An asymptotic analysis of the combustion of a gas moving in a semiinfinite
porous medium is performed for large values of the Zel'dovich parameter. Th
e case of a highly porous medium with high gas permeability is considered,
The basic terms of asymptotic expansions of the main parameters of the proc
ess for combustion and separation regimes are obtained by the method of joi
ned asymptotic expansions. The effect of the rate of motion of the gas and
heat transfer from the surface of the skeleton into the ambient medium on t
he combustion parameters is analyzed, The critical conditions of failure of
stationary combustion at the external surface of the layer and the conditi
ons of transition of the process to the separation and induction regimes ar
e determined.