Mathematical Averaging of the Coefficients of a System of Elliptic and Parabolic Equations in Continuum Mechanics
- Авторлар: Plohotnikov S.1, Bogomolov V.1, Nizayev R.2, Bogomolova O.1, Malov P.1
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Мекемелер:
- Kazan National Research Technological University
- The Tatar Oil Research and Design Institute
- Шығарылым: Том 40, № 5 (2019)
- Беттер: 681-689
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204530
- DOI: https://doi.org/10.1134/S1995080219050160
- ID: 204530
Дәйексөз келтіру
Аннотация
The problem of averaging the physical parameters (the coefficients of a system of elliptic and parabolic equations) of the continuum mechanics is studied. As an example, we consider the mathematical model of two-phase filtration. A comparative analysis of a numerical solution of the two-phase filtration in two known models averaged over the thickness of oil bed and in three-dimensional reference models is performed. The calculations are made using the linear, quadratic, and cubic initial permeability. All the calculations are performed for five-point and nine-point flooding systems.
Авторлар туралы
S. Plohotnikov
Kazan National Research Technological University
Хат алмасуға жауапты Автор.
Email: belova-elena-n@mail.ru
Ресей, Kazan, Tatarstan, 420015
V. Bogomolov
Kazan National Research Technological University
Хат алмасуға жауапты Автор.
Email: bogomolov@kfti.knc.ru
Ресей, Kazan, Tatarstan, 420015
R. Nizayev
The Tatar Oil Research and Design Institute
Хат алмасуға жауапты Автор.
Email: nizaev@tatnipi.ru
Ресей, Bugul’ma, Tatarstan, 423236
O. Bogomolova
Kazan National Research Technological University
Хат алмасуға жауапты Автор.
Email: boikfti@yandex.ru
Ресей, Kazan, Tatarstan, 420015
P. Malov
Kazan National Research Technological University
Хат алмасуға жауапты Автор.
Email: pavel.malov@mail.ru
Ресей, Kazan, Tatarstan, 420015