Macroscopic capillarity and hysteresis for flow in porous media.

A “v2-f Based” Macroscopic K-Ε Model for Turbulent Flow through Porous Media

In this paper a new macroscopic k-ε model is developed and validated for turbulent flow through porous media for a wide range of porosities. The morphology of porous media is simulated by a periodic array of square cylinders. In the first step, calculations based on microscopic v2 − f model are conducted using a Galerkin/Least-Squares finite element formulation, employing equalorder bilinear ve...

Numerical solutions of a generalized theory for macroscopic capillarity.

A recent macroscopic theory of biphasic flow in porous media [R. Hilfer, Phys. Rev. E 73, 016307 (2006)] has proposed to treat microscopically percolating fluid regions differently from microscopically nonpercolating regions. Even in one dimension the theory reduces to an analytically intractable set of ten coupled nonlinear partial differential equations. This paper reports numerical solutions...

Impact of Internal Structure on Foam Stability in Model Porous Media

Application of foam in EOR, increases macroscopic sweep efficiency via awesome increscent of mobility control. Macroscopic manifestation of foam application performance in porous media is complex process that involves several interacting microscopic foam events. Stability as an important factor in foam injection within large reservoirs, depends on several variables including oil saturation, con...

Absolute Permeability Calculation by Direct Numerical Simulation in Porous Media

Simulating fluid flow at micro level is an ongoing problem. Simplified macroscopic flow models like Darcy’s law is unable to estimate fluid dynamic properties of porous media. The digital sample reconstruction by high resolution X-ray computed tomography scanning and fluid-dynamics simulation, together with the increasing power of super-computers, allow to carry out pore-scale simulations throu...

Algebraic Dynamic Multilevel (ADM) Method for Immiscible Multiphase Flow in Heterogeneous Porous Media with Capillarity