Symbols |
Designation |
Unit |
Letters |
|
|
A |
Cross-sectional area |
m2 |
g |
Gravitational acceleration |
ms-2 |
Pf |
Oil phase pressure |
kgm-1s-2 |
Pk |
Kinematic pressure |
kgm-1s-2 |
Ps |
Sand phase pressure |
kgm-1s-2 |
Pw |
Water phase pressure |
kgm-1s-2 |
qf |
Volume flow rate of oil |
m3s-1 |
qs |
Volume flow rate of sand |
m3s-1 |
qw |
Volume flow rate of water |
m3s-1
|
t |
Time |
hrs or s |
Vm |
Volume of mixture |
m3 |
wo |
Oil velocity |
ms-1 |
ws |
Sand velocity |
ms-1 |
ww |
Water velocity |
ms-1 |
z |
Axial distance |
m |
β |
Fluid-particle interaction coefficient |
kgm3s-1 |
Δz |
Change in length |
m |
ε |
Oil concentration (volume fraction) |
- |
ϕ |
Suspended sand concentration (volume fraction) |
- |
σ |
Deposited sand concentration (volume fraction) |
- |
ϕ’ |
Total sand concentration (volume fraction) |
- |
θ |
Water concentration (volume fraction) |
- |
ρf |
Oil density |
kg/m3 |
ρs |
Sand density |
kg/m3 |
ρw |
Water density |
kg/m3 |