Purpose: to create digital models of water erosion factors in the form of parametric response surfaces and systems of point equations and to determine functional links between them and the geometric parameters of the micro- and nanorelief of a soil surface area.
Materials and methods. The method for modeling erosion processes is based on the materials and methods of the mathematical apparatus of point calculus, which make it possible to represent erosion processes caused by a set of potential hazard factors in the form of their point analogs – response surfaces and systems of point equations. It is noted, that the use of point calculus for constructing response surfaces of this type allows getting away from cumbersome mathematical models and makes it possible to obtain numerical values at any point on the analyzed surface.
Results. Formalized geometric models of response surfaces and systems of point equations of factors were obtained: formation of sediment layer thickness, water runoff and its absorption by soil at an arbitrary point on the surface of a land plot.
Conclusions. The obtained models of factors of the water erosion process of soils are a mathematical basis for the development of digital models of micro- and nanorelief of the surface of fields with the possible use of satellite remote sensing technologies of the Earth of the VEGA-Science service. The need to develop models of water flow velocity at an arbitrary point on the surface, slope angles and length, vegetation and crop rotations and the effectiveness of anti-erosion measures is noted, which will allow creating a digital monitoring system to determine the potential danger of water erosion of soils.
doi: 10.31774/2712-9357-2025-15-3-169-185
point calculus, soil erosion modeling, response surface, precipitation intensity, precipitation duration, remote sensing, field terrain
Karaiev A. I., Tolstolik L. N., Radev S. Y. Modeling the potential hazard of water erosion of soils. Land Reclamation and Hydraulic Engineering. 2025;15(3):169–185. (In Russ.). https://doi.org/10.31774/2712-9357-2025-15-3-169-185.
1. Bourema D., 2021. Modeling of Soil Erosion by Water in the Provinces of Sikasso and Koulikoro (Republic of Mali). Anthropogenic Transformation of Nature, vol. 7, no. 2, pp. 36-48, DOI: 10.17071/2410-8553-2021-2-36-48, EDN: NKRVWO.
2. Popov L.G., Kuharuk E.S., 2020. Sovremennoe sostoyanie i perspektivy razvitiya is-sledovaniy po zashchite pochv ot erozii v Respublike Moldova [Current status and development prospects of studies research on soil protection against erosion in the Republic of Moldova]. Sakharovskie chteniya 2020 goda: ekologicheskie problemy XXI veka: materialy 20-oy mezhdunarodnoy nauchnoy konferentsii [Sakharov Readings 2020: Environmental Problems of the 21st Century: Proceed. of the 20th International Scientific Conference]. In 2 parts, pt 1. Minsk, Institute of Agricultural Sciences of the Republic of Belarus, pp. 284-287, DOI: 10.46646/SAKH-2020-1-284-287, EDN: EXDNMF. (In Russian).
3. Litvin L.F., 2002. Geografiya erozii pochv sel'skokhozyaystvennykh zemel' Rossii [Geography of Soil Erosion on Agricultural Lands in Russia]. Moscow State University named after M. V. Lomonosov, Geographical faculty. Moscow, Akademkniga Publ., 255 p. (In Russian).
4. Rulev A.S., Yuferov V.G., Yuferov M.V., 2013. Geoinformatsionnye issledovaniya erozionnoy degradatsii v agrolandshaftakh [Geoinformation studies of erosion degradation in agricultural landscapes]. Izvestiya Nizhnevolzhskogo agrouniversitetskogo kompleksa: nauka i vysshee professional'noe obrazovanie [Bullet. of the Lower Volga Agrarian University Complex: Science and Higher Education], no. 2(30), pp. 84-88, EDN: QCWVEJ. (In Russian).
