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This is the period from interference until fill up of the pre-existing gas space.
Fill-up is marked by the following four events :
| 1. | No free gas remaining in the flood pattern |
| 2. | Arrival of the oil-bank front to the production well |
| 3. | Flood pattern response to the waterflooding |
| 4. | Oil flow rate equal to the water injection rate |
The performance calculations, for this stage, are given by the following steps:
| 1. | Calculate the cumulative water injected at fill-up by applying the following equation : |
where,
Wif = cumulative water injected at fill-up
PV = total flood pattern pore volume
Sgi = initial gas saturation
| 2. | Calculate the areal sweep efficiency at fill-up by using the following equation : |
| 3. | Using the mobility ratio and the areal sweep efficiency at fill-up, determine the conductance ratio from the following equation : |
where,
a1 to a7 are coefficients based on mobility ratio.
also, for an areal sweep efficiency of 100%, the conductance ratio equals the mobility ratio.
| 4. | For a constant pressure difference, the initial (base) water injection rate is given by the following equation : |
| 5. | Calculate the water injection at fill-up from the following equation : |
| 6. | Calculate the incremental time occurring from interference to fill-up from the following equation : |
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