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| 基于谱元法考虑层间接触状态的Rayleigh波频散特征正演计算 |
| Forward calculation of Rayleigh waves dispersion characteristics considering interlayer contact state based on spectral element method |
| 投稿时间：2022-08-18 修订日期：2022-11-04 |
| DOI： |
| 中文关键词: Rayleigh波 频散曲线 谱元法 层间接触状态 速度-应力有限差分仿真 |
| 英文关键词:Rayleigh waves Dispersion curves Spectral-element method Interlayer contact state Numerical simulation of velocity-stress finite difference |
| 基金项目:国家自然科学(51708071)；国家重大科研仪器研制项目(51927814)；重庆市自然科学(cstc2018jcyjAX0640)；重庆市教育委员会科学技术研究项目(KJ1705133) |
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| 中文摘要: |
| 为了提升Rayleigh波应用于成层土基勘探的精细化水平，本研究基于谱元法原理，通过Goodman模型和Matsui层间滑移系数建立了可考虑层间不同接触状态的Rayleigh波理论频散方程。针对“上软下硬”、含“软夹层”、含“硬夹层”和“上硬下软”4种典型土基成层结构，运用谱元法和快速矢量传递解析法对比计算了层间完全连续状态下土基的Rayleigh波多阶模态频散曲线，结果显示谱元法计算结果与解析法相应结果之间的平均相对误差在0.3%以下，具有较高的计算精度。在此基础上，通过改变层间接触状态进行敏感性分析，运用谱元法揭示了层间接触状态对Rayleigh波基阶频散特征的影响，发现Rayleigh波在低频范围内的相速度受层间滑移系数影响较大，且随着层间滑移系数的增大减小。最后，结合速度-应力有限差分数值计算，验证了谱元法计算层间不同接触状态下R波频散特征的可靠性。 |
| 英文摘要: |
| In order to improve the refinement level of Rayleigh waves applied to layered soil-based exploration, based on spectral-element method (SEM), this study established the Rayleigh waves theoretical dispersion equation considering different interlayer contact states through Goodman model and Matsui interlayer slip coefficient. For the four typical layered subgrade structures of upper soft and lower hard, containing soft interlayer, containing hard interlayer and upper hard and lower soft, comparing calculation the dispersion curves of Rayleigh waves multi-order modes with SEM and fast vector transfer analytic method, the results show that the average relative error between the calculation results of SEM and the corresponding results of analytic method is under 0.3 %, which has high calculation accuracy. On this basis, the sensitivity analysis was carried out by changing the interlayer contact state, and the influence of interlayer contact state on the dispersion characteristics of Rayleigh waves was revealed by SEM. It was found that the phase velocity of the Rayleigh waves in the low frequency range is greatly affected by the interlayer slip coefficient, and decreases with the increase of the interlayer slip coefficient. Finally, the reliabilities of the SEM for calculating the dispersion characteristics of Rayleigh waves under different contact states between layers were verified by comparing with the numerical simulation of velocity-stress finite difference. |
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