Abstract In this paper, the authors carried out forward modeling on dispersion curves and vertical displacements of Rayleigh waves by means of the transfer matrix method in multilayered media. Their dispersion characteristics were thus detected and could be used in future practice. First, some groups of the fourlayered or fivelayered media were defined, and then their dispersion curves, their vertical displacements at free surface and the incorporative dispersion curve were calculated. In the end, the dispersion characteristics of different models, i.e., the models that contain an absolute/relative lowvelocity layer and the normal models, could be detected. According to the analytical results, the incorporative dispersion curve usually has the zigzag phenomenon for models that contain an absolute or relative lowvelocity layer. Nevertheless, their displacement characteristics are different. When a model contains an absolute lowvelocity layer, its maximal displacement curve consists of different modes. However, the maximal displacement curve of a model containing a relative lowvelocity layer is composed mainly of the first mode. For the normal model, its maximal displacement curve resembles the relative lowvelocity model, but its incorporative dispersion curve sometimes has the zigzag phenomenon, which is related to the parameters of models.
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