Drainage in a model stratified porous medium

Drainage in a model stratified porous medium

We show that when a non-wetting fluid drains a stratified porous medium at sufficiently small capillary numbers Ca, it flows only through the coarsest stratum of the medium; by contrast, above a threshold Ca, the non-wetting fluid is also forced laterally, into part of the adjacent, finer strata. The spatial extent of this partial invasion increases with Ca. We quantitatively understand this be...

A two-dimensional sink in a density-stratified porous medium

Hydromagnetic Instability of Stratified Rivlin-Ericksen Fluid in Porous Medium in the Presence of Suspended Particles

The stability of stratified Rivlin-Ericksen fluid in porous medium in the presence of suspended particles and magnetic field has been investigated. Upon application of normal mode technique, the dispersion relation was obtained. The important results obtained in this paper include the instability of non-oscillatory modes and the stability of oscillatory modes. Also, it was found that the system...

Influence of buoyancy on drainage of a fractal porous medium.

The influence of stabilizing hydrostatic pressure gradients on the drainage of a fractal porous medium is studied. The invasion process is treated with invasion percolation (IP) in a gradient. Fractality is mimicked by randomly closing bonds of a network. Two length scales govern the problem: the characteristic length of the pore structure xi(s) and a length scale xi(g) above which buoyancy det...

2d Simulation of Drainage Performance in a Stratified Vertical Porous Channel

A 2D numerical simulation of the drainage process in a stratified vertical porous channel is performed for different gas flow rates. The porous matrix consists of two cylindrical homogeneous layers of packed sand with different permeability, initially saturated with a wetting phase. The porosity and the permeability of each layer are assumed to be constant. Since the injected gas is provided th...