- 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}