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ORIGINAL RESEARCH article
Front. Phys.
Sec. Interdisciplinary Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1540732
This article is part of the Research Topic Wave Propagation in Complex Environments, Volume II View all 11 articles
Reflection of P1-wave Incident Obliquely at the Free Surface of a Fluidsaturated Half-space: a Comprehensive Study via the Model of Soil Mechanics
Provisionally accepted- Hebei University of Architecture, Zhangjiakou, China
Based on the soil mechanics model of a two-phase medium, the reflection problem of an obliquely incident plane P1-wave at the free surface is deeply discussed. The dispersion characteristic equations of body waves are obtained by using the Helmholtz decomposition method. The theoretical formulas of reflection coefficients and surface displacements are derived and verified for correctness by simplifying. Finally, numerical investigations are carried out on the variations of the displacement reflection coefficients and surface displacements with the incident angle for different boundary conditions, wave frequencies, porosities, Poisson’s ratios, and modulus ratios. It is shown that the surface response of half-space is somewhat affected by the boundary conditions while little influenced by the wave frequency. It is also found that the effects of material properties on the surface response cannot be ignored. These conclusions are of guiding value for wave propagation in saturated semi-infinite space, wave survey technology of seismic engineering, and site seismic response analysis.
Keywords: Saturated two-phase medium, Model of soil mechanics, Dispersion equation, Boundary conditions, Reflection coefficients, surface displacement
Received: 06 Dec 2024; Accepted: 28 Feb 2025.
Copyright: © 2025 Zhang and Qiu. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence:
Lijun Qiu, Hebei University of Architecture, Zhangjiakou, China
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