5. Podlesnykh I.V., Zarudnaya T.Ya., 2017. K usovershenstvovaniyu teoreticheskikh osnov protivoerozionnoy organizatsii territorii sel'khozpredpriyatiy dlya formirovaniya ekologicheski sbalansirovannykh agrolandshaftov v sistemakh zemledeliya Tsentral'nogo Chernozem'ya [To the Improvement of the theoretical foundations of anti-erosion organization of the territory of agricultural enterprises for the formation of ecologically balanced agricultural landscapes in the farming systems of the Central Black Earth Region]. Vestnik Kurskoy sel'skokhozyaystvennoy akademii [Bullet. of Kursk Agricultural Academy], no. 6, pp. 13-18, EDN: ZIZQSH. (In Russian).
6. Ermolaev N.R., Yudin S.A., Belobrov V.P., 2019. Otsenka potentsiala vodnoy erozii pochv Stavropol'skogo karya na osnove faktornoy modeli RUSLE [Assessment of soil water erosion potential in the Stavropol territory based on the RUSLE factor model]. Sel'skokhozyaystvennyy zhurnal [Agricultural Journal], no. 3(12), pp. 1-12, DOI: 10.25930/0372-3054/001.3.12.2019, EDN: SVYBBG. (In Russian).
7. Sukhanovsky Yu.P., Prushchik A.V., 2023. Modelirovanie vodnoy erozii pochv: monografiya [Modeling of Water Erosion of Soils: monograph]. Kursk, KFANTS Publ., 175 p. (In Russian).
8. Kotova M.M., 2003. Kolichestvennaya otsenka erozionnoy opasnosti s ispol'zovaniem GIS i modeli erozii WEPP [Quantitative assessment of erosion hazard using GIS and the WEPP erosion model]. Teoreticheskie i prikladnye voprosy izucheniya i ispol'zovaniya pochvenno-zemel'nykh resursov: tezisy Mezhdunarodnoy nauchno-prakticheskoy konferentsii, posvyashch. 70-letiyu kafedry pochvovedeniya BGU [Theoretical and Applied Issues of Studying and Using Soil and Land Resources: Abstracts of the International Scientific-Practical Conf., Dedicated to the 70th Anniversary of the Department of Soil Science of BSU]. Minsk, BSU, pp. 152-155. (In Russian).
9. Balyuba I.G., Konopatsky E.V., 2020. Tochechnoe ischislenie. Istoricheskaya spravka i osnovopolagayushchie opredeleniya [Point calculus. Historical background and Basic definitions]. Fiziko-tekhnicheskaya informatika (SRT 2020): materialy 8-oy Mezhdunarodnoy konferentsii [Physical and Technical Informatics (SRT 2020): Proceed. of the 8th International Conference]. Nizhny Novgorod, Research Center of Physical and Technical Informatics, part 2, pp. 321-327, DOI: 10.30987/conferencearticle_5fd755c0adb1d9.27038265, EDN: DOMLNV. (In Russian).
10. Konopatsky E.V., 2019. Podkhod k postroeniyu geometricheskikh modeley mnogofaktornykh protsessov mnogomernoy interpolyatsii [Approach to the Construction of Geometric Models of Multifactor Processes and Phenomena by the Method of Multidimensional Interpolation]. Programmnaya inzheneriya [Software Engineering], vol. 10, no. 2, pp. 77-86, DOI: 10.17587/prin.10.77-86, EDN: POFNKR. (In Russian).
11. Lavrennikova O.A., Krylova A.A., 2024. Metodologiya proektirovaniya informationnykh sistem v zemleustroystve pri raschetakh smyva pochvy ot vodnoy erozii [Methodology for information systems design in land management when calculating soil loss from water erosion]. Innovatsionnoe razvitie zemleustroystva: sb. nauch. trudov Vserossiyskoy (nats.) nauchno-prakticheskoy konferentsii [Innovative Development of Land Management: Coll. of Scientific Papers of the All-Russian (National) Scientific and Practical Conference]. Samara, IBC Samara State Agrarian University, pp. 179-190, EDN: ZWVMIA. (In Russian).
Information about the research work, on results of which the article is published: the work has been carried out and financed within the framework of the State assignment on the theme: “Rational use of natural resources and increasing the sustainability of agrocenoses”, registration number NIOKTR is: 124040200008-7.
