(a) (b) (c)
(a) Oil (fully non-wetting fluid, red) is displaced by water (fully wetting fluid, blue) in a porous media (solid is white).
(b) water (fully wetting fluid, blue) is displaced by Oil (fully non-wetting fluid, red) in a porous media (solid is white).
(c) Oil and Water are neutrally-wetting ( Water displace Oil )
Shan-Chen multi-component multiphase are used. Density of Oil and Water are equal to 2 mu/lu^3. (mu means mass unit; lu means lattice unit )
Totally 20,000 ts (time steps) are performed in the simulation.
A Non-Wetting fluid displacing a Wetting fluid
case 1 case 2 case3
case 4 case 5 case 6
Figure . 6 cases of different pressure boundary for Blue Non-wetting fluid is displacing the Red wetting fluid. The pressure (density ) are listed in the following Table. The domain is 100*100, pressure inlet/ pressure outlet boundary conditions are applied. All the Figures illustrate the final states of the displacement (20,000 time steps )
ρ1 is the non-wetting fluid density, ρ2 is the wetting fluid density.
|
case |
ρ1 (Blue area) |
ρ2 (Blue area) |
ρ2 (Red area) |
ρ1 (Red area) |
dp |
R |
1/R |
|
1 |
2.032 |
0.0092 |
1.969 |
0.01 |
0.02123 |
15.94517 |
0.06271 |
|
2 |
2.0366 |
0.0098 |
1.961 |
0.011 |
0.02561 |
13.625 |
0.07339 |
|
3 |
2.012 |
0.01 |
1.992 |
0.01 |
0.00657 |
51.32325 |
0.01948 |
|
4 |
2.0165 |
0.0094 |
1.985 |
0.01 |
0.01075 |
31.13605 |
0.03212 |
|
5 |
2.056 |
0.012 |
1.9422 |
0.011 |
0.03661 |
9.00319 |
0.11107 |
|
6 |
2.06 |
0.01 |
1.937 |
0.01 |
0.04038 |
8.03056 |
0.12452 |
The following Figure is a drawing from the above data. 
,
please notice in our simulations:
The cohesive force acting on the σth component is defined as (Martys and Chen, 1996),
Figure : The Now-Wetting fluid (red) was initialized as a cubic area in the center area, due to cohesion force
the non-wetting fluid would form a sphere finally as the animation shown above.
Figure : 3D Test of Laplace’s Law