MATHEMATICAL FRAMEWORK OF THE WELL PRODUCTIVITY INDEX FOR FAST FORCHHEIMER (NON-DARCY) FLOWS IN POROUS MEDIA
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Publication:3638803
DOI10.1142/S0218202509003772zbMath1421.76217MaRDI QIDQ3638803
Eugenio Aulisa, Akif Ibragimov, Peter P. Valkó, Jay R. Walton
Publication date: 28 October 2009
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Non-Newtonian fluids (76A05) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Flows in porous media; filtration; seepage (76S05)
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Well productivity index for compressible fluids and gases ⋮ A finite difference approximation of reduced coupled model for slightly compressible Forchheimer fractures in Karst aquifer system ⋮ A block-centered finite difference method for slightly compressible Darcy-Forchheimer flow in porous media ⋮ Modelling boundary and nonlinear effects in porous media flow ⋮ Fracture model reduction and optimization for Forchheimer flows in reservoirs ⋮ Structure of the dependence of Darcy and Forchheimer coefficients on porosity ⋮ A heterogeneous multiscale MPFA method for single-phase flows in porous media with inertial effects ⋮ A two-grid block-centered finite difference algorithm for nonlinear compressible Darcy-Forchheimer model in porous media ⋮ Analysis of generalized Forchheimer flows of compressible fluids in porous media ⋮ Numerical analysis and modeling of multiscale Forchheimer-forchheimer coupled model for compressible fluid flow in fractured media aquifer system ⋮ Geometric framework for modeling nonlinear flows in porous media, and its applications in engineering ⋮ Analysis of expanded mixed finite element methods for the generalized forchheimer flows of slightly compressible fluids ⋮ Geometric model of the fracture as a manifold immersed in porous media ⋮ Long-term dynamics for well productivity index for nonlinear flows in porous media ⋮ Nonlinear and non-local analytical solution for Darcy–Forchheimer flow through a deformable porous inclusion within a semi-infinite elastic medium
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- ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS
- On a Mathematical Model of the Productivity Index of a Well from Reservoir Engineering
- On the equations of capillarity
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