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The propagation of acoustic waves in a porous medium partially filled with a gas hydrate was investigated with regard for the viscoelastic properties of the skeleton of this medium on the assumption that the gas hydrate is distributed homogeneously in the thin layer at the inner surface of pores of the medium. A system of equations defining the propagation of acoustic waves in a porous medium containing a gas hydrate is proposed. A dispersion relation has been derived for investigating the influence of different parameters of a porous medium on the propagation of acoustic waves in it.

The process of reflection of acoustic waves through a porous medium in the case of their oblique incidence have been considered. It has been shown that as the angle of incidence increases, there is a decrease in the transmission coefficient.

The effect of gas–skeleton heat‐transfer processes on propagation of fast and slow waves in a porous medium is examined. Frequency intervals are identified, in which attenuation of waves in a gas‐saturated porous medium is mainly controlled by the heat‐transfer processes.

Consideration has been given to the process of decomposition of a gas hydrate saturating a porous volume under the action of the energy of radiation through its boundary. It has been adopted that the zone lying in the vicinity of the boundary and saturated with the products of decomposition of the gas hydrate is transparent to radiation; the far zone saturated with gas hydrate and gas, conversely, is completely opaque; therefore, the radiation energy is totally absorbed at the boundary of phase transitions between the zones mentioned. The self‐similar solutions of plane one‐dimensional and radial‐symmetric problems have been constructed. The influence of the radiation intensity and of the parameters of the porous medium–solid gas hydrate–gas system in the initial state on the maximum pressures produced in the zone of decomposition of the gas hydrate has been analyzed based on the analytical solutions obtained.