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“NEWS OF THE KABARDINO-BALKARIAN

SCIENTIFIC CENTER OF RAS”

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The journal was founded in 1998, 6 issues per year
ISSN 1991-6639 (print), ISSN 2949-1940 (online)

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Mathematical modeling of mutual influence of atmospheric precipitation and hydrolithospheric processes on inclined surfaces

M.A. Georgieva, I.M. Pershin

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Abstract. This paper presents a mathematical model describing interaction of atmospheric precipitation and hydrolithospheric processes on sloping surfaces. The model takes into account the key factors influencing formation of surface and subsurface runoff, soil erosion and relief change. The modeling results demonstrate dependence of intensity of erosion processes on precipitation features and geomorphological parameters of slopes. The results obtained can be applied for prediction of erosion processes and development of effective soil protection measures.

Keywords: mathematical modeling, hydrolithospheric processes, system analysis, atmospheric precipitation, erosion processes

For citation. Georgieva M.A., Pershin I.M. Mathematical modeling of mutual influence of atmospheric precipitation and hydrolithospheric processes on inclined surfaces. News of the Kabardino-Balkarian Scientific Center of RAS. 2025. Vol. 27. No. 1. Pp. 133–142. DOI: 10.35330/1991-6639-2025-27-1-133-142

References
  1. Pershin I.M., Pervukhin D.A., Ilyushin Y.V., Afanaseva O.V. Design of distributed systems of hydrolithosphere processes management. A synthesis of distributed management systems. Innovations and Prospects of Development of Mining Machinery and Electrical Engineering – Power Supply of Mining Companies, Saint-Petersburg, 23–24 march 2017. Saint-Petersburg, 2017. 87(3). P. 032029.  DOI: 10.1088/1755-1315/87/3/032029
  2. Georgieva M.A. Systems analysis of erosion-channel processes. Sovremennaya nauka i innovatsii [Modern science and innovation]. 2023. No. 4. Pp. 32–40. DOI: 10.37493/2307-910X.2023.4.4. (In Russian)
  3. Pershin I.M., Veselov G.E., Pershin M.I. Approximation models of transfer functions of distributed objects. Izvestiya YUFU. Tekhnicheskiye nauki [Bulletin of SFedU. Technical sciences]. 2015. No. 7(168). Pp. 126–138. (In Russian)
  4. Drovosekova T.I., Pershin I.M. Peculiarities of modelling hydro-lithospheric processes in the region of Kavkazskiye Mineralnye Vody (Caucasus Mineral Springs). Proceedings of the 19th International Conference on Soft Computing and Measurements, SCM 2016, Saint Petersburg, may 25–27, 2016. Saint Petersburg: Institute of Electrical and Electronics Engineers Inc., 2016. Pp. 215–217. DOI: 10.1109/SCM.2016.7519732
  5. Georgieva M.A. Development of an algorithm for controlling erosion processes in the channel subsystem of mountain and foothill landscapes. Sovremennaya nauka: aktual’nyye problemy teorii i praktiki. Seriya: Yestestvennyye i tekhnicheskiye nauki [Modern science: current problems of theory and practice. Series: Natural and technical sciences]. 2022. No. 1–2. Pp. 23–26. DOI: 10.37882/2223-2966.2022.01-2.05. (In Russian)
  6. Pershin I.M., Malkov A.V., Krishtal V.A.  Construction of a control system for the parameters of operation of a mineral water extraction system in the Caucasian Mineral Waters region. Sovremennaya nauka i innovatsii [Modern Science and Innovations]. 2013. No. 1(1). Pp. 17–23. (In Russian)
  7. Pershin I.M., Pomelyayko I.S. System analysis of the ecological state of the hypergenesis zone of the Kislovodsk resort.  Vestnik Severo-Kavkazskogo federal’nogo universiteta [Bulletin of the North Caucasian Federal University]. 2013. No. 3(36). Pp. 74–80. (In Russian)
  8. Pershin I.M., Veselov G.E., Pershin M.I. Methods of approximation of transfer functions of distributed objects. Sistemnyy sintez i prikladnaya sinergetika: sbornik nauchnykh trudov VII Vserossiyskoy nauchnoy konferentsii. Taganrog, 05–09 oktyabrya 2015 goda [System synthesis and applied synergetics: Collection of scientific papers of the VII All-Russian scientific conference. Taganrog, October 5–9, 2015]. Taganrog: Yuzhnyy federal’nyy universitet, 2015. Pp. 106–117. (In Russian)
  9. Pershin I.M., Papush E.G., Malkov A.V. et al. Operational Control of Underground Water Exploitation Regimes. Proceedings of 2019 3rd International Conference on Control in Technical Systems, CTS 2019, St. Petersburg, 30 October 2019 – 01 November 2019. St. Petersburg: Institute of Electrical and Electronics Engineers Inc., 2019. Pp. 77–80. DOI: 10.1109/CTS48763.2019.8973323
  10. Malkov A.V., Pershin I.M. Problems of environmental safety of the hydromineral base of  the  Caucasian  Mineral  Waters.  Shkola  kavkazskogo  gostepriimstva:  perspektivy  razvitiya i kadrovoye obespecheniye: materialy Vserossiyskoy nauchno-prakticheskoy konferentsii. Pyatigorsk, 20–21 aprelya 2018 goda [School of Caucasian hospitality: development prospects and  staffing:  materials  of  the  All-Russian  scientific  and  practical  conference.  Pyatigorsk, April  20–21,  2018]. Vol. II. Pyatigorsk:  Severo-Kavkazskiy  federal’nyy  universitet,  2018.  Pp. 19–24. (In Russian)
  11. Kukharova T.V., Pershin I.M., Utkin V.A. Modeling of a Decision Support System for a Psychiatrist  Based  on  the  Dynamics  of  Electrical  Conductivity  Parameters.  Proceedings of the 2021 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering, ElConRus 2021, Moscow, January 26–28, 2021. Moscow, 2021. Pp. 975–978. DOI: 10.1109/ElConRus51938.2021.9396273
  12. Malkov A.V., Pershin I.M. Sistemnyy analiz gidrolitosfernykh protsessov [Systems analysis of hydrolithospheric processes]: Textbook. Stavropol: Severo-Kavkazskiy federal’nyy universitet, 2015. 96 p. (In Russian)
Information about the authors

Mariana A. Georgieva, Postgraduate Student, Institute of Computer Technologies and Information Security, Department of Synergetics and Control Processes named after Prof. Anatoly Arkadievich Kolesnikov, Southern Federal University;

347922, Russia, Taganrog, 2 Chekhov street, building “I”;

Senior Lecturer, Department of Computer Technologies and Information Security, Kabardino-Balkarian State University named after Kh.M. Berbekov;

360004, Russia, Nalchik, 173 Chernyshevsky street;

maryana.g@list.ru, ORCID: https://orcid.org/0000-0002-2134-6719, SPIN-code: 8765-7500

Ivan M. Pershin, Doctor of Engineering Sciences, Professor of the Department of Synergetics and Control Processes named after Prof. Kolesnikov Anatoly Arkadievich, Institute of Computer Technologies and Information Security, Southern Federal University;

347922, Russia, Taganrog, 2 Chekhov street, building “I”;

ivmp@yandex.ru, ORCID: https://orcid.org/0000-0002-7618-1173, SPIN-code: 2734-5711

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