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Mathematical modeling of hydrolithosphere processes taking into account the processes in "wells"

https://doi.org/10.37493/2307-910X.2022.3.5

Abstract

The paper considers a mathematical model of the hydrolithospheric process, taking into account the "well" formed by a production well. A description of the mathematical model of the interaction of hydrolithospheric processes in the "well" with aquifers is given. The results of numerical modeling of hydrolithospheric processes show a significant influence of the “well” radius on the level decrease in the aquifer.

About the Authors

I. M. Pershin
North-Caucasus Federal University, Pyatigorsk Institute (branch) of NCFU Pyatigorsk
Russian Federation

Ivan M. Pershin - North Caucasus Federal University (branch in Pyatigorsk), Doctor of Technical Sciences, Professor, Professor of the Department of Management Systems and Information Technologies, Professor Kaf. APU of the St. Petersburg Electrotechnical University (LETI) named after V.I. Ulyanova (Lenin).



V. A. Nosova
North-Caucasus Federal University, Pyatigorsk Institute (branch) of NCFU Pyatigorsk
Russian Federation

Victoria A. Nosova - Master's student, St. Petersburg Mining University.



V. V. Tsapleva
North-Caucasus Federal University, Pyatigorsk Institute (branch) of NCFU Pyatigorsk
Russian Federation

Valentina V. Tsapleva - PhD in techniques, associate Professor Department of control systems and information technology, North-Caucasus Federal University (Branch in Pyatigorsk).

Phone: +7-961-488-80-39



References

1. Pershin I.M., Pomelyaiko I.S. Sistemnyi analiz ehkologicheskogo sostoyaniya zony gipergeneza kurorta Kislovodska. Vestnik Severo-Kavkazskogo federal'nogo universiteta. 2013. № 3 (36). S. 74-80.

2. Evseeva M.M., Rud' N.YU., Pershin I.M. Ehkologicheskaya obstanovka na kurorte Kavkazskie Mineral'nye Vody, sposoby ee kontrolya i uluchsheniya. Voprosy kurortologii, fizioterapii i lechebnoi fizicheskoi kul'tury. 2012. T. 89. № 5. S. 68-71.

3. Malkov A.V., Pershin I.M., Pomelyaiko I.S. Problemy ehkologicheskoi bezopasnosti gidromineral'noi bazy kurorta Kislovodsk. V sbornike: Aktual'nye problemy gidrolitosfery (diagnostika, prognoz, upravlenie, optimizatsiya i avtomatizatsiya). Sbornik dokladov. Redaktsionnaya kollegiya: Borodavkin P.P., Malkov A.V., Pershin I.M., 2015. S. 92-116.

4. Pershin I.M. Design of distributed systems of hydrolithosphere processes management. A synthesis of distributed management systems. / Pershin I.M Pervukhin D.A., Ilyushin Y.V., Afanaseva O.V//V sbornike: Innovations and Prospects of Development of Mining Machinery and Electrical Engineering - Power Supply of Mining Compa-nies. Ser. "Innovations and Prospects of Development of Mining Machinery and Electri-cal Engineering - Power Supply of Mining Companies" 2017. S. 032029. d o i :10.1088/1755-1315/87/3/032029

5. Pershin I.M .Peculiarities of modelling hydro-lithospheric processes in the region of Kavkazskiye Mineralnye Vody (caucasus mineral springs)/Drovosekova T.I., Pershin I.M.// V sbornike: Proceedings of the 19th International Conference on Soft Computing and Measurements, SCM 2016. 2016. S. 215-217.

6. Pershin I.M. Verifikatsiya diskretnykh modelei gidrolitosfernykh protsessov/ Pershin I.M., Tsapleva V.V., Nosova V. A. // Sovremennaya nauka i innovatsii. Nauchnyi zhurnal Vyp. №4(36), 2021. C.31-39.

7. Pershin I.M. Opredelenie parametrov raspredelennykh zven'ev, approksimiruyushchikh gidrolitosfernye protsessy/ Pershin I.M., Nosova V.A., Rusak S.N.// Sovremennaya nauka i innovatsii. Nauchnyi zhurnal Vyp. №2(34), 2021. 10-16.

8. Pershin I.M. Veselov G.E., Pershin M.I. Approksimatsionnye modeli peredatochnykh funktsii raspredelennykh ob"ektov. Izvestiya YUFU. Tekhnicheskie nauki. 2015. № 7 (168). S. 126-138.

9. Pershin I.M.,Kuz'min N.N., Malkov A.V. Formirovanie tselevykh funktsii v zadachakh upravleniya gidrolitosfernymi protsessami. V sbornike: 5-ya Rossiiskaya mul'tikonferentsiya po problemam upravleniya. Materialy konferentsii «Informatsionnye tekhnologii v upravleniI» (ITU-2012). 2012. S. 622-632.

10. Pershin I.M. Operational Control of Underground Water Exploitation Regimes/ Pershin I.M., Papush E.G., Malkov A.V., Kukharova T.V., Spivak A.O.// V sbornike: Proceedings of 2019 3rd International onference on Control in Technical Systems, CTS 2019. 2019. S. 77- 80. doi:10.1109/CTS48763.2019.8973323.

11. Pershin I.M. Chastotnaya kontseptsiya analiza i sinteza sistem s raspredelennymi parametrami. - Izdatel'stvo FGAOU«Severo-Kavkazskii federal'nyi universitet (filial SKFU v g. Pyatigorske), 357500, Stavropol'skii krai, g. Pyatigorsk, ul. Moskovskaya, 31, 08.02.2021 g. - 171 s.


Review

For citations:


Pershin I.M., Nosova V.A., Tsapleva V.V. Mathematical modeling of hydrolithosphere processes taking into account the processes in "wells". Modern Science and Innovations. 2022;(3):54-61. (In Russ.) https://doi.org/10.37493/2307-910X.2022.3.5

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ISSN 2307-910X (Print)