Exact Solutions to Some Thermokarst Modeling Problems

Exact solutions have been constructed for some problems on thawing frozen soil in the process of water seeping into it as a result of the melting of underground ice and the associated violation of the mechanical integrity of the soil (thermokarst). Factors of thermokarst in frozen soil, determined by the specifics of heat and mass transfer in it, have been identified. The influence of the porosity of rocks, which changes during their melting, on the course of the thermokarst formation as a whole has been studied. An analytical solution to the problem of thermokarst is constructed. An expression was obtained for the rate of thermokarst formation in frozen soil.