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News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, 2025 Volume 27, Issue 1, Pages 133–142 (Mi izkab929)

System analysis, management and information processing

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

M. A. Georgievaab, I. M. Pershina

a Southern Federal University, 347922, Russia, Taganrog, 2 Chekhov street, building “I”
b 2Kabardino-Balkarian State University named after Kh.M. Berbekov, 360004, Russia, Nalchik, 173 Chernyshevsky street

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

UDC: 519.6;519.71

MSC: 86-10

Received: 10.12.2024
Revised: 29.01.2025
Accepted: 05.02.2025

DOI: 10.35330/1991-6639-2025-27-1-133-142



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© Steklov Math. Inst. of RAS, 2025