scholarly journals Asymptotic behaviour of a viscoplastic bingham fluid in porous media with periodic structure

1989 ◽  
Vol 10 (1) ◽  
pp. 37-64
Author(s):  
Alain Brillard
Keyword(s):  
Porous Media ◽  
Asymptotic Behaviour ◽  
Periodic Structure ◽  
Bingham Fluid

SHOCK PROPAGATION IN A FLOW THROUGH DEFORMABLE POROUS MEDIA: ASYMPTOTIC BEHAVIOUR AS THE POROSITY APPROXIMATES A CONSTANT

2007 ◽  
Vol 17 (08) ◽  
pp. 1261-1278
Author(s):  
ELENA COMPARINI ◽  
MAURA UGHI
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Hydraulic Conductivity ◽  
Asymptotic Behaviour ◽  
Incompressible Flow ◽  
Shock Propagation ◽  
One Dimensional ◽  
Deformable Porous Media ◽  
Flux Intensity ◽  
Flow Through

We consider a one-dimensional incompressible flow through a porous medium undergoing deformations such that the porosity and the hydraulic conductivity can be considered as functions of the flux intensity. We prove that if one approximates the porosity with a constant then the solution of the hyperbolic problem converges to the classical continuous Green–Ampt solution, also in the presence of shocks. In general, however, the shocks remain present in any approximating solution.

scholarly journals Asymptotic behaviour of the porous media equation in domains with holes

2007 ◽  
pp. 211-232 ◽  
Author(s):  
Cristina Brändle ◽  
Fernando Quiros ◽  
Juan Vázquez
Keyword(s):  
Porous Media ◽  
Asymptotic Behaviour ◽  
Porous Media Equation ◽  
Media Equation

scholarly journals Asymptotic behaviour of a Bingham fluid in thin layers

2004 ◽  
Vol 293 (2) ◽  
pp. 405-418 ◽  
Author(s):  
Renata Bunoiu ◽  
Srinivasan Kesavan
Keyword(s):  
Asymptotic Behaviour ◽  
Bingham Fluid ◽  
Thin Layers

scholarly journals Does Rheology of Bingham Fluid Influence Upscaling of Flow through Tight Porous Media?

Energies ◽  
2021 ◽  
Vol 14 (3) ◽  
pp. 680
Author(s):  
Tong Liu ◽  
Shiming Zhang ◽  
Moran Wang
Keyword(s):  
Porous Media ◽  
Pressure Gradient ◽  
Sample Size ◽  
Effective Permeability ◽  
Bingham Fluid ◽  
Newtonian Fluids ◽  
Absolute Permeability ◽  
Start Up ◽  
Flow Through ◽  
Tight Porous Media

Non-Newtonian fluids may cause nonlinear seepage even for a single-phase flow. Through digital rock technologies, the upscaling of this non-Darcy flow can be studied; however, the requirements for scanning resolution and sample size need to be clarified very carefully. This work focuses on Bingham fluid flow in tight porous media by a pore-scale simulation on CT-scanned microstructures of tight sandstones. A bi-viscous model is used to depict the Bingham fluid. The results show that when the Bingham fluid flows through a rock sample, the flowrate increases at a parabolic rate when the pressure gradient is small and then increases linearly with the pressure gradient. As a result, an effective permeability and a start-up pressure gradient can be used to characterize this flow behavior. By conducting flow simulations at varying sample sizes, we obtain the representative element volume (REV) for effective permeability and start-up pressure gradient. It is found that the REV size for the effective permeability is almost the same as that for the absolute permeability of Newtonian fluid. The interesting result is that the REV size for the start-up pressure gradient is much smaller than that for the effective permeability. The results imply that the sample size, which is large enough to reach the REV size for Newtonian fluids, can be used to investigate the Bingham fluids flow through porous media as well.

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