Abstract
The paper presents a detailed study of the propagation of oscillations in an infinite absorbing medium in order to discuss the behavior of a material under various conditions during pulsed injection of fluids into an injection well. The dependence of deformation and stress was solved mathematically on the basis of the modified Hooke’s law, which includes the rate of change in deformation. As a result, graphical dependences of the phase velocity of propagation of oscillations and the absorption coefficient on the oscillation frequency were obtained for the most common types of rocks. Analysis of the obtained results showed that the absorption coefficient attains its maximum values in the region of resonance frequencies, and further increase in the oscillation frequency leads to a slight decrease in the absorption coefficient. In our opinion, the most optimal frequency range for the propagation of oscillations in the rock structure varies from 100 to 800 Hz with regard to the natural frequencies of the rocks studied.
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