Geodesic
Mathematical model of water hammer in a vertical well
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1687-1696

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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. 
@article{SEMR_2018_15_a117,
     author = {V. Yu. Lyapidevskii and V. V. Neverov and A. M. Krivtsov},
     title = {Mathematical model of water hammer in a vertical well},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1687--1696},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a117/}
}
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V. Yu. Lyapidevskii; V. V. Neverov; A. M. Krivtsov. Mathematical model of water hammer in a vertical well. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1687-1696. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a117/