Abstract
The article deals with the most important and urgent problems of ground strength against the backdrop of the earth leakage and the rise of ground water level as a result of the widespread flooding of the areas under construction.The purpose of this article is the development of an original mathematical model, which can calculate the process of polycondensational gel SiO2 leaching. The use of silica gel can slow down the destruction of loessial soils, increase the safety factor for the stabilization of soil which is influenced by different groundwater. The Bloch equation became the simplest and most convenient basis for the mathematical model of the research. The physical content of the equation says that the more concentration of the reagent into the dissolution differs from its limit in the given groundwater, the higher transient rate of this reagent into the dissolution. The principal result of this article is the use of this model in building and construction against the backdrop of the stabilized soils will significantly increase the efficiency and provide the economic impact. The use of this model will increase the processing speed and reduce the cost of construction process thanks to the accurate estimate of costs. The article describes the modern problems of innovative technological solutions. The mathematical model can be applied in calculations of modern computer aided design. This mathematical model enabled to create soil stability indexes according to the calculation data of the gel SiO2 leaching amount in different water environment and the silicified soils, using the different ground stabilization methods. These indices may be used during the silicified soil rigidity calculations. The application of these indices enables to reduce the essential alkali silicate of 1.4 density consumption and to avoid the reliance on the realization of the expensive experiments for the stabilized soil rigidity definition in each specific case.
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