ORIGINAL RESEARCH article
Front. Phys.
Sec. Interdisciplinary Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1597946
This article is part of the Research TopicUnderstanding Geomaterial Instability: Physics and Mechanics of Landslides and Seismic EventsView all 15 articles
Reflection and transmission of P-wave incident obliquely at the interface between an elastic solid and a fluid-saturated porous medium: a comprehensive study via the model of soil mechanics
Provisionally accepted
- Hebei University of Architecture, Zhangjiakou, China
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A model of soil mechanics is used to study the problem of reflection and transmission of an obliquely incident plane P-wave on a discontinuous interface. Based on the propagation theory of elastic waves in an elastic solid and a fluid-saturated porous medium, the propagation analysis model of P-wave incident obliquely at the interface of such media is established. The theoretical formulas of reflection coefficients of P-and SV-waves and the transmission coefficients of P1-, P2-, and SV-waves are obtained in terms of the boundary conditions of the interface between an elastic solid and a saturated two-phase medium. Furthermore, the derived formulas in this paper are reduced to the reflection and transmission problems of P-wave incident on two different single-phase media to verify their correctness. Finally, numerical investigations are carried out on the variations of the reflection and transmission coefficients with the incident angle for various boundary conditions, wave frequency, and material characteristics (i.e., dynamic permeability coefficient, porosity, and Poisson's ratio). It is shown that the effects of incident angles, boundary conditions, wave frequency, and material characteristics on the reflection and transmission coefficients cannot be ignored. These conclusions are of guiding significance for theoretical research of soil dynamics and engineering seismic exploration.
Keywords: Saturated two-phase medium, Elastic solid, Model of soil mechanics, Dispersion equation, Boundary conditions, Reflection coefficients, Transmission Coefficients
Received: 22 Mar 2025; Accepted: 19 Jun 2025.
Copyright: © 2025 Qiu and Zhang. 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: BO Zhang, Hebei University of Architecture, Zhangjiakou, China
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