The acoustic theory of the interaction of a shock wave, having an exponential relaxation zone, with a porous medium

An analytic solution of the problem of the reflection of a modulated pressure pulse in the form of an “instantaneous jump and exponential relaxation” in a liquid from a plane boundary of a porous medium of infinite extent, saturated with the same liquid, is constructed. Using the analytic solutions obtained, a numerical analysis is given of the development of distinctive features of the reflected and transmitted waves depending on the porosity and permeability of the porous medium, and also the length of the pulse signal.