The article deals with the study of the propagation of acoustic waves in a porous medium, in the pores of which a gas hydrate was formed. The behavior of a porous medium is described using the Maxwell model. A system of equations is written that describes the propagation of acoustic waves in a porous medium. The dispersion relation was obtained. Comparison of the propagation velocity and attenuation coefficient of "fast" and "slow" waves for the cases when the formation of gas hydrate has occurred in the pores of the porous medium and there is a mixture of water with methane in the pores.

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