Vestnik of Samara University. Natural Science SeriesVestnik of Samara University. Natural Science Series2541-75252712-8954Samara National Research University1015510.18287/2541-7525-2021-27-2-70-79Research ArticleINFLUENCE OF THE PARAMETERS OF THE BOTTOM BOREHOLE ZONE ON THE OWN VIBRATIONS OF THE LIQUID IN THE PUMP COMPRESSOR TUBINGRafikovaG. R.<p>Candidate of Physical and Mathematical Sciences, scientific secretary</p>rafikova_guzal@mail.ruhttps://orcid.org/0000-0003-3305-8586MamaevaZ. Z.<p>postgraduate student</p>zilia16@mail.ruhttps://orcid.org/0000-0002-7783-1211Mavlyutov Institute of Mechanics – Subdivision of the Ufa Federal Research Centre of the Russian Academy of Sciences3105202127270793003202230032022Copyright © 2021, Rafikova G.R., Mamaeva Z.Z.2021<p>The problem of natural oscillations of a liquid column in a tubing string, arising after a sudden opening or closing of a vertical well (water hammer), is considered. For this, a mathematical model has been built that describes the dynamics of the fluid column in the well and the filtration flow in the bottomhole zone, analytical solutions of the system of equations have been obtained. To determine the frequency, period, coefficient and decrement of damping of oscillations, a characteristic equation is found. The impact of such parameters as the length of the open section, the perforation zones of the well, the length of the tubing string, the permeability coefficient on the dynamic nature of natural pressure fluctuations has been analyzed.</p>скважинагидроударсобственные колебания жидкостичастота колебанийкоэффициент и декремент затуханияпризабойная зоназона перфорацииwellwater hammernatural fluid vibrationsvibration frequencydamping coefficient and decrementbottomhole formation zoneperforation zone[Gorbachev Yu.I. Well logging. Moscow: Nedra, 1990, 398 p. Available at: https://www.geokniga.org/books/2795. (In Russ.)][Koskov V.N. Geophysical survey of wells: textbook. Perm, 2004, 122 p. Available at: https://pstu.ru/files/file/gnf/gis.pdf. (In Russ.)][Trubetskoy K.N., Kaplunov D.R. (Eds.) Mining: Terminological dictionary. 5th edition, revised and enlarged. Moscow: Gornaya kniga, 2016, 635 p. Available at: https://www.geokniga.org/books/19823. (In Russ.)][Shagapov V.Sh., Bashmakov R.A., Rafikova G.R., Mamaeva Z.Z. Damped natural vibrations of fluid in a well interfaced with a reservoir. Journal of Applied Mechanics and Technical Physics, 2020, vol. 61, no. 4 (362), pp. 5–14. DOI: http://doi.org/10.15372/PMTF20200401. (In Russ.)][Guoqing H., Kegang L., Siew H.K., Zhang Z.He, Ram K.T. Simulation of Multiphase Fluid-Hammer Effects During Well Startup and Shut-in. Oil and Gas Facilities, 2013, vol. 2, issue 06, pp. 68–77. DOI: http://dx.doi.org/10.2118/160049-PA.][Yu S., Wei J., Shuanggui L., Yingjie Yu C. Wellbore annulus water hammer pressure prediction based on transient multi-phase flow characteristics. Oil & Gas Science and Technology, 2019, vol. 74, article number 84. DOI: http://dx.doi.org/10.2516/ogst/2019058.][Lyapidevsky V.Yu., Neverov V.V., Krivtsov A.M. Mathematical model of water hammer in a vertical well. Siberic Electronic Mathematical Reports, 2018, vol. 15, pp. 1687–1696. DOI: http://doi.org/10.33048/semi.2018.15.140. (In Russ.)][Wang X., Hovem K., Moos D., Quan Y. Water Hammer Effects on Water Injection Well Performance and Longevity. SPE International Symposium and Exhibition on Formation Damage Control, 2008, SPE 112282-MS. DOI: http://doi.org/10.2118/112282-MS.][Landau L.D., Lifshits E.M. Hydrodynamics. Moscow: Nauka, 1986, 736 p. Available at: http://www.immsp.kiev.ua/postgraduate/Biblioteka_trudy/GidrodinamikaLanday1986.pdf. (In Russ.)]