The conditions of suppression of a combustion wave propagating along a homogeneous porous layer of organic combustible materials are investigated basing upon a physico-mathematical model. The dependence of free water effervescence intensity on the water volume fraction and the medium temperature is presented. A water supply source in motion is employed to suppress the combustion wave. It is shown that an increase in the mass water flow rate results in a considerable increase in the maximum velocity of the source motion, at which the combustion wave can be suppressed. This is due to a reduction in the loss of the water evaporating above the burning zone. The effect of the water supply point displacement on the efficiency of combustion wave suppression is analyzed.