The development of the natural resources of the North and territories with permafrost is an urgent task for countries located in the northern regions, the solution of which is complicated by extreme climatic conditions. Competent arrangement of the base under any structure is an extremely important task, which is solved only by experienced and qualified specialists. This article describes models with the presented optimal methods and technologies for strengthening and strengthening soils and foundations during the construction and reconstruction of construction projects in the Far North using modern material - cryogel.