Surfacewave theory was firstly proposed by Rayleigh which can be used in even medium; many other learners developed Rayleigh’s theory and proposed another theory which can be used in layered medium. But all of the methods are based on semi-infinite elastic space; there is a little research in the medium which has the limited dimension in horizontal direction

such as the deep-mixing wall. According to the boundary condition

the deep-mixing wall can be simplified as plane-stress

plane-strain and elastic restriction. Author finds that the Rayleigh wave’s velocities are almost the same in the three conditions as in the semi-infinite elastic space and check out the result by the model-test in laboratory so as to provide the scientific testimony for the Rayleigh wave’s application to limited dimension medium.