N.P. Petrov1, S.N. Petrova2, N. V. Korzhavina3, E. V. Lisovsky4

1 Cheboksary Institute (branch) Moscow Polytechnic University (Cheboksary, Russia)

2,3 Technical University of the Ural Mining and Metallurgical Company (Verkhnyaya Pyshma, Russia)

3 Ural State Low University (Ekaterinburg, Russia)

2  Technical University of the Ural Mining and Metallurgical Company (Verkhnyaya Pyshma, Russia)

4  Kaluga branch of the Bauman Moscow State Technical University (Moscow, Russia) 

The development of methods for modeling the motion of fluid in a well is an urgent area of both theoretical and applied interest. In mathematical modeling of real processes of fluid motion, it is possible to use a description using continuous distributions and use a well-developed apparatus of continuum mechanics and differential calculus. The purpose of the work is to synthesize and analyze a model of the motion of a heterogeneous fluid in a well based on the methods of continuum mechanics and differential calculus. The issues of constructing and studying models of the motion of a multiphase fluid in a well are considered. Systems of equations of conservation of phase masses, momentum and energy of a two-phase mixture are studied. The approach to the search for the optimal pressure of liquid supply to the well and to the estimation of the velocity distribution of liquid and particles is described. The results can find applications in modeling processes related to fluid movement, as well as in the development of technologies in the oil and gas industry, as well as technologies aimed at ensuring environmental safety.

Petrov N. P., Petrova S. N., Korzhavina N. V., Lisovsky E. V. Design and analysis of a mathematical model of the motion of a heterogeneous fluid in a well. Nonlinear World. 2021. V. 19. № 3. 2021. P. 37−45. DOI: https://doi.org/10.18127/j20700970202103-04 (In Russian)

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