Development of a Physical and Mathematical Model for the Destruction of Mixed-Type Dams

When the body of dams of various types is destroyed, the problems of interaction of water flows with soil from local materials and with the concrete base of the dam, as well as the development of filtration processes in the body of the dam, become relevant. This model allows us to describe both the mechanism of failure of mixed-type dams and the erosion of soil in the coastal zone, for example, formed as a result of a breakthrough wave, which leads to catastrophic consequences. To obtain practical results, there is a need to simplify the processes being studied. The main problem in problems of soil erosion by turbulent water flow is an adequate description of sediment transport. Typically, for these purposes, semi-empirical formulas are used, obtained for various conditions (extremely rarely specified) and giving very different results. In this work, to describe the processes of soil erosion, the theory of the bottom layer is used, which makes it possible to derive a formula for sediment consumption theoretically. The proposed model combines approaches developed in well-known models of continuum theory and hydraulics.