https://doi.org/10.1140/epjp/s13360-025-06563-y
Regular Article
Mathematical modeling of Rayleigh wave at the corrugated boundary between sandy Earth crust and elastic half-space with void pores
Department of Mathematics and Computing, Indian Institute of Technology(Indian School of Mines), 826004, Dhanbad, Jharkhand, India
Received:
8
May
2025
Accepted:
17
June
2025
Published online:
1
July
2025
This study analyzes the propagation of Rayleigh waves traveling through the sandy crustal layer of the Earth, which rests on an elastic half-space containing void pores and features irregular boundary surfaces. The surface of the layer and the interface between the two media are considered to be corrugated. The dispersion relation is formulated as a determinant, defining the relationship between the Rayleigh wave velocity and the wavenumber. Several specific cases have been analyzed, demonstrating consistency with previously established findings. Numerical calculations are performed using MATHEMATICA software to deepen the investigation, with the results illustrated through graphical representations. A key outcome of this research is that structural corrugation has a substantial effect on the velocity of propagating waves. This effect has been visually represented through graphical illustrations. Graphical representations have been used to show how the height of the layer, the elastic constant, the density of the sandy medium material, and the phase velocity of Rayleigh waves are affected by the void parameter of the half-space.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
