Forchheimer terms are developed for the macroscopic momentum and energy balance equations considering saturated thermoelastic porous media, and for tl the macroscopic momentum balance equations in the case of multiphase porous media. It is shown that these terms represent the exchange between the interacting phases at their common interface. Using these Forchheimer terms, a very good agreement was evident when the 1-D numerical simulation of the propagation of compaction waves in a saturated thermoelastic porous medium was compared with shock tube experiments.