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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MDPI AG
2022-12-01
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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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issn | 2076-3417 |
language | English |
last_indexed | 2024-03-11T10:07:35Z |
publishDate | 2022-12-01 |
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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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