Currently, when drilling is widely used drilling Control Units, which allows using the measured parameters and simulators (mat process models) operatively to determine the parameters and mode of operations, are associated with the optimization and drilling safety. Proposed the creation of a library of simulators based on the numerical solution of complex mathematical models (as usually a system of differential Equations) using the on-board computer. It will allow preventing blowouts and well explosions, which usually cause human losses, damage to environment and are hard and expensive to suppress. We created and developed the Library of simulators very high precision much better then now usually using, allow to significantly be decreasing possibility of accidents while drilling and to accelerate borehole building and significantly increase efficiency and safety of drilling.