Substantiation of the methodology for modeling and calculating the optimal operating modes of a tandem pumping installation when mining uranium
Beibit Myrzakhmetov1, Arkhat Sultabayev1, Saltanat Toktamissova1
1Satbayev University, Аlmaty, 50013, Кazakhstan
Min. miner. depos. 2020, 14(4):59-65
https://doi.org/10.33271/mining14.04.059
Full text (PDF)
      ABSTRACT
      Purpose. The purpose of the research is to develop a mathematical model of the jet pump (JP) working process and a calculation methodology for modeling, as well as to determine the optimal operating modes of a combined pumping installation in downhole conditions.
      Methods. When conducting research, the coordinated operation of an electric-centrifugal pump (ECP), a jet pump and a reservoir is determined as the initial compulsory condition for the effective exploitation of extraction wells using a tandem pumping installation (TPI). Theoretical studies describing the joint operation of a jet pump and an electric-centrifugal pump were conducted, in the course of which mathematical modeling of the “productive reservoir – electric-centrifugal pump – jet pump” system operation in a coordinated mode was used. Specific data from the Khorasan-2 deposit (Republic of Kazakhstan) mines are accepted as the initial data during the modelling. When modelling the jet pump operating modes, special attention is paid to determining the boundary parameters of the pumped-out productive solution, at which cavitation can occur. The modelling is performed using the Maple software package from Waterloo Maple Inc.
      Findings. To assess the efficiency of pumping-out the productive uranium solutions from wells using tandem pumping installations, a mathematical model of the jet pump working process has been developed. On its basis, a calculation metho-dology for modeling the operating modes of a combined pumping installation with imitation of actual downhole conditions has been compiled.
      Originality.As a result of computational modeling, the high sensitivity of the cavitation modes of the jet pump operation to the design parameters of the jet pump main elements has been revealed, while the tandem installation itself as a whole has a lower sensitivity to changes in dynamic conditions. It has been substantiated that the use of a tandem pumping scheme for pumping-out a productive uranium solution can increase the productivity and energy efficiency of the process.
      Practical implications. The calculation methodology and algorithm make possible, with sufficient accuracy for practical use, to quickly calculate the required geometric parameters of the jet pump to ensure rational and cavitation-free modes of the tandem pumping installation depending on the specific downhole conditions in the “reservoir – electrical centrifugal pump – jet pump” system. In addition, it is possible to develop some practical recommendations for the design of jet pumps, working in tandem with submersible electric-centrifugal pumps.
      Keywords: modelling, virtual model, pump, well, nozzle, diffuser, uranium mining, cavitation
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