Mathematical model of a auger string of an oil well
Students Name: Bilenkyi Roman Ihorovych
Qualification Level: magister
Speciality: Electrical Energetics, Electrical Engineering and Electromechanics
Institute: Institute of Power Engineering and Control Systems
Mode of Study: full
Academic Year: 2022-2023 н.р.
Language of Defence: ukrainian
Abstract: The object of the study is a column of deep pump rods. The subject of research is the deformation processes in the rods of the deep pump. The purpose of the work is to develop a mathematical model of a column of rods of a deep rod pump for the construction of a loading dynamogram. In the master’s qualification work, an analysis of methods and methods for oil extraction is carried out, which shows the advantages and disadvantages of certain methods. Fountain and gas lift methods of oil extraction are considered. Oil extraction using submersible centrifugal electric pumps is also considered. Their comparison is made, the terms of use of each of them are given. The main focus of the work is on oil extraction with the help of deep rod pumps, since in Ukraine at least two thirds of the fund of active production wells are operated by deep rod installations. The equipment for the operation of wells in this way includes a deep rod pump, a system of pumping and compression pipes and rods on which the pump is suspended in the well, the drive part of an individual rod installation of the balancing type, consisting of a rocking machine and an electric motor, wellhead equipment intended for suspension of pump pipes and mouth sealing, device for suspension of pump rods to the head of the balancer of the rocking machine. The main disadvantages of rod pumps are limitations on the depth of pump descent and limitations on the inclination of the wellbore. In the second section of the MKR, the process of forming the dynamogram of the rod submersible pump is described. A dynamogram is a graph of the change in load on a polished rod depending on its position. The change in load on the polished rod during one full stroke of the swing machine is the result of a complex interaction of a large number of factors. Even if the production factors and the condition of the pump are unchanged, by changing one of such factors as the number of oscillations, stroke length, immersion depth, pump diameter, we will get significantly different dynamograms. A model of the rod column of an oil well was developed based on the equation of the rod’s longitudinal oscillations. In the third section of the work, using the Mathcad 15 package, the deformations of the rod column were calculated for a real submersible pump based on the developed model and given initial conditions. The results of the calculations are summarized in the table, which shows the initial conditions for the calculation, the coordinates of the rods and the tension of the rods, as well as the graphs of the tension of the rods. In the future, this model will make it possible to simulate operating modes and various malfunctions that occur during the operation of rod submersible pumps (leakage in the discharge valve, emulsion formation, paraffin deposits, jamming of the plunger, and others), as well as to simulate the effect of rod stretching and malfunctions on the operation of the electric drive installation.