The aim of the work is to develop a new analytical model of liquid solidification taking into account the phenomenon of free convection in horizontal, fluid-saturated, granular porous plates and to experimentally verify the theory. This model is based on previous theoretical research and experiments of the authors of this work. In order to determine the solidification front, the measuring cylinder method was used, in which the solidification front was determined indirectly by measuring the increase in water volume in a measuring cylinder connected to the test chamber. Based on the analysis of the phenomenon of free convection of water in a porous medium saturated with fluid, the heat transfer coefficient on the solidification surface was determined, which is an important parameter from the point of view of heat transfer. It was also deemed necessary to take into account the anomalous properties of water. The results of theoretical research were compared with the authors' experimental research and presented in pictorial form. Due to the great practical importance of the issue of freezing of the ground and elements of buildings and structures, it is necessary to understand this phenomenon as undesirable for the durability of building structures.