«Automation and Informatization of the fuel and energy complex»

MODIFICATION OF A FILTRATION EQUATION SOLUTION

UDC: 519.65
DOI: 10.33285/0132-2222-2021-5(574)-35-38

Authors:

¹ Izhevsk State Technical University named after M.T. Kalashnikov, Izhevsk, Russian Federation
² MIREA - Russian Technological University, Moscow, Russian Federation

Keywords: oil, effective management, calculation methods, accuracy

Annotation:

Currently, industry and transport cannot do without oil and gas. On the other hand, most of the old deposits have hard-to-recover resources. In such conditions, the problem of production optimization becomes especially urgent. The theoretical part of the problem includes several laborious calculations, including the solution of the filtration equation. It is customary to solve this equation in curvilinear coordinates of three-dimensional Euclidean space using approximation methods. It is proposed to replace curvilinear coordinates for ordinary ones, but consider the problem in a non-orthogonal basis for four-dimensional space-time. The problem is solved analytically, which makes it possible to reduce the time to find a solution and increase the accuracy of calculations. Some of the results are shown in brief.

Bibliography:

1. Key World Energy Statistics 2020. - Paris: IEA, 2020. - URL: https://www.iea.org/reports/key-world-energy-statistics-2020
2. Родионова И.А., Черняев М.В., Шувалова О.В. Оценка потенциала БРИКС в мировой энергетике // Фундаментальные исследования. - 2017. - № 6. - С. 175-184.
3. Эволюция измерений многофазных потоков и их влияние на управление эксплуатацией / Э. Тоски, Э. Окугбайе, Б. Теувени [и др.] // Нефтегазовое обозрение. - 2003. - Весна. - С. 68-76.
4. Никитина А.В., Чистяков А.Е., Фоменко Н.А. Применение адаптивного модифицированного попеременно-треугольного итерационного метода для численной реализации двумерной математической модели движения водной среды // Инженерный вестн. Дона. - 2012. - № 2 (20). - С. 335-339.
5. Spesivtsev P.E., Kharlashkin A.D., Sinkov K.F. Study of the Transient Terrain-Induced and Severe Slugging Problems by Use of the Drift-Flux Model // SPE J. - 2017. - Vol. 22, Issue 05. - P. 1570-1584. - DOI: 10.2118/186105-PA
6. Ziff B.H. Unforeseen Legacies: Reuben Wells Leonard and the Leonard Foundation Trust. - University of Toronto Press, 2000. - 320 p. 7. Sandrea I., Sandrea R. Recovery factors leave vast target for EOR technologies // Oil & Gas J. - 2007. - Vol. 105. - P. 44-47.
8. Faizullin R., Miroshnichenko S., Sultanov R. Bottom-hole pressure optimization when operating the well lateral horizontal hole // E3S Web of Conf. - 2020. - Vol. 217. - DOI: 10.1051/e3sconf/202021703008
9. Generalized three-dimensional lattice Boltzmann color-gradient method for immiscible two-phase pore-scale imbibition and drainage in porous media / S. Leclaire, A. Parmigiani, O. Malaspinas [et al.] // Physical Review E. - 2017. - Vol. 95, Issue 3. - DOI: 10.1103/PhysRevE.95.033306
10. A realistic and integrated model for evaluating oil sands development with steam assisted gravity drainage technology in Canada / Zhenhua Rui, Xiaoqing Wang, Zhien Zhang [et al.] // Applied Energy. - 2018. - Vol. 213. - P. 76-91. - DOI: 10.1016/j.apenergy.2018.01.015
11. Есаулов В.А., Гринченков Д.В., Мохов В.А. Итерационный метод решения систем линейных уравнений с использованием q-градиента // Инженерный вестн. Дона. - 2015. - № 3 (37). - С. 36.
12. Buckley M.P., Veron F. The turbulent airflow over wind generated surface waves // European J. of Mechanics - B/Fluids. - 2019. - Vol. 73. - P. 132-143. - DOI: 10.1016/j.euromechflu.2018.04.003
13. Lozhkin A., Korobeynikov A., Khaziyakhmetov R. The Newton problem solution of the transformed complex curve parameters // J. of Physics: Conference Series. - 2019. - Vol. 1399, Issue 2. - DOI: 10.1088/1742-6596/1399/2/022004
14. Ложкин А.Г. Собственный неортогональный постоянный базис квадратичной формы // Вестн. Ижевского гос. техн. ун-та. - 2008. - № 4. - С. 206-209.