道路结构瑞利波频散曲线的快速求解研究

Study of Rayleigh Dispersion Curves Calculation for Pavement Systems

对于道路结构的剪切波速随深度减小的层状地层 ,过去一般是采用刚度矩阵法、有限单元法等方法在复数域求取其瑞利波频散曲线。在吸取前人某些研究思路的基础上 ,提出了添加附加层的方法 ,使原复数域的求解问题转化到实数域求解 ,提高了正演计算的速度。根据模拟结果与复数域计算结果的对比来看 。

The shear wave velocities of pavement systems decrease with depth, and their dispersion curves can be obtained by the stiffness matrix approach or the finite element method, etc. For pavement systems, searching for the roots of the frequency equation is beset with difficulties. The roots are mostly complex numbers and numerical overflow problems occur frequently. Through adding a high velocity layer under the sub-grade, then, the roots become real numbers. The influence is more and more weak with the thickness of sub-grade increasing. The new method is feasible from simulated results.