Sobocinski Cornelius Vertical Well Cone Height Ratio Formula
Sobocinski Cornelius Vertical Well Cone Height Ratio calculates dimensionless cone height ratio for well performance workflows in reservoir engineering.
How engineers use this formula
Use this formula when the listed inputs (rho_w, rho_o, k_h, h, h_t, mu_o, q_o, B_o) 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, Z equals 0.019188 dimensionless.
1
0.85
100
50
10
2
500
1.2
Inputs
rho_w
g/ccWater Density
rho_o
g/ccOil Density
k_h
mDHorizontal Permeability
h
ftOil Column Thickness
h_t
ftHeight of Water Cone Apex above Average Water-Oil Contact
mu_o
cPOil Viscosity
q_o
STB/dayOil Production Rate
B_o
RB/STBOil Formation Volume Factor
Outputs
Z
Dimensionless Cone Height Ratio
h_t
Height of Water Cone Apex above Average Water-Oil Contact
q_o
Oil Production Rate
k_h
Horizontal Permeability
Source and review
reviewedSobocinski, D.P. and Cornelius, A.J. 1965. A Correlation for Predicting Water Coning Time. SPE ATCE, Houston, Texas.
Source