According to the material compressed conditions and the hypothesis of detonation drive, and based on the conservation of mass and momentum, the motion differential equation of compressible powder was obtained. Combined with the planar Taylor wave and the equation of state of powder, the coupling relationship between the convergent flow filed and the shrinking of powders can be gained, and then the copper powder explosive consolidation was calculated. The results indicate that the velocity and average density history curves agree with the reported reference values. It was convincing that the displacement history curve is satisfied with physical fact because the displacement history curve is derived from the velocity. By comparison, it can be known that in double-tubes, the pressure is higher at the same ratio of explosive mass because the external tube is performed as shape charge, so the density is higher. Besides, the experiment results show that the equipment of double-tubes fits with central pole can avoid the Mach pores and enlarge the size of the sintered body. As a conclusion, the double-tubes design is better