Porosity in high explosives increases the sensitivity against shock initiation and fast heating. An idealized energetic material is studied 3-dimensionally assuming that some mechanism like adiabatic heating of the pores by compression waves or the percolation of hot gases propagate in one direction like a plane wave with a constant or varying velocity. It induces successively hot spots distributed randomly or in regular structures. A conversion mechanism is included by an exothermal zero order reaction of Arrhenius type. The spreading of the heat input and the subsequent reactions depend on the energy input to the hot spots, the distance of the hot spots and the propagation velocity.
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Langer et al. (1999) studied this question.
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