Abstract
The brief information presented on the unexpected resurfacing of two lines at the underwater crossing through the Baidaratskaya Bay in Yamal indicates that in the course of the development of projects, full studies were not carried out on the issues of ensuring the strength and stability and maintaining the gas pipelines in the design position. To identify one of the main reasons for the ascent, the problem of the stress-strain state of the underwater section of the offshore gas pipeline was posed and solved, taking into account partial and complete flooding of the soil in separate underground parts. The considered underwater section of the underwater gas pipeline in the design scheme is conditionally divided into three parts. In its middle part there is a blurred bare part, which is formed due to liquefaction and erosion of the soil. Underground parts adjoin it on the left and right. A one-dimensional rod system in an elastic medium, consisting of curvilinear and straight three-layer rods of a tubular section and their junctions, is taken as a mathematical model of the calculated section of the gas pipeline. The stress-strain state of the rod element is described by a system of differential equations, which consists of geometric and physical nonlinear relationships, nonlinear differential equilibrium equations. The solution of the problem is carried out by the method of finite elements in displacements. A numerical experiment has found the critical values of the operation parameters and the shape of the bend of the gas pipeline preceding its ascent for different lengths of the washed-out bare part, changes in the state of the soil in the underground parts and various values of the gas pipeline operation parameters.
Similar content being viewed by others
REFERENCES
T. I. Lapteva and M. N. Mansurov, “Development of methods to ensure the operability of offshore gas pipelines in the Arctic shelfs conditions,” in Reliability and Safety of Operation of the Linear Part of Main Gas and Oil Pipelines: Collection of Scientific Papers of the Expert-Engineering Company “EXICOM,” No. 1 (RGU Nefti I Gaza, Moscow, 2018), pp. 27–30.
T. I. Lapteva, “Improving the safe operation of offshore pipelines in difficult engineering and geological conditions of the Arctic shelf,” Neft’ Gaz. Novatsii, No. 5. C. 63–65 (2018).
T. I. Lapteva, M. N. Mansurov, M. V. Shabarchina et al., “Operational reliability of the offshore pipelines in the severe engineering-geological conditions of the continental shelf of Russia,” Bezopasn. Truda Prom. No. 1, 30–34 (2018). https://doi.org/10.24000/0409-2961-2018-1-30-34
T. I. Lapteva, M. N. Mansurov, M. V. Shabarchina, and L. A. Kopaeva, “Offshore pipelines in the transit zone of the Arctic shelf. Provision,” Oil Gas J. Russ., No. 9, 78–84 (2018).
T. I. Lapteva, Doctoral Dissertation in Technical Sciences (Gazprom VNIIGAZ, Moscow, 2019).
K. Bi and H. Hao, “Using pipe-in-pipe systems for subsea pipeline vibration control,” Eng. Struct. 109, 75–84 (2016). https://doi.org/10.1016/j.engstruct.2015.11.018
F. Davaripour, B. W. T. Quinton, and K. Pike, “Effect of damage progression on the plastic capacity of a subsea pipeline,” Ocean Eng. 234, 109118 (2021). https://doi.org/10.1016/j.oceaneng.2021.109118
A. Cheng and N.-Z. Chen, “Corrosion fatigue crack growth modelling for subsea pipeline steels,” Ocean Eng. 142, 10–19 (2017). https://doi.org/10.1016/j.oceaneng.2017.06.057
G. G. Vasiliev, Yu. A. Goryainov, and A. I. Saksagansky, “Advantages and disadvantages of modern approaches to the ballasting of underwater crossings,” Zh. Neftegaz. Stroit., No. 1, 30-37 (2012).
Rules for the Classification and Construction of Offshore Underwater Pipelines. ND No. 020301-005 (Russian Maritime Register of Ship**, St. Petersburg, 2017) [in Russian].
A. C. Palmer and R. A. King, Subsea Pipeline Engineering (PWC, Oklahoma, 2004).
R. Peek and H. Yun, “Flotation to trigger lateral buckles in pipelines on a flat seabed,” J. Eng. Mech. 4, 442–451 (2007). https://doi.org/10.1061/(ASCE)0733-9399(2007)133:4(442)
S. A. Ogorodov, The Sea Ice Role in the Coastal Zone Relief Dynamics (MGU, Moscow, 2011) [in Russian].
A. S. Shestov, A. V. Marchenko, and S. A. Ogorodov, “Mathematical modeling of the impact of ice formations on the bottom of the Baydaratskaya Karsky Bay,” Trudy TsNII im. Akad. A.N.Krylova, Iss. 5, No. 63 (347), 105–118 (2011).
