Stochastic modeling of surfaces with modified Gauss functions

In this paper, we construct a mathematical model for estimating the mass of water flooding the coastline of a reservoir. The models of the relief of the bottom of the reservoir and the relief of the flooding part of the coastline are constructed by stochastic methods. The simulation is based on empirical data of measurements of depths of the reservoir and the study of level lines on maps of the coastal zone. The equations of the surface relief of the coastal zone are constructed by using empirical data from maps with level lines.