基于谱元法考虑层间接触状态的Rayleigh波频散特征正演计算

为了提升Rayleigh波应用于成层土基勘探的精细化水平，本文基于谱元法原理，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和敏感性分析，揭示了层间接触状态对Rayleigh波基阶频散特征的影响。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。

Forward calculation of Rayleigh waves dispersion characteristics considering interlayer contact state based on spectral element method

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 theoretical dispersion equation for Rayleigh waves considering different interlayer contact states through Goodman model and Matsui interlayer slip for Rayleigh waves coefficient.For the typical layered subgrade structures,comparing calculations of 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 indicates 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.Finally,the reliability of the SEM for calculating the dispersion characteristics of Rayleigh waves under different contact states between layers was verified by comparing with the numerical simulation of velocity-stress finite difference.