Interface stability of compressible fluids in porous media

2021 ◽  
Vol 33 (8) ◽  
pp. 084102
Author(s):  
Thi Thai Le ◽  
Thorsten Koch
Keyword(s):  
Porous Media ◽  
Compressible Fluids ◽  
Interface Stability

scholarly journals Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids

2017 ◽  
Vol 17 (4) ◽  
pp. 739-767 ◽  
Author(s):  
Luan T. Hoang ◽  
Thinh T. Kieu
Keyword(s):  
Porous Media ◽  
Boundary Data ◽  
Dirichlet Boundary ◽  
Time Derivative ◽  
Compressible Fluids ◽  
Time Dependent ◽  
Asymptotic Estimates ◽  
Slightly Compressible ◽  
Interior Estimates ◽  
Dirichlet Boundary Data

AbstractThe generalized Forchheimer flows are studied for slightly compressible fluids in porous media with time-dependent Dirichlet boundary data for the pressure. No restrictions are imposed on the degree of the Forchheimer polynomial. We derive, for all time, the interior {L^{\infty}}-estimates for the pressure, its gradient and time derivative, and the interior {L^{2}}-estimates for its Hessian. The De Giorgi and Ladyzhenskaya–Uraltseva iteration techniques are used taking into account the special structures of the equations for both pressure and its gradient. These are combined with the uniform Gronwall-type bounds in establishing the asymptotic estimates when time tends to infinity.

scholarly journals Analysis of generalized Forchheimer flows of compressible fluids in porous media

2009 ◽  
Vol 50 (10) ◽  
pp. 103102 ◽  
Author(s):  
Eugenio Aulisa ◽  
Lidia Bloshanskaya ◽  
Luan Hoang ◽  
Akif Ibragimov
Keyword(s):  
Porous Media ◽  
Compressible Fluids

scholarly journals A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media

2020 ◽  
Vol 402 ◽  
pp. 109075 ◽  
Author(s):  
Amit Katiyar ◽  
Shivam Agrawal ◽  
Hisanao Ouchi ◽  
Pablo Seleson ◽  
John T. Foster ◽  
...  
Keyword(s):  
Porous Media ◽  
Compressible Fluids ◽  
Multiphase Transport
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