The unsteady filtration theory to analise the experimental study of porous gassaturated material fragmentation

Abstract

Solution of the linearized equation for unsteady gas filtration is used to interpret experimental results in porous gassaturated material destruction under rapid decompression. This simplified solution is established to be enough good to describe qualitatively main experimentally deduced regularities: along the sample the rarefaction wave's velocity decreases while the fragments' size enlarges; surface pressure drop rate increasing provide fragments' number growth and their mean size diminution. Moreover, close correspondence is shown for calculated and measured values such as first fragment's dimension, ruptured area propagation velocity.
At the same time, several calculated values are not conform to experiment. Model is complied with infinite rarefaction wave velocity; computed dimensions of the second and following fragments, their tearing times sufficiently differ from observed values. This is in case of two reasons: 
1) linear filtration Darsy' law is used in a model; 
2) linearization of unsteady filtration equation. Proper allowance will be made for this factors in forthcoming investigation.