Would That Low-density Explosive Work For This Rock?

The thermodynamics work-principle was used to develop the rupture-fracture-throw (RFT) model for ranking the performance of reduced-density explosives when shot in rock or other stratum. The RFT model revises techniques used for the rock-water-jelly (RWJ) model, where the reaction-zone remains trapped within the rock/stratum. Therein, ranking of performance refers to trends for the two resolved components of the total expansion work: the reversible mechanical work taken as the heave and the residual irreversible portion, taken as the undissipated shock. For numeric tractability, the RFT and RWJ thermodynamic efficiency were taken equal, while the RWJ late-stage confinement was replaced with restrained venting through the rock, to render the RFT inefficient heave. The transfer of heat from the reaction-zone was neglected and the root-power formula was used to render the gas-covolume. Ranking trends were found for a generic charge formulation over a wide ranging density, with underwater results noted for comparison. Realistic compositions, some with natural resource materials, were treated for just typical and reduced density. Rock characteristics, ranging from hard rock to weak stratum, were represented by their density and rupture compression strength. Quantitative test results for shock or heave in rock remain difficult, so qualitative guidelines remain helpful when reviewing the graphic trends. Theoretical refinements for rock fragment size-distribution remain under development, though some relationships are touched upon to gain insight.