Based on the assumption of potential flow, the coupled numerical model of the bubble and the wall is created and it is calculated with boundary integral method and a three-dimensional computing program is developed. The calculated result agrees with the experimental result well. Starting with the basic phenomenon of the interaction between the bubble and the wall, the dynamics of the bubble near a rigid wall is studied systematically with the program developed in this paper, including both cases of the parallel wall and the oblique wall. The relation between Bjerknes effect of the wall and the characteristic parameters is studied and the calculated results of various cases are compared and discussed with the Blake criterion based on the Kelvin-impulse theory. The analysis shows that the jet direction and the pressure on the rigid wall have close relationship with the bubble's characteristic parameters. Besides, the application range of Blake criterion is given. This paper aims to provide reference for the relevant researches on the dynamics of bubble near the wall.