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This is a period of radial flow out from the injectors from the start of injection until the oil banks, formed around adjacent injectors, meet. The meeting of these adjacent oil banks is termed "interference".
The performance calculations, for this stage, are given by the two following steps:
| 1. | Calculate the cumulative water injected to interference from the following equation : |
where,
Wii = cumulative water injected to interference
Sgi = initial gas saturation
ϕ = porosity
rei = half the distance between adjacent injectors
| 2. | Assume successive values of cumulative water injected, ranging between 0 and Wii, and calculate the water-injection |
rate from the following equation :
where,
iw = water injection rate
ΔP = pressure difference between injector and producer
k = absolute permeability, md
kro = relative permeability of oil at Swi
krw = relative permeability of water at SwBT
ro = outer radius of the oil bank
r = outer radius of the water bank
rw = wellbore radius
The outer radii of the oil and water banks are calculated from the following equations :
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