PetroCalcHubFree
Reservoir EngineeringPressure Transient Analysis

Dimensionless Rate for Radial Flow Constant-Pressure Production Formula

qD=qBμ0.00708kh(pipwf)q_D=\frac{qB\mu}{0.00708kh(p_i-p_{wf})}

Dimensionless Rate for Radial Flow Constant-Pressure Production calculates dimensionless rate for pressure transient analysis workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (q, B, mu, k, h, p_i, p_wf) are known and the assumptions behind the cited pressure transient analysis 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_D equals 0.169492 dimensionless.

qSTB/day

500

BRB/STB

1.2

mucP

2

kmD

50

hft

40

p_ipsi

3000

p_wfpsi

2500

Inputs

q

STB/day

Oil Flow Rate

B

RB/STB

Oil Formation Volume Factor

mu

cP

Oil Viscosity

k

mD

Permeability

h

ft

Reservoir Thickness

p_i

psi

Initial Reservoir Pressure

p_wf

psi

Flowing Bottomhole Pressure

Outputs

q_D

dimensionless

Dimensionless Rate

q

STB/day

Oil Flow Rate

B

RB/STB

Oil Formation Volume Factor

mu

cP

Oil Viscosity

k

mD

Permeability

h

ft

Reservoir Thickness

p_i

psi

Initial Reservoir Pressure

p_wf

psi

Flowing Bottomhole Pressure

Source and review

reviewed

Lee, J., Rollins, J. B., and Spivey, J. P. Pressure Transient Testing, SPE Textbook Series Vol. 9, Page 9.

Source

Related formulas and calculators

Average Permeability for Linear Flow in Layered Beds
Permeability
Average Permeability for Linear Flow - Series Beds
Permeability
Average Permeability for Parallel-Layered Systems
Permeability
Average Permeability in Radial Systems
Permeability
Klinkenberg Apparent Gas Permeability
Permeability
Jones-Owens Klinkenberg Slip Factor
Permeability