A description is presented that accounts for the medium heterogeneity and lack of statistical information about the medium parameters in the framework of a single approach. The approach is based upon the idea of propagation of stochastic waves in media with random mechanical parameters. For theoretical modeling of propagation of 1D waves we utilizes the method of spectral decomposition in terms of the wave numbers and the theory of continuous Markov chains in the form of the Fokker? Planck?Kolmogorov equation. A series of boundary-value problems are solved and simulation is carried out. The simulation results confirm the theoretical analysis; in particular, they confirm the exponential decay of the authentic information on the amplitude of the propagating wave despite the absence of the energy absorption in the medium.
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