Scattering of Plane Waves by Cylindrical Cavity in Unsaturated Poroelastic Medium

The scattering of elastic waves by underground cavities is an active research topic for its broad applications in various fields, such as earthquake engineering, the blast resistance of underground structures, geophysical exploration, etc. In most previous studies, the sounding medium was treated as...

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Main Authors: Weihua Li, Zhe Yang, Aichen Zhang, Fengcui Feng
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/1/494
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author Weihua Li
Zhe Yang
Aichen Zhang
Fengcui Feng
author_facet Weihua Li
Zhe Yang
Aichen Zhang
Fengcui Feng
author_sort Weihua Li
collection DOAJ
description The scattering of elastic waves by underground cavities is an active research topic for its broad applications in various fields, such as earthquake engineering, the blast resistance of underground structures, geophysical exploration, etc. In most previous studies, the sounding medium was treated as an ideal elastic medium or a saturated poroelastic medium. The understanding of the scattering of elastic waves by cavities in unsaturated porous media is limited. In this study, the scattering of plane P<sub>1</sub> waves and SV waves by a cavity with a permeable surface in an infinite unsaturated porous medium is solved by the wave function expansion method. The dynamic stress concentration at the cavity surface is investigated by taking P<sub>1</sub> wave incidence, for example. Numerical results illustrate that the scattering of plane waves around the cavity strongly depends on the frequency of the incident waves, and the saturation, Poisson’s ratio, and porosity of the surrounding medium.
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spelling doaj.art-23754b31aac14754b5c7f64beafbea502023-11-16T14:57:46ZengMDPI AGApplied Sciences2076-34172022-12-0113149410.3390/app13010494Scattering of Plane Waves by Cylindrical Cavity in Unsaturated Poroelastic MediumWeihua Li0Zhe Yang1Aichen Zhang2Fengcui Feng3Key Laboratory of Urban Underground Engineering of Ministry of Education, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaThe scattering of elastic waves by underground cavities is an active research topic for its broad applications in various fields, such as earthquake engineering, the blast resistance of underground structures, geophysical exploration, etc. In most previous studies, the sounding medium was treated as an ideal elastic medium or a saturated poroelastic medium. The understanding of the scattering of elastic waves by cavities in unsaturated porous media is limited. In this study, the scattering of plane P<sub>1</sub> waves and SV waves by a cavity with a permeable surface in an infinite unsaturated porous medium is solved by the wave function expansion method. The dynamic stress concentration at the cavity surface is investigated by taking P<sub>1</sub> wave incidence, for example. Numerical results illustrate that the scattering of plane waves around the cavity strongly depends on the frequency of the incident waves, and the saturation, Poisson’s ratio, and porosity of the surrounding medium.https://www.mdpi.com/2076-3417/13/1/494unsaturated porous mediacylindrical cavityplane wavesscattering and diffractionanalytic solutions
spellingShingle Weihua Li
Zhe Yang
Aichen Zhang
Fengcui Feng
Scattering of Plane Waves by Cylindrical Cavity in Unsaturated Poroelastic Medium
Applied Sciences
unsaturated porous media
cylindrical cavity
plane waves
scattering and diffraction
analytic solutions
title Scattering of Plane Waves by Cylindrical Cavity in Unsaturated Poroelastic Medium
title_full Scattering of Plane Waves by Cylindrical Cavity in Unsaturated Poroelastic Medium
title_fullStr Scattering of Plane Waves by Cylindrical Cavity in Unsaturated Poroelastic Medium
title_full_unstemmed Scattering of Plane Waves by Cylindrical Cavity in Unsaturated Poroelastic Medium
title_short Scattering of Plane Waves by Cylindrical Cavity in Unsaturated Poroelastic Medium
title_sort scattering of plane waves by cylindrical cavity in unsaturated poroelastic medium
topic unsaturated porous media
cylindrical cavity
plane waves
scattering and diffraction
analytic solutions
url https://www.mdpi.com/2076-3417/13/1/494
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AT zheyang scatteringofplanewavesbycylindricalcavityinunsaturatedporoelasticmedium
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AT fengcuifeng scatteringofplanewavesbycylindricalcavityinunsaturatedporoelasticmedium