On a Method of Solving Non-Isothermal Two-Phase Filtration Problems
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References
- Aziz, H., Settari, E. (1982). Mathematical Modeling of Layered Systems [Математическое моделирование пластовых систем]. Nedra, Moscow. 407 pp. (in Russian).
- Artemenko, A. (2003). Viscous business. Artemenko, A., Katavtsev, V. [Артеменко, А. Вязкое дело. А. Артеменко, В. Кашавцев]. Neft Rossii [Oil of Russia], ¹ 11, 30–33 (in Russian).
- Burger, J., Sourieau, P., Combarnous, M. (1989). Thermal Methods of Enhanced Oil Recovery [Вурже, Ж., Сурно, П., Комбрарну, М. Термические методы повышения нефтеотдачи пластов]. Nauka, Moskow. 422 pp. (in Russian).
- Baybakov, N. K., Garushev, A. R. (1981). Thermal Methods of Oil Field Development. [Байбаков, H. К., Гарушев, А. P. Тепловые методы разработки нефтяных месторождений]. Nedra, Moskow. 286 pp. (in Russian).
- Boxerman, A. A., Yakuba, S. I. (1981). Numerical modeling of non-iso-thermal filtration in layered nonhomogeneous porous media [Боксерман, А. А., Якуба, С. И. Численное моделирование неизотермической фильтрации в слоисто-неоднородных пористых средах]. In: Dynamics of Multiphase Media. Novosibirsk, pp., 90–95 (in Russian).
- ElAmin, M. F. (2019). Iterative numerical scheme for non-isothermal two-phase flow in heterogeneous porous media. Algorithms, 12 (6), 117. https://doi.org/10.3390/a12060117.
- Gasimov, S. Y., Mammadov, R. S., Alieva, S. O. (2022). Numerical simulation of two phase non-isothermal processes of nonlinear filtering. Amer. J. Eng. Res., 11, 49–54.
- Huseynov, S. I., Shariati, A. Y. (1999). On numerical solution of speed problem of non-isothermal filtration. Izvestiya ANA, Ser. Fiz. Tekhn. Mat. Nauk., ¹ 3–4, 44–48 (in Azerbaijan).
- Ivanov, M. I., Kremer, I. A., Laevsky, Yu. M. (2023). On non-uniqueness of pressures in problems of fluid filtration in fractured-porous media. J. Comput. Appl. Math., 425, 115052. https://doi.org/10.1016/j.cam.2022.115052(Q1).
- Ivanov, M. I., Kremer, I. A., Laevsky, Yu. M. (2024). Explicit-implicit schemes for non-isotermal filtration problem: Single-temperature model. J. Comput. Appl. Math., 440, 115639. https://doi.org/10.1016/j.cam.2023.115639.
- Polishchuk, Yu. M., Yashchenko, I. G. (2005). High-viscosity oils: Analysis of spatial and temporal changes in physical and chemical properties [Полищук, Ю. M., Ященко, И. Г. Высоковязкие нефти: анализ пространственных и временных изменений физико-химических свойств]. Oil and Gas Business, ¹1. http://ogbus.ru/files/ogbus/authors/PolishukYu/PolishukYu_1.pdf.
- Qasimov, S. Y., Mammadov, R. S., Karimova, S. R. (2019). Numerical investigation of the problem of nonlinear three-phase filtration. Technol. Audit Prod. Res., 1 (45), 44–50.
- Samarski, A. A., Popov, Y. P. (2003). Difference Schemes of Gas Dynamics [Самарский, А. А., Попов, Ю. П. Разностные схемы газовой динамики]. Nauchniy Mir, Moskow. 352 pp. (in Russian).
- Surguchev, M. P. (1985). Secondary and Tertiary Methods of Enhanced Oil Recovery [Сургучев, M. П. Вторичные и третичные методы увеличения нефтеотдачи пластов]. Nedra, Moskow. 308 pp. (in Russian).
- Zheltov, Yu. P. (1998). Development of Oil Fields [Желтов, Ю. П. Механика нефтегазоносного пласта]. Manual for universities, 2nd edn. Nedra, Moscow. 365 pp. (in Russian).
Language: English
Page range: 220 - 225
Submitted on: Apr 4, 2024
Accepted on: Oct 6, 2024
Published on: Sep 27, 2025
Published by: Latvian Academy of Sciences
In partnership with: Paradigm Publishing Services
Publication frequency: 6 times per year
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© 2025 Sardar Gasimov, Rashad Mammadov, published by Latvian Academy of Sciences
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