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The paper investigates the application of mathematical Radon transformations to describe the propagation of acoustic waves in continuum environments. It is shown that these transformations make it possible to analytically take into account many factors that affect the propagation of acoustic waves. It also takes into account the properties of objects that reflect it. This version of the description can be used as a generalized mathematical model, which is considered as a spherically symmetric function from the distance to the source of coherent waves, described by the Radon transform.