In this study, numerical simulation methods are used for investigating the processes of propagation in a conical cavity (conical target) of weak shock waves caused by the blast of a microcharge in combustible mixture outside of the cone volume. A more general question is considered: how do the parameters of the medium at the cone vertex depend on whether it was a neutral gas (air) or combustible mixture (hydrogen-air) that filled the cone initially? Comparison is made of the maximal attainable pressures in the cases where the cone is filled with a combustible mixture and in the cases where the cone contains a neutral gas (air). The leading physical factors are identified and substantiated, which provide for attaining extremely high pressures in narrowing volumes. The problem under consideration is of applied importance from the standpoint of predicting the development of emergencies caused by the propagation of explosion waves in volumes filled with combustible gas.
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