Mathematical modeling of the development of the long profile of a deluvial slope

The process of formation of gentle deluvial (dominated by sheet erosion) slopes under the influence of anthropogenic load is investigated using a deterministic balance model in a 2D formulation. It is shown that the non-linear erosion model as a diffusion equation in partial derivatives with boundary conditions makes it possible to adequately reflect the dynamics of sheet erosion. The physical aspects of mass transfer in a laminar flow are considered, taking into account the mechanisms of separation and transport of soil particles in connection with the concept of critical velocity. The evolution of the profile of a deluvial slope is investigated. The results of the numerical experiment were used to analyze the mechanism of transfer of erosion products and the formation of profiles. The concept of diffusion-balance modeling is expanded by numerical, as well as computational experiments. Taking into account the detected high adequacy of the model, it can be used to describe the evolution of deluvial slopes.