Interference of torsion waves in the underground pipeline caused by the movement of the damaged foundation


  • I. P. Shatskyi
  • M. I. Vaskovskyi
  • V. V. Perepichka



strength; sudden rotation of foundation fragments; torsion wave interference; underground pipeline.


In this article, we study the strength of underground pipelines, which are operated in difficult mining and geological
conditions in area full of tectonic faults. In such seismically active areas, in addition to the pressure load of the transported
product, the pipe is subjected to additional effects from the movements of the damaged foundation. When the movements are  transient,a dynamic analysis of the behavior of structures must be carried out. The aim of the study is to develop a model to describe the non-stationary process of deformation of the pipeline on the damaged foundation, caused by the sudden mutual reversal of several fragments of the base around the axis of the pipe. The dynamics of the pipeline was investigated in a linear setting, modeling it with an infinite tubular rod. We consider blocks of a basis to be absolutely rigid; the behavior of a thin layer of soil backfill is described with the help of Winkler's hypothesis. The kinematics of mutual rotations of the base fragments is given by discontinuous functions from the axial coordinate. The strength of the pipeline is assessed by summing the standard and non-standard stresses, while the pipe is considered a torque-free shell. This approach makes it possible to assess the strength of the underground pipeline not by the external load from the soil, which is usually unknown, but by the kinematic parameters of the movements of the fault banks. An initial-boundary value problem for the differential equation of torsion with a discontinuous right-hand side has been formulated. Based on the analytical solution of the problem, the influence of the interference of torsion waves excited by sudden reversals of the foundation fragments around the axis of the pipe on the stress state of the pipeline under pressure has been studied. It has been established that the dynamic effects significantly depend on the structure of the breaking movements of the foundation and on the distance between the faults.


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Mazur, II & Ivantsov, OM 2004, Safety of

piping systems, ELIMA, Moscow, 1104 p. (in Russian).

Kharionovskii, VV 2000, Reliability and

service life of gas pipeline structures, Nedra, Moscow,

p. (in Russian)

Borodavkin, PP 1982, Underground main

pipelines. Design and construction, Nedra, Moscow,

p. (in Russian)

Ainbinder, AB 1992, Calculation of main and

field pipelines for strength and stability, Nedra,

Moscow, 287 p. (in Russian)

Kryzhanivs’kyi, EI, Rudko, VP & Shats’kyi, IP

, ‘Estimation of admissible loads upon a pipeline in

the zone of sliding ground’, Materials Science, vol. 40,

iss. 4, pp. 547–551.

Velychkovych, AS, Andrusyak, AV, Pryhorovska,

TO & Ropyak, LY 2019, ‘Analytical model of oil

pipeline overground transitions, laid in mountain areas’,

Oil & Gas Science and Technology – Rev. IFP Energies

nouvelles, vol. 74, Article Number 65.

Orynyak, IV & Bogdan, AV 2007, ‘Problem

of large displacements of buried pipelines. Part 1.

Working out a numerical procedure’, Strength of

Materials, vol. 39, iss. 3, pp. 257–274.

Vazouras, P, Karamanos, SA & Dakoulas, P.

, ‘Mechanical behaviour of buried pipes crossing

active strike-slip faults’, Soil Dynamics and Earthquake

Engineering, vol. 61, pp. 164–180.

Trifonov, OV & Cherniy, VP 2012,

‘Elastoplastic stress-strain analysis of buried steel

pipelines subjected to fault displacements with account

for service loads’, Soil Dynamics and Earthquake

Engineering, vol. 33, iss. 1, pp. 54–62.

Zhang, J, Liang, Z & Han, CJ 2015, ‘Finite

element analysis of wrinkling of buried pressure

pipeline under strike-slip fault’, Mechanika, vol. 21,

iss. 3, pp. 31–36.

Shats’kyi, IP & Struk, AB 2009, ‘Stressed

state of pipeline in zones of soil local fracture’, Strength

of Materials, vol. 41, iss. 5, pp. 548–553.

Shatsky, IP & Struk, AB 2009, ‘Underground

pipeline strain in areas of local fracture of the body’,

Doovidi NAN Ukrainy, no. 12, pp. 69–74. (in Ukrainian)

Struk, AB 2019 ‘Underground pipeline

stresses caused by damage near anchor mounting’, Oil

and Gas Power Eng., no 2(32), pp. 53–60.

Shatskyi, I, Struk, A & Vaskovskyi, M 2017,

‘Static and dynamic stresses in pipeline built on

damaged foundation’, Trans. VŠB – TU Ostrava, Civ.

Eng. Ser., vol. 17, iss. 2, pp. 119–124.

Shatskyi, I, Vaskovskyi, M, Aksionov, V &

Venhrynyuk, T 2017, ‘Cyclic straining of pressurized

buried pipeline crossing the fault’, Proc. 22nd Int. Sci.

Conf. “MECHANIKA 2017” (19 May 2017, Kaunas,

Lithuania). Kaunas, pp. 351–354.

Rabotnov, Y N 1988, Mechanics of

deformable solids, Nauka, Moscow, 712 p. (in Russian).

Debnath, L & Bhatta, D 2014, Integral

transforms and their applications, CRC press, New

York, 806 p.

Abramowitz, M & Stigan, IA 1970,

Handbook of mathematical functions, Dover, New

York, 1046 p.

Shatskii, IP & Perepichka, VV 2013, ‘Shock

wave propagation in an elastic rod with a viscoplastic

externel resistance’, J. Appl. Mech. and Techn. Phys,

vol. 54, iss. 6, pp. 1016–1020.

Shatskyi, I & Perepichka, V 2018, ‘Problem

of dynamics for an elastic rod with decreasing function

of elastic-plastic external resistance’, In: Awrejcewicz J.

(eds). Dynamical Systems in Applications. DSTA 2017.

Springer Proc. in Mathematics & Statistics, Springer,

Cham, vol. 249, pp. 335–342.




How to Cite

Shatskyi, I. P., Vaskovskyi, M. I., & Perepichka, V. V. . (2021). Interference of torsion waves in the underground pipeline caused by the movement of the damaged foundation. JOURNAL OF HYDROCARBON POWER ENGINEERING, 7(1), 1–7.