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Aliev, Fikret, Jamalbayov, Mahammad, Hasanov, Ilyas, Valiyev, Nazim, Hajiyeva, Nazile. (1402). Mathematical modeling of a nonlinear two-phase flow in a porous medium and the inflow of volatile oil to a well taking into account inertial effects. سامانه مدیریت نشریات علمی, 11(4), 664-675. doi: 10.22034/cmde.2023.48570.2032
Fikret Ahmadali Aliev; Mahammad Jamalbayov; Ilyas Hasanov; Nazim Valiyev; Nazile Hajiyeva. "Mathematical modeling of a nonlinear two-phase flow in a porous medium and the inflow of volatile oil to a well taking into account inertial effects". سامانه مدیریت نشریات علمی, 11, 4, 1402, 664-675. doi: 10.22034/cmde.2023.48570.2032
Aliev, Fikret, Jamalbayov, Mahammad, Hasanov, Ilyas, Valiyev, Nazim, Hajiyeva, Nazile. (1402). 'Mathematical modeling of a nonlinear two-phase flow in a porous medium and the inflow of volatile oil to a well taking into account inertial effects', سامانه مدیریت نشریات علمی, 11(4), pp. 664-675. doi: 10.22034/cmde.2023.48570.2032
Aliev, Fikret, Jamalbayov, Mahammad, Hasanov, Ilyas, Valiyev, Nazim, Hajiyeva, Nazile. Mathematical modeling of a nonlinear two-phase flow in a porous medium and the inflow of volatile oil to a well taking into account inertial effects. سامانه مدیریت نشریات علمی, 1402; 11(4): 664-675. doi: 10.22034/cmde.2023.48570.2032

Mathematical modeling of a nonlinear two-phase flow in a porous medium and the inflow of volatile oil to a well taking into account inertial effects

Computational Methods for Differential Equations
مقاله 1، دوره 11، شماره 4، مهر 2023، صفحه 664-675    اصل مقاله (661.39 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.48570.2032
نویسندگان
Fikret Ahmadali Aliev* 1، 2؛ Mahammad Jamalbayov3؛ Ilyas Hasanov3؛ Nazim Valiyev4؛ Nazile Hajiyeva1
1Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan.
2Institute of Information Technologies of the National Academy of Sciences of Azerbaijan, Baku, Azerbaijan.
3Socar "Oil gas scientific research project" Institute, AZ1122, Hasan Bey Zardabi, Baku, Azerbaijan.
4Socar Head Office
چکیده
This paper discusses a semi-analytic solution for the volatile oil influx into the well on the base of Forchheimer flow law. The solution is developed employing the concept of binary model for the two-phase petroleum hydrocarbon system in view of phase transformations and interphase mass transfer. Algorithms are developed for calculating the volatile oil reservoir key performance indicators by applying the material balance equations, which take into account the compaction behavior of rocks. A computer simulator for the volatile oil reservoir is modeled, proceeding from these algorithms. The inertial effects on the development process of a volatile oil reservoir, the rocks of which are exposed to elastic deformation, are studied by this simulator. In regard thereto, the reservoir development process is simulated in two variants in conformity with the constant depression: in the first case, it is assumed that the filtration occurs according to Darcy's law, while in the second one, the process is considered on the base of Forchheimer equation. A comparison of the results of these options made it possible to demonstrate the nature of the inertial effects on the volatile oil reservoir key performance indicators.
کلیدواژه‌ها
Volatile oil؛ Inertial effects؛ Nonlinear flow؛ Compressibility؛ Deformation
مراجع
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