{"title":"Scattering of plane SH waves by a concentric semi-cylindrical discontinuity and canyon","authors":"Zhiwen Li","doi":"10.1007/s10665-024-10334-6","DOIUrl":null,"url":null,"abstract":"<p>The discontinuity of the medium and the irregularity of the ground significantly affect the propagation of seismic waves. However, the comprehensive effects of these two factors on seismic motion have not yet been fully investigated. To reveal the mechanism of dynamic interaction between the discontinuity and the irregular topography, this study provides a series of solution for the scattering of plane SH waves caused by a concentric semi-cylindrical discontinuity and canyon in an elastic half-space, using the displacement discontinuity model and the wave function expansion method. Based on the proposed series solution, a systematic analysis is conducted to investigate the influences of the stiffness of the discontinuity, the radius ratio between the discontinuity and the canyon, and the properties (e.g., frequency and angle) of the incident wave on the ground motion and underground motion. The results indicate that the stiffness of the discontinuity is a key factor determining the distribution of seismic motion. A high stiffness leads to a distribution similar to that of the canyon alone, while a low stiffness results in a much more complex distribution.</p>","PeriodicalId":50204,"journal":{"name":"Journal of Engineering Mathematics","volume":"135 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Engineering Mathematics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s10665-024-10334-6","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The discontinuity of the medium and the irregularity of the ground significantly affect the propagation of seismic waves. However, the comprehensive effects of these two factors on seismic motion have not yet been fully investigated. To reveal the mechanism of dynamic interaction between the discontinuity and the irregular topography, this study provides a series of solution for the scattering of plane SH waves caused by a concentric semi-cylindrical discontinuity and canyon in an elastic half-space, using the displacement discontinuity model and the wave function expansion method. Based on the proposed series solution, a systematic analysis is conducted to investigate the influences of the stiffness of the discontinuity, the radius ratio between the discontinuity and the canyon, and the properties (e.g., frequency and angle) of the incident wave on the ground motion and underground motion. The results indicate that the stiffness of the discontinuity is a key factor determining the distribution of seismic motion. A high stiffness leads to a distribution similar to that of the canyon alone, while a low stiffness results in a much more complex distribution.
介质的不连续性和地面的不规则性对地震波的传播有很大影响。然而，这两个因素对地震运动的综合影响尚未得到充分研究。为揭示不连续面与不规则地形之间的动力相互作用机理，本研究利用位移不连续面模型和波函数展开方法，给出了弹性半空间中同心半圆柱不连续面和峡谷引起的平面 SH 波散射的系列解。根据所提出的序列解，对不连续面的刚度、不连续面与峡谷的半径比以及入射波的特性（如频率和角度）对地面运动和地下运动的影响进行了系统分析。结果表明，不连续面的刚度是决定地震运动分布的关键因素。高刚度导致的分布与峡谷本身的分布相似，而低刚度则导致更为复杂的分布。
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