Reservoir EngineeringFluid Flow in Porous Media
Radial Pressure Distribution in Single-Phase Liquid Flow Formula
Radial Pressure Distribution in Single-Phase Liquid Flow calculates pressure at radial position for fluid flow in porous media workflows in reservoir engineering.
How engineers use this formula
Use this formula when the listed inputs (p_wf, q_o, mu_o, B_o, r, r_w, k, h) are known and the assumptions behind the cited fluid flow in porous media 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_r equals 2,693.836373 psi.
p_wfpsi
2500
q_oSTB/day
500
mu_ocP
2
B_obbl/STB
1.2
rft
100
r_wft
0.328
kmD
100
hft
50
Inputs
p_wf
psiFlowing Bottom-Hole Pressure
q_o
STB/dayOil Flow Rate
mu_o
cPOil Viscosity
B_o
bbl/STBOil Formation Volume Factor
r
ftRadial Position
r_w
ftWellbore Radius
k
mDPermeability
h
ftNet Pay Thickness
Outputs
p_r
psi
Pressure at Radial Position
Source and review
reviewedAAPG Wiki. Fluid flow fundamentals, radial pressure distribution.
Source