The methods of factorial experiment and regression analysis have been applied ad hoc to search the optimum combinations of technological parameters for the salvage operation with the help of a drilling jar. The factors chosen are the percussive mechanism striker travel, the length of drill collars in the drill assembly and the discharge force. The response functions on the matrix of the central rotatable composite design for three main factors have been obtained. The functions are the relationships between the maximum and minimum internal forces at the upper boundary of the grip and the factors. Based on the dependencies, the response surface of the parameter values has been obtained. The influence of each factor on the corresponding parameters of the salvage operation has been graphically analyzed. It has been noted that the change in the discharge force has a weakly nonlinear effect on the impact parameters, and the influence of the other two factors has a pronounced extremum. The conditions which lead to the salvage operation shock mode traversing to pulse-wave one have been formulated. Recommendations on a choice of the salvage operation technological parameters for Naftogaz of Ukraine subsidiaries depending on various categories and types of the sticking have been formulated. Cases of the effective use of a drilling jar have been reported. Requirements for the drilling jar design have been formulated. It is proposed to replace the imported Hydra-jar with the construction in the form of two separate structures with mechanical locking pairs to create selective "up-down" strikes. The BHA design with two drill jars to realize the effect of shock wave acceleration has been proposed