﻿ Various aspects of liquid and gas pressure metering in problems of statics of flexible bars | Engineering Journal: Science and Innovation
Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
Article

### Various aspects of liquid and gas pressure metering in problems of statics of flexible bars

Published: 24.11.2021

Authors: Ovchinnikov N.T.

Published in issue: #11(119)/2021

Category: Mechanics | Chapter: Mechanics of Liquid, Gas, and Plasma

In some practical applications, bars are loaded with the pressure of liquids and gases. Although the work of such objects is well studied and described in a large number of papers, some of the latter have wrongful provisions. For example, the equilibrium equations of a pipeline often include axial force instead of equivalent force, which reduces the accuracy of estimating the bending shape and acting stresses. The problem of accounting for pressure is due to the objectively more complex type of this loading in comparison with the forces of weight and insufficient distribution of the known provisions in engineering. This review and methodological paper focuses on a set of issues related to the loading of a bar by pressure. In the research, first, we obtained vector and linearized equations of equilibrium of the bar taking into account the load from the surface pressure. Then, we substantiated the equivalence of loading the bar with pressure and weight load determined by Archimedes’ law. Finally, we gave provisions for taking into account the pressure in the study of the equilibrium, stability, deformation, and strength of the bar. As an example, the effect of pressure in the problems of laying a pipeline on the seabed and evaluating the longitudinal stability of the bar is shown.

