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The monograph deals with the development of a methodology for solving the problem of diffraction and dispersion of linear seismic waves, as well as an algorithm. The results obtained in the monograph have theoretical and applied significance. The developed technique is of a universal nature; it is valid for any rheological properties of the deformed one. For engineering and technical workers involved in the design, construction and operation of pipelines, as well as graduate students and university students studying in the specialties of applied mathematics and mechanics.