Assessment of internal pressure effect, causing additional bending of the pipeline
- 1 — Ph.D., Dr.Sci. Professor Ufa State Petroleum Technological University
- 2 — Ph.D., Dr.Sci. Professor Ufa State Petroleum Technological University
- 3 — Ph.D., Dr.Sci. Professor Ufa State Petroleum Technological University
- 4 — Ph.D. Ufa State Petroleum Technological University
Abstract
Article justifies accounting for internal pressure effect in the pipeline, causing additional bending of the pipeline. According to some scientists, there is an erroneously used concept of the equivalent longitudinal axial force (ELAF) S x , which depends on working pressure, temperature stresses, and joint deformations of pipelines with various types of soils. However, authors of the article use ELAF S x concept at construction of mathematical model of stress-strain state (SSS) for complex section of the trunk pipeline, and also reveal it when analyzing the results of calculating the durability and stability of the pipeline. Analysis of SSS for calculated section of the pipeline was carried out for two statements of the problem for different values of operation parameters. In the first statement, effect of internal pressure causing bending of the pipeline is taken into account, and in the second it is neglected. It is shown that due to effect of ELAF S x at p 0 = 9.0 MPa, Dt = 29 °C extreme value of bend increases by 54 %, extreme values of bending stresses from span bending moment increase by 74 %, and extreme value of bending stresses from support bending moment double with regard to corresponding SSS characteristics of the pipeline. In case of neglecting the internal pressure effect causing additional bending of the pipeline (second statement of the problem), error in calculating the extreme value of bend is 35 %, extreme value of bending stresses from span bending moments is 44 %, and extreme value of bending stresses from support bending moments is 95 %.
References
- Ainbinder A.B., Kamershtein A.G. Calculation of trunk pipelines for durability and stability. Мoscow: Nedra, 1982, p. 340 (in Russian).
- Glazkov A.S., Klimov V.P., Gumerov K.M. Longitudinal-transverse bending of the pipeline in areas of soil changes. Problemy sbora, podgotovki i transporta nefti i nefteproduktov. 2012. N 1 (87), p. 63-70. DOI: 10.17122/ntj-oil-2012-1-63-70 (in Russian).
- Godunov S.K. Orthogonal sweep method for solving systems of difference equations. Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki. 1962. Vol. 2. N 6, p. 972-982 (in Russian).
- Gumerov K.M., Silverstov S.A. To assessment of longitudinal stability of trunk pipeline. Problemy sbora, podgotovki
- i transporta nefti i nefteproduktov. 2017. N 1 (107), p. 60-68. DOI: 10.17122/ntj-oil-2017-1-60-68 (in Russian).
- Gumerov K.M., Rakova L.N., Bularova V.M. Longitudinal stability of pipelines: Sbornik trudov Mezhdunarodnoi molodezhnoi nauchnoi konferentsii “Naukoemkie tekhnologii v reshenii problem neftegazovogo kompleksa”. Ufa, 19-24 dekabrya 2016 g, р. 193-197 (in Russian).
- Ilgamov M.A. Fluctuations of elastic shells containing liquid and gas. Мoscow: Nauka, 1969, p. 181 (in Russian).
- Ilgamov M.A. Static problems of hydroelasticity. Kazan: Institut mekhaniki i mashinostroeniya RAN, 1994, p. 208 (in Russian).
- Korobkov G.E., Zaripov R.M., Shammazov I.A. Numerical modeling of stress-strain state and stability of pipelines and reservoirs in complicated conditions. St. Petersburg: Nedra, 2009, p. 408 (in Russian).
- Myachenkov V.I., Maltsev V.P. Methods and algorithms for calculating spatial structures on ES computer. Мoscow: Mashinostroenie, 1984, p. 280 (in Russian).
- Bakhtizin R.N., Zaripov R.M., Korobkov G.E., Masalimov R.B. Ensuring the durability of underground section
- of the pipeline in karst zone when installing various types of compensators. Neftyanoe khozyaistvo. 2018. Vol. 3, p. 82-84. DOI: 10.24887/0028-2448-2018-3-82-84 (in Russian).
- Petrov I.P., Spiridonov V.V. Above ground installation of the pipelines. Мoscow: Nedra, 1973, p. 472 (in Russian).
- Shammazov A.M., Zaripov R.M., Chichelov V.A., Korobkov G.E. Calculation and ensuring the durability of pipelines in difficult engineering and geological conditions. Vol. 1. Numerical modeling of stress-strain state and stability of pipelines. Мoscow: Inter, 2005, p. 705 (in Russian).
- Bakhtizin R.N., Zaripov R.M., Korobkov G.E., Masalimov R.B. Calculated justification for return of the pipeline to project position and ensuring its durability by changing its design. Izvestiya Ufimskogo nauchnogo tsentra Rossiiskoi akademii nauk. 2017. N 1, p. 9-16 (in Russian).
- Bakhtizin R.N., Zaripov R.M., Korobkov G.E., Masalimov R.B., Usmanov I.F. Estimated justification for installation of supporting compensators in karst zone on a potentially hazardous section of gas pipeline. Gazovaya promyshlennost. 2018. N 3 (765), p. 72-77 (in Russian).
- Svetlitskii V.A. Pipelines and hoses mechanics. Мoscow: Mashinostroenie, 1982, p. 280 (in Russian).
- SP 36.13330.2012. Trunk pipelines. Updated edition of SNiP 2.05.06-85. Мoscow: Gosstroi, FAU “FTsS”, 2013, p. 92
- (in Russian).
- Feodosev V.I. Selected tasks and questions on resistance of materials. Мoscow: Nauka, 1973, p. 400 (in Russian).
- Filin A.P. Applied mechanics of a solid deformable body. Vol. 2. Мoscow: Nauka, 1978, p. 616 (in Russian).
- Tang D.M., Ilgamov M.A., Dowell E.H. Buckling and post-buckling behaviour of a pipe subjected to internal pressure. Journal of Applied Mechanics. 1995. Vol. 62. Iss. 3, p. 595-600. DOI: 10.1115/1.2895987