References
[1] Aynbinder A.B. Raschet magistralnykh i promyslovykh truboprovodov na prochnost i ustoychivost [Calculation of main and field pipelines for strength and stability]. Moscow, Nedra Publ., 1991, 287 p.
[2] Aynbinder A.B., Kamershteyn A.G. Raschet magistralnykh truboprovodov na prochnost i ustoichivost [Calculation of main pipelines for strength and stability]. Moscow, Nedra Publ., 1982, 341 p.
[3] Svetlitskiy V.A. Mekhanika truboprovodov i shlangov [Mechanics of pipelines and hoses]. Moscow, Mashinostroenie Publ., 1982, 279 p.
[4] Shammazov A.M., Zaripov R.M., Chichelov V.A., Korobkov G.E. Raschet i obespechenie prochnosti truboprovodov v slozhnykh inzhenerno-geologi-cheskikh usloviyakh. V 2 t. Tom 1. Chislennoe modelirovanie napryazhenno-deformirovannogo sostoyaniia i ustoychivosti truboprovodov [Calculating and ensuring the strength of pipelines in difficult engineering and geological conditions. In 2 vols., vol. 1. Numerical modeling of the stress-strain state and stability of pipelines]. Moscow, Inter Publ., 2005, 706 p.
[5] Glazkov A.S., Klimov V.P., Gumerov K.M. Problemy sbora, podgotovki i transporta nefti i nefteproduktov — Problems of Gathering, Treatment and Transportation of Oil and Oil Products, 2012, no. 1, pp. 63–70.
[6] Aleksandrov M.M. Vzaimodeystvie kolonn trub so stenkami skvazhiny [Interaction of pipe strings with borehole walls]. Moscow, Nedra Publ., 1982, 144 p.
[7] Borodavkin P.P., Berezin V.L., Shadrin O.B. Podvodnye truboprovody [Subsea pipelines]. Moscow, Nedra Publ., 1979, 415 p.
[8] Lebedev N.F. Dinamika gidravlicheskikh zaboynykh dvigateley [Dynamics of downhole hydraulic motors]. Moscow, Nedra Publ., 1981, 251 p.
[9] Klyushnikov V.D. Lektsii po ustoychivosti deformiruemykh system [Lectures on the stability of deformable systems]. Moscow, MSU Publ., 1986, 224 p.
[10] Feodosiev V.I. Izbrannye zadachi i voprosy po soprotivleniyu materialov [Selected tasks and questions on the strength of materials]. Moscow, Nauka, Fizmatlit Publ., 1996, 368 p.
[11] Dadashev B.B. Azerbaydzhanskoe neftyanoe khozyaystvo – Oil industry, 1940, no. 10–11, pp. 35–36.
[12] Moore P.I., Cole F.V. Does buoyancy cause buckling of drill collars and drill pipe? The Oil and Gas Journal, 1965, vol. 63, no. 37, pр. 108–110.
[13] Feodosiev V.I. Desyat lektsiy-besed po soprotivleniyu materialov [Ten lectures-talks on the strength of materials]. 2nd ed. Moscow, Nauka, Fizmatlit Publ., 1975, 176 p.
[14] Sidorov N.A., Grigoriev V.I. Napryazhennost i ustoychivost obsadnykh kolonn pod vliyaniem vnutrennego izbytochnogo davleniya [Tension and stability of casing strings under the influence of internal overpressure]. In: Razrabotka neftyanykh i gazovykh mestorozhdeniy [Development of oil and gas fields]. Moscow, 1963, pp. 193–200.
[15] Handelman G.H. Buckling under locally hydrostatic pressure. Journal of Applied Mechanics, 1946, vol. 13, no. 3, pp. A198–A200.
[16] Banatov V.P., Stolyarov V.A. Izvestiya vuzov. Neft i gaz — Oil and Gas Studies, 1973, no. 8, pp. 30–34.
[17] Borodavkin P.P., Berezin V.L. Sooruzhenie magistralnykh truboprovodov [Construction of trunk pipelines]. Moscow, Nedra Publ., 1977, 407 p.
[18] Lubinski A., Althouse W.S., Logan J.Z. Helical buckling оf tubing sealed in packers. Journal of Petroleum Technology, 1962, vol. 14, no. 6, рp. 655–670.
[19] Lubinski A., Blenkarn K.A. Buckling of tubing in pumping wells, its effects and means for controlling it. AIME Transactions, 1957, vol. 210, pp. 73–88.
[20] Palmer A.C., Baldry J.A.S. Lateral Buckling of Axially Constrained Pipelines. Journal of Petroleum Technology, 1974, vol. 26, no. 11, pp. 1283–1284.
[21] Mitchell R.F. Tubing buckling — the state-of-the-art. SPE Drilling & Completion, 2008, December 1, pp. 361–370.
[22] Fyrileiv O., Collberg L. Influence of pressure in pipeline design: effective axial force. Proceeding of OMAE2005 24th International Conference on Offshore Mechanics and Arctic Engineering, January 2005, pp. 629–636 DOI: 10.1115/OMAE2005-67502
[23] Kaarstad E., Aadnoy B.S. Theory and application of buoyancy in wells. Modern Applied Science, 2011, vol. 5, no. 3, рp. 15–32.
[24] Nergaard A.I. Effective force; fiction or reality? SPE Annual Technical Conference and Exhibition, 2015, September 28. DOI: 10.2118/174785-MS
[25] Nergaard A.I. The magic of buoyancy and hydrostatics — buoyancy and effective forces. Modern Applied Science. 2017, vol. 11, no. 12, рp. 77–83. DOI: 10.5539/mas.v11n12p77
[26] Samuel R., Kumar A. Effective force and true force: what are they? IADC/SPE Drilling Conference and Exhibition, 6–8 March, 2012. DOI: 10.2118/151407-MS
[27] Gay Neto A., Pimenta P.M., Martins C.A. Hydrostatic pressure load in pipes modeled using beam finite elements: theoretical discussions and applications. Journal of Engineering Mechanics, 2017, vol. 143, no. 4. Art. no. 04017003. DOI: 10.1061/(ASCE)EM.1943-7889.0001189
[28] Li Z. Using the fictitious force to judge the stability of pipe string is wrong. The Open Petroleum Engineering Journal, 2013, vol. 6, no. 1. рp. 57–60. DOI: 10.2174/1874834101306010057
[29] Ovchinnikov N.T. Izvestiya vuzov. Geologiya i razvedka — Proceedings of higher educational establishments. Geology and Exploration, 1979, no. 11, pp. 1–21, no. 3160–79 Dep.
[30] [Ovchinnikov N.T. Izvestiya vuzov. Geologiya i razvedka — Proceedings of higher educational establishments. Geology and Exploration, 1982, no. 3, pp. 145–150.
[31] Ovchinnikov N.T. Razrabotka metodov ucheta vliyaniya gidrostaticheskogo davleniya na napryazhenno-deformirovannoe sostoyanie kolonn trub pri bureniy i ekspluatatsii skvazhin. Avtoref. diss. kand. tek. nauk [Development of methods for accounting for the effect of hydrostatic pressure on the stress-strain state of pipe strings during drilling and well operation. Cand. eng. sc. author’s abstract]. Moscow, 1984, 24 p.
[32] Courant R. Differential and Integral Calculus. Ishi Press, 2010, 668 p. [In Russ.: Courant R. Kurs differentsialnogo i integralnogo ischisleniya. 4th ed. Moscow, Nauka, Fizmatlit Publ., 1970, 672 p.].
[33] Feodosiev V.I. Soprotivlenie materialov [Strength of materials.]. 5th ed. Moscow, Nauka Publ., 1970, 544 p.
[34] Ovchinnikov N.T. Territoriya neftegaz — Oil and Gas Territory, 2020, no. 11–12, pp. 90–101.