Water Injection Bottom-Hole Pressure from Radial Flow Formula
Water Injection Bottom-Hole Pressure from Radial Flow calculates flowing bottom-hole injection pressure for injection wells workflows in production engineering.
How engineers use this formula
Use this formula when the listed inputs (P_e, q_w, mu_w, B_w, r_e, r_w, s, k_rw, k, h) are known and the assumptions behind the cited injection wells 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, P_iwf equals 3,151.649313 psi.
3000
500
0.7
1.02
1000
0.328
1
0.6
100
50
Inputs
P_e
psiExternal Boundary or Reservoir Pressure
q_w
STB/dayWater Injection Rate
mu_w
cPWater Viscosity
B_w
rb/STBWater Formation Volume Factor
r_e
ftDrainage Radius
r_w
ftWellbore Radius
s
dimensionlessSkin Factor
k_rw
fractionRelative Permeability to Water
k
mDAbsolute Permeability
h
ftNet Pay Thickness
Outputs
P_iwf
Flowing Bottom-Hole Injection Pressure
Source and review
reviewedBaker, R.O., Yarranton, H.W. and Jensen, J.L. 2015. Practical Reservoir Engineering and Characterization, radial Darcy field-unit water equation.
Source