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

Autor:	A. V. Kulik, A. N. Salugin
Rok vydání:	2019
Předmět:	Diffusion equation Mass transfer Erosion Partial derivative Laminar flow Development (differential geometry) Mechanics Boundary value problem Critical ionization velocity Geology Earth-Surface Processes
Zdroj:	Geomorphology RAS. :59-65
ISSN:	2658-4530 0435-4281
DOI:	10.31857/s0435-42812019159-65
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a695bda0d5685d1b550b6fdcc58b8ab4 https://doi.org/10.31857/s0435-42812019159-65 Zobrazit plný text záznamu