The efficiency of the hydrocarbon deposits development is determined by recovery factor of oil or gas and the amount of material costs for the development of mineral resources and their exploitation - profitability of the project. Today, science and technology allows to develop economically feasible deposits with hard to recover reserves by applying methods of stimulation to the well, one of the most popular is the construction of wells with horizontal profiles. Drilling of directional and horizontal wells require the use of special drilling equipment - rotary-steerable systems (RSS) to control the trajectory of the wellbore in real time. Today the market offers a large number of equipment for directional drilling the main is a foreign proceeding. Work with such systems need to attract highly qualified personnel, and often foreign experts. In this regard, the development of a remote monitoring and control system of the trajectory of the wellbore hardware and software while drilling wells using RSS is an actual scientific and practical task.
 The paper presents the set-theoretic model of the synthesis of the structure of remote monitoring and control system of the trajectory of the wellbore hardware and software while drilling wells using the rotary steerable systems. Approach to systematize the creation of software and hardware systems structure for monitoring and control provides qualitative information and algorithmic environment that meets all the requirements of modern standards. On the basis of the proposed model the structure of the complex is designed, which includes a set of submersible units, executive and implementing measurement and control system, communication system, scheduling system. The structure of hardware and software has a modular principle of organization, it involves building up features, including the introduction of additional telemetry parameters, has the mainstream and alternative information channels, advanced power system components, including redundant power supplies.
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