On the relationship between the non-reacted and detonation products equations of state for a reacting explosive

In many reactive flow models for explosives, the non-reacted (NR) and detonation products (DP) equations of state (EOS) are treated independently, each just matching some appropriate experimental data. As a result, the NR and DP EOS usually conflict in some parts of the pressure-volume-internal energy space. This presentation suggests a general criterion for the relationship between the two EOS and develops the criterion for the often used Mie-Gruneisen type of equations of state.