计算瑞利波频散曲线的快速矢量传递算法

Fast Vector-transfer Algorithm for Computation of Rayleigh Wave Dispersion Curves

基于轴对称柱面瑞利面波 ,得到了一种计算层状介质中瑞利面波频散曲线的快速矢量传递算法 ,频散方程类似 Menke方法的 E矢量上传形式 ,上传矩阵 F为 3个五阶矩阵的乘积形式 ,提高了计算速度 ,而且各矩阵的元素均为无量纲量且为实数值 ,避免了以往方法中同一矩阵中各元素的数量级相差较大、出现复数运算的缺陷 ,提高了计算的精度及稳定性 .此算法方法也避免了高频数值精度丢失问题和高频数值溢出问题 .

A fast vector transfer algorithm for the computation of Rayleigh wave dispersion curves in multilayered media was presened based on axisymmetric cylindrical Rayleigh waves.The dispersion equation is similar to Menke's E vector up transfer form.The up transfer matrix F is the product of three five order matrices.It increases the computation speed.All the elements of the matrices are real and dimensionless.It avoids the disadvantages of large difference of the element quantities level in the same matrix and plural computation in the conventional methods,and improves the precision and stability in the computation.The algorithm also avoids the problems of numerical precision loss and numerical overflow in high frequencies.