The ore-drawing theory based on kinematic model was introduced and the derivation of the kinematic model equation was reviewed. And reasons for the theoretical drawbody shape mismatching with the actual were discussed. Moreover, the application scope of the ore-drawing theory based on kinematic model was pointed out. The determining method of bulk vacancy diffusion coefficient was improved. Then a revised version of the kinematic model was developed and equations for the velocity field, granular flow streamlines, and drawbody were derived for both two-dimensional and three-dimensional problems...