Integrated Safety Management of Russian Oil and Gas Enterprises Using the Complex Number Method

The use of the method of complex numbers for solving problems of managing the integrated safety system at the enterprises of the oil and gas complex of Russia is substantiated. A formalized description is presented related to the sequence of processing data taken from the statistics of accidents and fires at the enterprises under consideration. The mathematical apparatus of complex numbers was successfully used in various fields — for example, to determine the magnitude of the deviation of characteristics (current from voltage) in electrical engineering. It is possible to represent the instantaneous value of the characteristic under study on the plane through the proven connection between trigonometric functions and the exponent using the method of complex numbers. The use of this method in the integrated safety of enterprises allows to compactly state the sequence in the growth and development of conditions for the occurrence of hazardous events (accidents and fires) that cause damage (material and economic, sanitary, and irretrievable losses of the personnel and third parties). The figures allow to represent the complex value of the influence of factors causing damage from hazardous events (accidents and fires) in the form of vectors directed towards the area of primary and secondary factors and having a deviation from each other by an angle φ. This angle is used in the calculations for the equivalent determination of the impact of damage caused by hazardous events. The example is presented that proves in practice the adequacy of using the method of complex numbers for solving problems in managing the integrated safety system of enterprises in the oil and gas complex of Russia.