MATHEMATICAL MODELING

Estimation of the depth of the soil freezing under the layer of snow considering the air convection in the mass of the snow

I. M. Zhekamukhova

Kabardino-Balkar State University, Nal'chik

Abstract: This work puts up the general problem of the soil freezing under the layer of snow, in which the presence of the grass layer on the surface and convection air movement in the mass of snow under the influence of the tempera-ture gradient are considered. The existence of this convection air movement in the snow leads to the special type of non-linearity in the problem of soil freezing. On the basis of the quasi-stationary method the analytic formula is developed to estimate the depth of freezing. The work shows that the presence of the grass layer decreases the freezing depth considerably while the existence of the air convection increases it but by few centimeters.

Keywords: air convection, snow cover, quasi-stationary method

UDC: 551.525.4/5