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Nomenclature
PRRC Home
Research Groups
Reservoir Sweep Improvement
Gel Placement Concepts
Nomenclature
D = diffusion coefficient, cm
2
/s
C = concentration, g/cm
3
C
o
= initial concentration, g/cm
3
c = compressibility, psi
-1
[Pa
-1
]
F
r
= resistance factor (brine mobility before placement of blocking agent divided by blocking-agent mobility before setting or gelation)
F
r1
= resistance factor in Zone 1, Core 1, or Fracture 1
F
r2
= resistance factor in Zone 2, Core 2, or Fracture 2
F
rr
= residual resistance factor (mobility before placement of blocking agent divided by mobility after placement of blocking agent)
F
rr1
= residual resistance factor in Zone 1
F
rr2
= residual resistance factor in Zone 2
F
rro
= oil residual resistance factor
F
rrw
= water residual resistance factor
G = gravity number
g = acceleration of gravity, ft/s
2
[m/s
2
]
h = formation thickness, ft [m]
I = injectivity, bbl/D-psi [m
3
/s-Pa]
I
o
= initial injectivity, bbl/D-psi [m
3
/s-Pa]
k = permeability, md [µm
2
]
k
i
= permeability in Zone i or direction i, md [µm
2
]
k
1
= permeability in Zone 1, md [µm
2
]
k
2
= permeability in Zone 2, md [µm
2
]
L = distance or gelant or gel bank length, ft [m]
L
m
= length of the mixing zone, ft [m]
m
H
= slope from Hall plot, psi-D/B [Pa-s/m
3
]
PV = pore volume
p = pressure, psi, [Pa]
p
e
= pressure at the external drainage radius, psi [Pa]
p
wo
= initial pressure at the wellbore, psi [Pa]
p
w2
= final pressure at the wellbore, psi [Pa]
p = pressure drop, psi [Pa]
q = volumetric injection or production rate, bbl/D [m
3
/s]
r = radius or pore radius, ft [m]
r
e
= external drainage radius, ft [m]
r
p
= radius of penetration, ft [m]
r
pi
= radius of penetration into Layer i, ft [m]
r
p1
= radius of penetration into Layer 1, ft [m]
r
p2
= radius of penetration into Layer 2, ft [m]
r
w
= wellbore radius, ft [m]
s = skin factor
t = time, s
t
g
= gelation time, s
t
tr
= transient time, s
u = superficial or Darcy velocity or flux, ft/d [cm/s]
u
z
= vertical superficial velocity, ft/d [cm/s]
α = dispersivity, cm
µ = fluid viscosity, cp [mPa-s]
µ
o
= oil viscosity, cp [mPa-s]
µ
p
= gelant viscosity, cp [mPa-s]
µ
w
= water viscosity, cp [mPa-s]
ó = standard deviation, µm
Ø = porosity
Ø
i
= effective aqueous-phase porosity in Zone i
Ø
1
= porosity of Zone 1
Ø
2
= porosity of Zone 2
Θ = dip angle relative to horizontal
ρ = density, g/cm
3
Δρ = density difference, g/cm
3
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