Mathematical modeling of consolidation of subsidence loess soils of the north caucasus by deep explosions

Abstract

Relevance. Design and construction of buildings and structures on loess subsidence soils in the North Caucasus is a relevant problem of construction aimed at ensuring the strength and longterm operation of buildings and structures. The relevance of the problem is related to the fact that loess soils have large capacity (up to 50 m), are distributed almost everywhere (80-85 % of the area) and are the main type of soil bases in many cities of the region. As it is shown by the analysis of the literature on this topic, currently there is no strict mathematical description of this process. This work is devoted to mathematical modeling of compaction of subsidence loess soils of the North Caucasus by deep camouflage explosions. The aim of the research is to carry out a mathematical modeling of compaction of subsiding loess soils of the North Caucasus by deep explosions. Object: subsidence loess soils of the North Caucasus. Methods: correct use of results and methods of solid body physics, mathematics, differential equations, numerical methods, geology, mechanics of soil, etc. that promotes achievement of a goal. Results. The analysis of the main methods and techniques of compaction of loess subsiding soils of the North Caucasus showed that the deep explosions method is the most effective, instantaneous and cost-effective. A mathematical model for compaction of loess by deep explosions based on the semi-empirical diffusion equation was developed. It allows you to calculate the concentration and density of compacted soil as a result of explosion for a specified time at a given temperature. The dependences of the parameters of a deep explosion, which are of great practical importance, are obtained, since they allow designing camouflet explosions in loess subsided soils on the basis of laboratory tests of soils