This Excel spreadsheet uses the Sobocinski-Cornelius method to calculate the water breakthrough time. This method was published in 1965, and was derivied from laboratory tests. It uses these equations.
where
- Bo is the oil formation volume factor
- μo is the oil viscosity (cp)
- μw is the water viscosity (cp)
- φ is the porosity
- h is the oil column thickness (ft)
- hp is the perforated interval (ft)
- Qo is the oil production rate (STB day-1)
- α is 0.5 if M <=1, or 0.6 otherwise
- M is the water-oil mobility ratio
- tBT is the time to breakthrough
- tD is the dimensionless time (Sobocinski-Cornelius method)
- Z is the dimensionless cone height
- ρw is the water viscosity (lb ft-3)
- ρo is the oil density (lb ft-3)
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