Radial Pressure Distribution in Single-Phase Liquid Flow Calculator
Enter the required inputs, confirm the units, and run the calculator to solve p_r. Review the formula source and assumptions before using the result in engineering work.
Calculation context and source notes
Radial Pressure Distribution in Single-Phase Liquid Flow calculates pressure at radial position for fluid flow in porous media workflows in reservoir engineering. The page keeps the declared variables, units, source relationship, and output definition visible for technical review.
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.
Solves for
p_r (psi)
Best next page
Formula, variables, and sourceFormula, variables, and default calculation
Reproducible default result
With the default values shown below, the calculation returns p_r = 2,693.836373 psi. Defaults demonstrate the implementation; they are not recommended field values.
2500
500
2
1.2
100
0.328
100
50
Input definitions
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
Output definitions
p_r
Pressure at Radial Position
Engineering use, assumptions, and limits
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.
Frequently asked questions
What inputs does the Radial Pressure Distribution in Single-Phase Liquid Flow calculator need?
The calculation uses Flowing Bottom-Hole Pressure (p_wf), Oil Flow Rate (q_o), Oil Viscosity (mu_o), Oil Formation Volume Factor (B_o), Radial Position (r), Wellbore Radius (r_w), Permeability (k), Net Pay Thickness (h). Enter values on the units shown beside each field.
What result does this calculator return?
The primary result is pressure at radial position in psi. The formula section shows the declared relationship, variables, and a reproducible default calculation.
What should I check before using the result?
Confirm the unit basis, source applicability, and input quality. The calculation does not replace a full engineering model or operating procedure. Mixing unit systems without converting the inputs.
Source and record status
Source metadata identifies the relationship implemented by the calculator. Check the cited edition, unit basis, and scope against the engineering case before operational use.
AAPG Wiki. Fluid flow fundamentals, radial pressure distribution.
Open source reference