Mathematical Modeling of Electrokinetic Transport and Enhanced Oil Recovery In Porous Geo-Media - Electrokinetics for Petroleum and Environmental Engineers - page 200

Table 5.1 Parameters and descriptions used in simplified two-phase flow
equations

Parameter Description Unit (metric)

n Porosity of the media -

S w Water saturation -

Mass density of water Kg/m 3

r w

v w Velocity of water phase m/day

q w Source/sink term in water phase m 3 /day

k Intrinsic permeability of the medium m 2

k rw Relative permeability of water phase -

Dynamic viscosity of the water Pa.sec

m w

P w Hydraulic pressure in water phase kPa

S o Oil saturation -

Mass density of oil Kg/m 3

r o

Velocity of oil phase m/day

n o

q o Source/sink term in oil phase m 3 /day

k ro Relative permeability of oil phase -

m o Dynamic viscosity of the oil Pa.sec

P o Hydraulic pressure in oil phase kPa

g Gravitational constant m/sec 2

z Elevation m

P C

Capillary pressure kPa

curvature and surface tension of the interface between the oil and water
phases. This set of equations is supplied with proper initial and boundary
conditions and are solved using different solution techniques. One impor-
tant phenomenon in two-phase flow is the contribution of viscous cou-
pling through momentum transfer between the fluids. The contribution of
viscous coupling is ignored in this simple representation of two-phase flow
(eq. 5.59 to 5.64). The contribution of viscous coupling in two-phase flow
is discussed in the following section.