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通过对瑞利波频散曲线的研究可以了解瑞利波在分层介质中的传播规律,指导并判断现场瑞利波频散曲线的测取,以及为反演瑞利波剪切波速曲线提供充足的资料。不同场地条件的瑞利波频散曲线会有很大的区别,本文基于传递矩阵理论的Knopoff快速算法,编制了求取分层介质瑞利波频散曲线的计算程序,分别模拟研究了压缩波、剪切波、泊松比和密度对频散曲线的影响。结果表明:当泊松比恒定时,压缩波速与剪切波速的比值影响着频散曲线,其实质是剪切波速的影响很大,而压缩波速的影响相当小;泊松比和密度对频散曲线的影响比较小,但有些情况下并不能忽视泊松比的影响。
The Rayleigh wave dispersion curve can be used to understand the Rayleigh wave propagation in layered media, to guide and determine the Rayleigh wave dispersion curve on-site and to provide the inverse Rayleigh wave shear velocity curve Sufficient information. The Rayleigh wave dispersion curves of different site conditions will be greatly different. Based on the Knopoff fast algorithm of transfer matrix theory, a calculation program for calculating the dispersion curve of Rayleigh waves in layered media is developed. Compression wave , Shear wave, Poisson’s ratio and density on the dispersion curve. The results show that when the Poisson’s ratio is constant, the ratio of compressional wave velocity to shear wave velocity affects the dispersion curve. The essence is the effect of shear wave velocity, but the influence of compressional wave velocity is quite small. The Poisson’s ratio and density versus frequency The effects of scattered curves are small, but in some cases the effect of Poisson’s ratio can not be ignored.