Bournazel Jeanson Vertical Well Water Breakthrough Dimensionless Time Formula
Bournazel Jeanson Vertical Well Water Breakthrough Dimensionless Time calculates dimensionless breakthrough time for well performance workflows in reservoir engineering.
How engineers use this formula
Use this formula when the listed inputs (rho_w, rho_o, g, k_v, t_BT, f_m, mu_o, phi_e, h) are known and the assumptions behind the cited well performance relationship match the engineering case being checked.
Assumptions
- Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
- The declared units match the field-unit constants used in the formula.
- The cited formula applies to the selected petroleum engineering workflow.
Limitations
- The calculation does not replace a full engineering model or operating procedure.
- Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.
Common mistakes
- Mixing unit systems without converting the inputs.
- Using default example values as field recommendations.
- Applying the formula outside the source assumptions.
Default example
Using the default inputs, t_d equals 52,121.88 dimensionless.
1
0.85
32.174
50
3600
1.2
2
0.2
50
Inputs
rho_w
g/ccWater Density
rho_o
g/ccOil Density
g
ft/s^2Gravitational Acceleration
k_v
mDVertical Permeability
t_BT
sWater Breakthrough Time
f_m
dimensionlessMobility Function Ratio
mu_o
cPOil Viscosity
phi_e
fractionEffective Porosity
h
ftOil Column Thickness
Outputs
t_d
Dimensionless Breakthrough Time
t_BT
Water Breakthrough Time
k_v
Vertical Permeability
f_m
Mobility Function Ratio
Source and review
reviewedBournazel, C. and Jeanson, B. 1971. Fast Water-coning Evaluation Method. SPE-AIME, New Orleans, Louisiana.
Source