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

M.A. Georgieva, I.M. Pershin

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