Numerical modeling of soil for structures foundation in permafrost conditions with local heating

• Main Author: Sergeyev, Filipp
• Format: Conference Proceeding
• Language: English
• Subjects: Absorptivity; Algorithms; Boundary conditions; Degradation; Frozen ground; Gas wells; Mathematical analysis; Mathematical models; Model accuracy; Numerical models; Permafrost; Regularization; Settling; Soil structure; Solar energy; Solar radiation; Temperature; Thermal insulation; Thermodynamics
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/5.0103530

The climatic changes observed in recent years, associated with an increase in the average annual temperature, cause the degradation of permafrost in the northern territories. Degradation of permafrost at the base of the building leads to uneven settlements under the foundations of buildings and structures that were not taken into account in the design process. In this regard, increasing the accuracy of numerical modelling of the temperature regime of the soil base of structures on permafrost is of particular relevance. The inclusion of insolation in the number of external factors taken into account in the model corresponds to this trend. However, in practice, determining the absorbed solar energy by the ground surface is not an easy task. The article proposes an algorithm for a numerical solution of the inverse boundary problem for the Newton's boundary condition of the heat equation. Local regularization of a nonlocal boundary condition is used. The desired value is the solar absorption coefficient. The algorithm is applied to solve the problem of calculating the thermal insulation of a flare pit for a gas well cluster. The influence of solar radiation is estimated for the solution of the problem of frozen soil being heated by a working gas burner.