地下掩埋物弹性波散射的间断有限元建模

Runge-Kutta Discontinuous Galerkin Method for Elastic Wave Scattering from Buried Objects

针对现有大型弹性波模型数值模拟内存占用高,高阶计算精度不足等问题,基于COMSOL弹性波时域显式接口提出弹性波模型的间断有限元建模方法,推导了间断伽辽金有限元算法(DG-FEM)的空间及时间离散框架。通过模拟兰姆问题,对比解析解验证了该方法在模拟弹性波传播问题的准确性和高效性。对掩埋物的弹性波散射进行了模拟仿真,分析散射波场特征,探讨了掩埋物识别定位的机制,为掩埋物识别与探测等相关研究提供了有效借鉴。

To address the issues of high memory consumption and insufficient computational accuracy for existing large-scale elastic wave models in numerical simulations,a discontinuous Galerkin finite element method(DG-FEM)is proposed based on the explicit interface of the COMSOL elastic wave time-domain solver.The spatial and temporal discretization frameworks of the DG-FEM are derived.Combining with the Lamb wave modeling analysis,the accuracy and efficiency of this method in simulating elastic wave propagation problems are verified by comparing with the analytical solutions.Simulations of elastic wave scattering from buried objects are also conducted to analyze the scattering wave field characteristics and explore the mechanism of buried object identification and location,thus providing an effective reference for related research on buried object identification and detection.