Sergo Ordzhonikidze Russian State Geological Prospecting Institute, Moscow, Russia
V. V. Kulikov, Pro-Rector for Teaching, Professor, Doctor of Engineering Sciences, kulikovvv@mgri.ru
V. A. Kosyanov, Rector, Professor, Doctor of Engineering Sciences
Z. M. Nazarova, Head of Chair, Professor, Doctor of Economic Sciences
S. M. Popov, Head of Chair, Professor, Doctor of Economic Sciences

The problems of mathematical modeling of power transmission from drilling unit to bottomhole (exploration, processing) are discussed. These problems consist in the sound selection of a model capable of the most accurate imaging of the power transmission process (by the value of measured energy inputs). The basic mathematical models of power transmission are justified and offered, including additive model featuring the absence of inter-effect of the energy transmission sections; proportional model with invariable values of efficiency in all sections; generalized model with special cases represented by the first two models. It is shown that one of the critical problems in the efficiency assessment of power transmission from the drilling unit, via the drilling string to the rock-breaking tool and, then, to the bottomhole is the choice of a correct, authentic and reliable method of the assessment. It is proved that the correct comparative assessment of the process efficiency should be based on the simultaneous and independent consideration of the cost and time of the operation. It is justified that the efficiency assessment of power transition is required for the first turn, for the strategic improvement of the exploration and technological borehole drilling and for the selection of promising solutions on the related technologies and equipment. The generalized criterion is justified and proposed for the comparative assessment of the economic efficiency of power use within a selected drilling technology, considering simultaneously the cost and time inputs. Calculation with the proposed criterion for the economic efficiency of power transmission is exemplified.

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