2. Computation of the zone of endangering influence may be based upon the parameters listed in the following equation and should be calculated for an injection time period equal to the expected life of the injection well or pattern. The following modified Theis equation illustrates one form which the mathematical model may take. Click here to view Image
r = Radius of endangering influence from injection well (length)
K = Hydraulic conductivity of the injection zone (length/time)
H = Thickness of the injection zone (length)
t = Time of injection (time)
S = Storage coefficient (dimensionless)
Q = Injection rate (volume/time)
hbo = Observed original hydrostatic head of injection zone (length) measured from the base of the lowermost USDW
hw = Hydrostatic head of USDW (length) measured from the base of the lowest USDW
Sp Gb = Specific gravity of fluid in the injection zone (dimensionless)
[PI] = 3.142 (dimensionless)
The above equation is based on the following assumptions:
1. The injection zone is homogeneous and isotropic;2. The injection zone has infinite area extent;3. The injection well penetrates the entire thickness of the injection zone;4. The well diameter is infinitesimal compared to "r" when injection time is longer than a few minutes; and5. The emplacement of fluid into the injection zone creates instantaneous increase in pressure.