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Production EngineeringWell Performance

Single-Phase Liquid Flow Through Choke Formula

q=CdA2gcΔPρq=C_dA\sqrt{\frac{2g_c\Delta P}{\rho}}

Single-Phase Liquid Flow Through Choke calculates liquid flow rate for well performance workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (C_d, A_choke, g_c, DeltaP, rho) are known and the assumptions behind the cited well performance 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 equals 0.469563 ft^3/s.

C_ddimensionless

0.8

A_chokeft^2

0.00136353847812057

g_clbm*ft/lbf/s^2

32.17

DeltaPlbf/ft^2

144000

rholbm/ft^3

50

Inputs

C_d

dimensionless

Choke Discharge Coefficient

A_choke

ft^2

Choke Flow Area

g_c

lbm*ft/lbf/s^2

Unit Conversion Factor

DeltaP

lbf/ft^2

Pressure Drop Across Choke

rho

lbm/ft^3

Liquid Density

Outputs

q

ft^3/s

Liquid Flow Rate

DeltaP

lbf/ft^2

Pressure Drop Across Choke

A_choke

ft^2

Choke Flow Area

C_d

dimensionless

Choke Discharge Coefficient

rho

lbm/ft^3

Liquid Density

Source and review

reviewed

Guo, B., Lyons, W.C., and Ghalambor, A. Petroleum Production Engineering: A Computer-Assisted Approach, Page 5.

Source

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