MODELING THE POTENTIAL HAZARD OF WATER EROSION OF SOILS

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.