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Production EngineeringWell Performance

Choke Discharge Coefficient Formula

Cd=dcd+0.3167(dc/d)0.6+0.025(log10NR4)C_d=\frac{d_c}{d}+\frac{0.3167}{(d_c/d)^{0.6}}+0.025\left(\log_{10}N_R-4\right)

Choke Discharge Coefficient calculates choke discharge coefficient for well performance workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (d, d_c, N_R) 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, C_d equals 0.977586 dimensionless.

din

4

d_cin

1

N_Rdimensionless

10000

Inputs

d

in

Upstream Pipe Diameter

d_c

in

Choke Diameter

N_R

dimensionless

Reynolds Number Based on Choke Diameter

Outputs

C_d

dimensionless

Choke Discharge Coefficient

N_R

dimensionless

Reynolds Number Based on Choke Diameter

Source and review

reviewed

Guo, B., Lyons, W.C., and Ghalambor, A. 2007. Petroleum Production Engineering: A Computer-Assisted Approach, Page 5/60.

Source

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