## 1 Introduction  
Mining works currently use emulsion explosives, which are safe to manufacture, transport, store and employ for borehole charging [1, 2, 3, 4, 5], because they are devoid of explosive initiators such as trotyl, hexogen and other high-brissance explosives. The basic composition of emulsion explosives is comparable to that of cheap granular explosives (igdaniites and granulites) [6], but emulsion explosives are multi-component fluids. The size of the particles of an emulsion explosive and their distribution in the dispersed medium are the main criteria for assessing the quality of the explosive preparation. Emulsion explosives are generally classified into two types: oil-in-water and water-in-oil. The emulsion composition of the oil-in-water type, according to its physical properties and chemical composition, is characteristic of slurry explosives, since they contain a structuring agent and thickener, and the combustible component of the emulsion matrix is fuel in a solution of water and an oxidizer. The stability of the properties of such an emulsion is based on the selection of the required emulsifier. Another component of the water-in-oil type is called emulate, which is an emulsion of a highly concentrated water solution of oxidizer salts (up to 80 percent of dissolved ammonium nitrate salts) in the fuel phase. Thus, water-in-oil emulsions have a higher resistance to water, as the smallest droplets of the oxidizing solution are inside a thin waterproof film of the fuel phase. Two theories are used to describe detonating explosives: (1) The hydrodynamic theory of [PERSON] [7, 8] and (2) the \"hot spot\" theory [9, 10, 11, 12, 13]. The hydrodynamic theory of Zeldovich-von [PERSON] describes the detonation of explosives initiated by shock waves. The chemical decomposition of emulsion explosives by detonation is dependent on the presence of spherical particles, which can be obtained through the use of plastic microspheres or gas-generating agents. A deficiency of spherical particles makes it impossible to initiate an emulsion explosive through the use of a booster explosive charge (use of a shock wave). Therefore, a number of researchers applied the \"hot spot\" theory as an alternative to describe the detonation of emulsion explosives. The \"hot spot\" theory, originally developed to describe the initiation of an explosion by impact or friction, is based on concepts involving the structure of matter, which varies from a continuous medium to a molecular structure. According to the theory of \"hot spots\", combustion mechanisms can be divided into the following: ignition on glide surfaces, ignition in the vicinity of collapsing spherical particles, ignition in the zones of adiabatic shear in crystal, ignition on the edge of spreading cracks and combustion of explosive particles penetrating the gas bubble [10; 14]. All of these mechanisms are based on a thermal explosion, which occurs if the rate of heat generation by the chemical reaction exceeds the rate of heat rejection to the external environment. The self-heating of the emulsion occurs in accordance with the Arrhenius equation without branched chains in the chemical reaction. The duration and amplitude of the action differ between shock wave initiation and impact initiation, and there is an absence of heat for shock wave initiation since it does not exchange heat with the environment. Therefore, the hydrodynamic theory is appropriate for describing the detonation of an emulsion explosive.