E. V. An and T. R. Rashidov, “Seismodynamics of underground pipelines interacting with water-saturated fine-grained soil,” Mech. Solids 50, 305–317 (2015). https://doi.org/10.3103/S0025654415030073
Z. Hong, R. Liu, W. Liu, and S. Yan, “Study on lateral buckling characteristics of a submarine pipeline with a single arch symmetric initial imperfection,” Ocean Eng. 10, 21–32 (2015). https://doi.org/10.1016/j.oceaneng.2015.07.049
K. Bi and H. Hao, “Using pipe-in-pipe systems for subsea pipeline vibration control,” Eng. Struct. 109, 75–84 (2016). https://doi.org/10.1016/j.engstruct.2015.11.018
M. Sh. Israilov, “Coupled seismic vibrations of a pipeline in an infinite elastic medium,” Mech. Solids 51, 46–53 (2016). https://doi.org/10.3103/S0025654416010052
A. Cheng and N.-Z. Chen, “Corrosion fatigue crack growth modelling for subsea pipeline steels,” Ocean Eng. 142, 10–19 (2017). https://doi.org/10.1016/j.oceaneng.2017.06.057
A. I. Novikov, T. I. Lapteva, L. A. Kopaeva, and A. Bokhan, “Offshore pipelines in the transit zone. Methods of protection against ice-exarating effects,” Offshore Rus., No. 4 (18), 62–67 (2017).
M. A. Il’gamov, “Dynamics of a pipeline under the action of internal shock pressure,” Mech. Solids 52, 663–674 (2017). https://doi.org/10.3103/S0025654417060061
L. D. Akulenko, A. A. Gavrikov, and S. V. Nesterov, “Natural vibrations of a liquid-transporting pipeline on an elastic base,” Mech. Solids 53, 101–110 (2018). https://doi.org/10.3103/S0025654418010120
R. F. Zaripov and G. E. Korobkov, “Protection of arctic pipelines,” Delovoy Zh. Neftegaz. RU, No. 12 (84), 28–33 (2018).
M. M. Shakiryanov, “Spatial nonlinear oscillations of a pipeline under the action of internal shock pressure,” Mech. Solids 54, 1189–1196 (2019). https://doi.org/10.3103/S0025654419080090
Z. Wang and Y. Tang, “Study on symmetric buckling mode triggered by dual distributed buoyancy sections for subsea pipelines,” Ocean Eng. 216, 108019 (2020). https://doi.org/10.1016/j.oceaneng.2020.108019
Y. Chen, S. Dong, et al., ”Buckling analysis of subsea pipeline with idealized corrosion defects using homotopy analysis method,” Ocean Eng. 234, 108865 (2021). https://doi.org/10.1016/j.oceaneng.2021.108865
M. A. Ilgamov, “Model of underwater pipeline flotation,” Dokl. Phys. 67, 123–127 (2022). https://doi.org/10.1134/S1028335822050020
V. V. Bolotin and Yu. N. Novichkov, Mechanics of Multilayer Structures (Mashinostroienie, Moscow, 1980) [in Russian].
A. M. Shammazov, R. M. Zaripov, V. A. Chichelov, and G. E. Korobkov, Calculation and Ensuring the Strength of Pipelines in Difficult Engineering and Geological Conditions. Vol. 1: Numerical Simulation of the Stress-Strain State and Stability (Inter, Moscow, 2005) [in Russian].
G. E. Korobkov, R. M. Zaripov, and I. A. Shammazov, Numerical Modeling of the Stress-Strain State and Stability of Pipelines in Complicated Operating Conditions (Nedra, St. Petersburg, 2009) [in Russian].
A. M. Shammazov, R. M. Zaripov, V. A. Chichelov, and G. E. Korobkov, Calculation and Ensuring the Strength of Pipelines in Difficult Engineering and Geological Conditions. Vol. 2: Assessment and Ensuring the Strength of Pipelines (Inter, Moscow, 2006) [in Russian].
A. B. Ainbinder and A. G. Kamerstein, Calculation of Trunk Pipelines for Strength and Stability (Nedra, Moscow, 1982) [in Russian].
V. A. Svetlitskii, Mechanics of Pipelines and Hoses (Mashinostroenie, Moscow, 1982) [in Russian].
V. I. Myachenkov and V. P. Maltsev, Methods and Algorithms for Calculating Spatial Structures on a computer EVM ES (Mashinostroienie, Moscow, 1984) [in Russian].
Author information
Authors and Affiliations
Corresponding authors
Additional information
Translated by I. K. Katuev
About this article
Cite this article
Zaripov, R.M., Masalimov, R.B. Numerical Modeling of the Stress-Strain State of an Underwater Offshore Gas Pipeline, Taking into Account Soil Liquefaction and Operating Parameters. Mech. Solids 58, 1171–1183 (2023). https://doi.org/10.3103/S0025654423700188
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0025654423700188