The proposed article provides a generalized model of the hydraulic system of a drilling rig during the beginning of the introduction of the drilling tool into the ground. The oscillograms of the parameters of the motor in time are shown, obtained using a computational experiment in the Matlab program. Using this model, it is possible to estimate the transient processes of the hydraulic drive at the system design stage. The above formulas describe the parameters of the hydraulic system, determine the pressure at the pump outlet, the inlet to the throttled resistance and the input channel of the motor. Changing the input characteristics of the system allows you to monitor the behavior of the system in different situations and under different loads.

Keywords: mathematical model, hydraulic system of a drilling rig, work dynamics, transients