两种计算瑞利波理论频散曲线的传递法模拟对比

对目前计算层状介质中瑞利导波理论频散曲线的2类传递矩阵方法进行总结,分别利用2类传递矩阵方法对假定的层状介质模型进行模拟计算,比较了2类方法的特点。通过模拟计算结果可知,2类传递矩阵算法是一致的,但快速标量传递算法的计算速度比Abo-zena,Menke和Bixing Zhang等推导的传递矩阵算法快1倍多,并且其计算的稳定性和计算精度要优于后者,但在避免高频数值溢出方面,Bixing Zhang等推导的传递矩阵算法比快速标量传递算法要好。

A SIMULATIVE COMPARISON OF TWO KINDS OF TRANSFER MATRIX METHODS FOR CALCULATING RAYLEIGH WAVE CURVES

This paper summarized two kinds of transfer matrix methods for calculating dispersion curves of Rayleigh waves. Some dispersion curves of layered models were calculated by the two methods so as to find characteristics of these methods. Calculation shows that the two kinds of results are in accordance with each other. However, the fast scalar transfer matrix method is faster than the transfer matrix methods deduced from Abo-zena, Menke, Bixing Zhang etc., and its stability and precision are better than the deduced methods. Nevertheless, in the aspect of avoiding numerical overflow in high frequencies, the transfer matrix algorithm is better than the fast scalar transfer matrix method.