Strength Evaluation of the Underground Pipelines Curved Sections Loaded with Complete Coating

S.A. Shotskiy, General Director PAO GEOTEK, Moscow, Russia S.L. Golofast, Dr. Sci. (Eng.), Prof., OOO Gazprom Proyektirovaniye, St. Petersburg, Russia


Calculation of the values of stresses occurring in the pipe wall, and subsequent verification of the fulfillment of the strength condition ensuring the elimination of unacceptable plastic deformations, and, as a consequence, safe operation of the pipeline shall be conducted on the basis of the deterministic methods. Specific character of these methods is that the excessive internal pressure included in the design dependencies is adopted as a constant value and the same for all the linear sections of the pipeline. Due to this assumption, the dispersion limits and distribution laws of this value, which are not only individual for each linear section but also change over the time during pipeline operation, are not considered. The calculation results based on the deterministic methods of stresses and movements in the subterranean pipeline, as well as the parameters of the weight coatings allowing to reduce the value of stresses occurring in the pipe wall on the curved temperature-deformable sections, do not reflect the actual strength of the pipeline, and do not ensure effective application of the weight coatings. They do not consider not only the random, but also the differential nature of the excessive external pressure on each of the linear sections. The article presents the results of stress calculation and movements occurring in the vertical plane of the underground main gas pipeline loaded with distributed along the convex section continuous load from the top of its angle of rotation. Considering the random nature of the value of the excessive internal pressure, the strength of various linear sections of the main gas pipeline was evaluated. An individual approach was substantiated concerning the selection of the parameters of the continuous weight coating due to specifics and differences in the distribution laws and limits of changes of the internal pressure at various linear sections of the main pipeline.


1. Shotskiy S.A., Malyushin N.A. Stresses and movements of the loaded underground pipeline at the angles of rotation in the vertical plane. Izvestiya vysshikh uchebnykh zavedeniy. Neft i gaz = News of Higher Educational Institutions. Oil and Gas. 2009. № 2. pp. 83–85. (In Russ.).
2. Shotskiy S.A. Analysis of the underground pipelines stress-deformed state. Izvestiya vysshikh uchebnykh zavedeniy. Neft i gaz = News of Higher Educational Institutions. Oil and Gas. 2009. № 3. pp. 65–69. (In Russ.).
3. SNiP 2.05.06—85*. Trunk pipelines. Moscow: FGUP TsPP, 2005. 60 p. (In Russ.).
4. Golofast S.L., Shotskiy S.A. Probabilistic approach to the evaluation of the strength of the underground pipeline temperature-deformable sections. Ekspozitsiya Neft Gaz = Exposition Oil Gas. 2018. № 5 (65). pp. 51–56. (In Russ.).
5. Filatov A.A., George M.S. Effect of the gas pipelines operating conditions on the indicators of its strength reliability. Nauka i tekhnika v gazovoy promyshlennosti = Science and Technology in the Gas Industry. 2013. № 2 (54). pp. 75–82. (In Russ.).
6. Golofast S.L. Problems of reliability assessment of the main pipelines linear part. Bezopasnost truda v promyshlennosti = Occupational Safety in Industry. 2018. № 4 (736). pp. 36–42. (In Russ.).
7. Golofast S.L. Evaluation of the main pipeline reliability based on the safety factor quantile values. Bezopasnost truda v promyshlennosti = Occupational Safety in Industry. 2018. № 7 (739). pp. 22–28. (In Russ.).
8. Golofast S.L., Vladova A.Yu., Lobodenko I.Yu. Design, development and support of the information system for geotechnical monitoring of the main pipeline. Nauka i tekhnologii truboprovodnogo transporta nefti i nefteproduktov = Science and Technologies of the Pipeline Transport of Oil and Oil Products. 2016. № 2 (22). pp. 80–87. (In Russ.).
9. Bertsche B., Lechner G. Zuverlässigkeit im Fahrzeug- und Maschinenbau. Berlin: Springer, 2004. 495 p.
10. O’Connor P.D.T., Kleyner A. Practical Reliability Engineering. 5th Ed. John Wiley & Sons, Ltd, 2012. 485 p.
11. Syzrantsev V.N., Golofast S.L. Probabilistic estimate of the pipeline safety factor. Truboprovodnyy transport: teoriya i praktika = Pipeline Transport: Theory and Practice. 2012. № 2 (30). pp. 27–29. (In Russ.).
12. Wasserman L. All of Nonparametric Statistics. Available at: (accessed: September 7, 2018).
13. Corder G.W., Foreman D.I. Nonparametric Statistics: Step-by-Step Approach. Available at: (accessed: September 7, 2018).
14. Hollander M., Wolfe D.A., Chicken E. Nonparametric Statistical Methods. John Wiley & Sons, 2014. 844 p.
15. Hettmansperger T.P., McKean J.W. Robust Nonparametric Statistical Methods. Kendall’s Library of Statistic. London: Edward Arnold, 1998.

DOI: 10.24000/0409-2961-2018-10-22-29
Year: 2018
Issue num: October
Keywords : random value probability density function underground pipeline curved section continuous load external load longitudinal stress stressed-deformed state analysis