Dispersion of Elastic Waves Propagating in a Fluid-Saturated Porous Medium with Cavities

The propagation of plane longitudinal waves in a fluid-saturated porous medium with cavities is considered in linear elastic approximation. It has been shown that as distinct from the classical porous medium (Biot’s medium) where two longitudinal dispersionless waves can propagate (a fast wave and a...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-06, Vol.1945 (1), p.12073
Main Authors: Erofeev, V I, Leonteva, A V
Format: Article
Language:English
Subjects:
Elastic waves
Frequency spectrum
Group velocity
Holes
Longitudinal waves
Phase velocity
Physics
Porous media
Wave propagation
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Summary:The propagation of plane longitudinal waves in a fluid-saturated porous medium with cavities is considered in linear elastic approximation. It has been shown that as distinct from the classical porous medium (Biot’s medium) where two longitudinal dispersionless waves can propagate (a fast wave and a slow wave), in the porous-cavity media three dispersive longitudinal waves propagate and one of them is solely induced due to cavities in the material. The study of waves is carried out by obtaining and analyzing the dispersion equation, phase velocity and group velocity. The frequency spectrum density is considered, which enables to identify the degree of dispersion expressiveness. At certain values of the system parameters some regions of strong and weak dispersion, regions of normal and anomalous dispersion have been identified.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1945/1/012073