liu, Sh. Zang, D. Zhou, “Fast Leak Detection and Location of Gas
pipelines Based on an Adaption Particle Filter,” Int. J. Appl. Math.
Comput. Sci., Vol. 15, pp. 541–550, No. 4, 2005.
[25] S. Ljevar, H. C. de Lange, and A. A. Van Steenhoven, “Comparison of
Rotating Stall Characteristics between the Viscid and Inviscid Twodimensional
Model,” WSEAS Transactions on Fluid Mechanics, Vol.1,
pp.480-487, 2006.
[26] J. R. Bose and M. K. Olson, “TAPS’s leak detection seeks greater
precision,” Oil and Gas Journal, Vol.3, pp. 43-47, April, 1993.
[27] J. L. Sperl, “System pinpoints leaks on Point Arguello offshore line,”
Oil and Gas Journal, Issue 9, pp. 47-52, 1991.
[28] J. E. Hough, “Leak testing of pipelines uses pressure and acoustic
velocity,” Oil and Gas Journal, vol. 86, pp. 35-41, 1988.
[29] V.A. Iufin Transport of oil and gas by pipelines Moscow, Nedra,1978
[30] T. Davitashvili, G. Gubelidze, I. Samkharadze, “Prediction of possible
points of hydrates origin in the main pipelines under the conditions of
non-stationary flow,” In World Academy of Science, Engineering and
Technology,” year 7, Issue 78, July,, 2011,pp 1069-1074.
[31] L. Spaeth and M. O’Brien, “An additional tool for integrity
monitoring,” Pipeline and Gas J., Vol. 230, pp. 41–43, No. 3, 2003.
[32] G. Wang, D. Dong, and C. Fang, “Leak detection for transport pipelines
based on autoregressive modelling,” IEEE Trans. Instrum. Measmt,
Vol.42 (1), pp. 68-71, February 1993.
[33] S. Yoon, M. Mensik and W. Y. Luk,” Canadian pipeline installs leakdetection
system,” Oil and Gas International Journal, Vol. 9, pp.77-85,
1988.
[34] Q. Zhao and D. H. Zhou, “leak detection and location of gas pipelines
based on a strong tracking filter,” Trans. Contr. Automat. Syst. Eng.,
Vol.3, pp.89-94, No.2, 2001.</p>
@article{"International Journal of Engineering, Mathematical and Physical Sciences:58490", author = "T. Davitashvili and G. Gubelidze", title = "On Leak Localization in the Main Branched and Simple Inclined Gas Pipelines", abstract = "In this paper two mathematical models for definition of gas accidental escape localization in the gas pipelines are suggested. The first model was created for leak localization in the horizontal branched pipeline and second one for leak detection in inclined section of the main gas pipeline. The algorithm of leak localization in the branched pipeline did not demand on knowledge of corresponding initial hydraulic parameters at entrance and ending points of each sections of pipeline. For detection of the damaged section and then leak localization in this section special functions and equations have been constructed. Some results of calculations for compound pipelines having two, four and five sections are presented. Also a method and formula for the leak localization in the simple inclined section of the main gas pipeline are suggested. Some results of numerical calculations defining localization of gas escape for the inclined pipeline are presented.
", keywords = "Branched and inclined gas pipelines, leak detection,
mathematical modeling.", volume = "7", number = "7", pages = "1163-8", }
