A method and apparatus for mitigating blast compression waves is disclosed. The apparatus has a housing having an open end, and a piston slidably received in the open end of the housing in a substantially airtight engagement therewith. The piston and the housing define an interior wherein a compressible substance is confined. When a blast wave impacts the impact face of the piston and drives the piston toward the base of the housing, a shock wave is induced in the compressible substance. The shock wave is reflected by the base of the enclosure and the interior surface of the piston to mitigate the impact of the blast wave.