Considering the fundamental solution of Gibson halfspace obtained by Thin-layer method as the Green function for BEM,some parameters in the design of 3-D Wave Impeding Block（WIB） isolation for the Gibson homogenous elastic halfspace and stratified foundation are studied in detail.The result indicates that relatively good isolation effect can be obtained by WIB in the Gibson foundation,while the WIB haves reasonable breadth and relatively small embedment depth.Increasing the thickness and modulus of WIB is most effective way to get a good effect of isolation.The Gibson ground＇s property has some influence on the effect of isolation also.The research in this paper will be helpful for the application of WIB in popular.