Reservoir EngineeringFluid Flow in Porous Media
Pseudosteady-State Radial Oil Flow Rate Formula
Pseudosteady-State Radial Oil Flow Rate calculates oil flow rate for fluid flow in porous media workflows in reservoir engineering.
How engineers use this formula
Use this formula when the listed inputs (k, h, p_R, p_wf, mu_o, B_o, r_e, r_w, s) 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, q_o equals 795.604757 STB/day.
kmD
100
hft
50
p_Rpsi
3000
p_wfpsi
2500
mu_ocP
2
B_obbl/STB
1.2
r_eft
1000
r_wft
0.328
sdimensionless
2
Inputs
k
mDPermeability
h
ftNet Pay Thickness
p_R
psiAverage Reservoir Pressure
p_wf
psiFlowing Bottom-Hole Pressure
mu_o
cPOil Viscosity
B_o
bbl/STBOil Formation Volume Factor
r_e
ftDrainage Radius
r_w
ftWellbore Radius
s
dimensionlessSkin Factor
Outputs
q_o
STB/day
Oil Flow Rate
Source and review
reviewedAAPG Wiki. Fluid flow fundamentals, theoretical pressure-rate relationship.
Source