Development of the mathematical models of the integral drilling indices based on the dimensional analysis.
Vasil' Mojsišin, Bogdan Borisevič, Oleg Vitâz', Ûrìj Gavrilìv
Vol. 31, no. 3 (2014), s. 431-439, 
The dimensional analysis method was used to estimate the influence of the axial static load on the bottom-hole, angular speed of the drill bit rotation, stiffness, and damping of the drilling tools on the integral indices of well drilling. The mathematical models of the mechanical drilling speed, average values of torque on the bit, and energy consumption for the rock destruction process on the well bottom-hole were developed for two interlayers of the Vorotyshchenska formation with the hardness of 1440 and 2050 MPa.