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Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 1687–1696 (Mi semr1031)  

Computational mathematics

Mathematical model of water hammer in a vertical well

V. Yu. Lyapidevskiia, V. V. Neverova, A. M. Krivtsovb

a Lavrentyev institute of hydrodynamics SB RAS, pr. Acad. Lavrentyeva 15, 630090, Novosibirsk, Russia
b Peter the Great St. Petersburg Polytechnic University, st. Politekhnicheskaya, 29, 195251, Saint Petersburg, Russia

Abstract: In this paper we develop a mathematical model of a wave packet formation due to rapid shut-in of water injector connected with fluid-filled reservoir. A numerical solution of this model have been found and a comparison between the experiments and a numerical simulations have been perfomed. Also we are focused on the optimal parameters choice to provide good accordance between numerical and experimental data.

Keywords: water hammer, nonlinear acoustics, wellbore flow, weakly compressible fluid.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation RFMEFI57517X0146


DOI: https://doi.org/10.33048/semi.2018.15.140

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Document Type: Article
UDC: 532.59
MSC: 76Q05
Received November 30, 2018, published December 19, 2018

Citation: V. Yu. Lyapidevskii, V. V. Neverov, A. M. Krivtsov, “Mathematical model of water hammer in a vertical well”, Sib. Èlektron. Mat. Izv., 15 (2018), 1687–1696

Citation in format AMSBIB
\Bibitem{LyaNevKri18}
\by V.~Yu.~Lyapidevskii, V.~V.~Neverov, A.~M.~Krivtsov
\paper Mathematical model of water hammer in a vertical well
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 1687--1696
\mathnet{http://mi.mathnet.ru/semr1031}
\crossref{https://doi.org/10.33048/semi.2018.15.140}


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