Abstract: The fluid field is supposed as irrotational incompressible ideal fluid in the phase of bubble pulsation due to underwater explosion and potential flow theory is adopted to educe the control equation of bubble boundary movement. Based on the bubble dynamic model，the distortion and location of the bubble boundary are obtained by using the boundary integral method. Nonspherical rebound of the bubble is simulated using an annular numerical model after the bubble collapse and the corresponding program is exploited and its calculated results present satisfactory precision with the exact solution. The motion of the annular bubble in free field and after-flow velocity as well as pressure variation along with time are calculated using the program exploited in this paper and the influence of water depth and charge variation on jet velocity induced by underwater explosion bubble collapse and the pulsating period are also discussed, obtaining abundant generalizing curves to present some references to relative research on dynamic behavior of the bubble induced by underwater explosion.