Exploring Porosity Models for PBX 9501

High explosive's (HE) performance such as run-distance and time to detonation has observable differences when the porosity changes. Current efforts to model such discrepancies involve calibrating equation of state (EOS) parameters using an averaged density of all the HEs experimental data used for the calibration. One such idea to make a porosity aware model is to use a hybrid P-alpha and small-lambda model. This approach uses a porosity model known as P-alpha along with the Davis reactants EOS at nominal density along with a known initial porosity. A fully compacted EOS is constructed, then different initial densities are considered as equilibrium mixtures of the fully compacted reactants with varying small amounts of Davis products. This work involves investigating the combined effect of the Hugoniot of this mixture model, along with the effects of burn rate models to the material response of various impact particle speeds. Available gas-gun experimental data will be used to compare the material response metrics such as run-distance and time to detonation given by this hybrid model.