Mixed variational problem for a generalized Darcy-Forchheimer model driven by hydraulic fracture Научная публикация
| Конференция |
Analytical and Numerical Methods in Differential Equations A virtual conference on occasion of the 100th birthday of Academician Nikolai N. Yanenko August 23-27, 2021, Suranaree University of Technology, Nakhon Ratchasima, Thailand. 23-27 авг. 2021 , Тайланд |
||
|---|---|---|---|
| Журнал |
Journal of Vibration Testing and System Dynamics
ISSN: 2475-4811 , E-ISSN: 2475-482X |
||
| Вых. Данные | Год: 2023, Том: 7, Номер: 1, Страницы: 15-21 Страниц : 7 DOI: 10.5890-JVTSD.2023.03.003 | ||
| Авторы |
|
||
| Организации |
|
Информация о финансировании (1)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0010 |
Реферат:
The model of a stationary flow in porous media stemming from hydraulic fracking and accounting
for inertial phenomena is considered. The incompressible fluid is modeled by a nonlinear Darcy–Forchheimer
(DF) equation under mixed boundary conditions, which are appropriate for a fluid-driven fracture. The classical
DF equation is generalized with respect to a growth exponent m and inhomogeneous coefficients. Using mixed
variational formulation of the problem for unknown fluid velocity and fluid pressure, the well-posedness theorem
is proved for arbitrary m > 1. The developed Lagrange multiplier formalism is advantageous for optimal shape
design of fractures.
Библиографическая ссылка:
Kovtunenko V.A.
Mixed variational problem for a generalized Darcy-Forchheimer model driven by hydraulic fracture
Journal of Vibration Testing and System Dynamics. 2023. V.7. N1. P.15-21. DOI: 10.5890-JVTSD.2023.03.003 РИНЦ
Mixed variational problem for a generalized Darcy-Forchheimer model driven by hydraulic fracture
Journal of Vibration Testing and System Dynamics. 2023. V.7. N1. P.15-21. DOI: 10.5890-JVTSD.2023.03.003 РИНЦ
Идентификаторы БД:
| РИНЦ: | 54691548 |
Цитирование в БД:
Пока нет цитирований