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Multiphase Wellhead Pressure Across Choke Formula

Pwh=CRmqLSnP_{wh}=C R^m\frac{q_L}{S^n}

Multiphase Wellhead Pressure Across Choke calculates upstream wellhead pressure for well performance workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (C_choke, R, m, q_L, S, n) 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, P_wh equals 239.207983 psi.

C_chokedimensionless

10

Rscf/bbl

600

mdimensionless

0.5

q_Lbbl/day

500

S1/64 in

32

ndimensionless

1.8

Inputs

C_choke

dimensionless

Empirical Choke Constant

R

scf/bbl

Producing Gas-Liquid Ratio

m

dimensionless

Gas-Liquid Ratio Exponent

q_L

bbl/day

Gross Liquid Rate

S

1/64 in

Choke Size

n

dimensionless

Choke Size Exponent

Outputs

P_wh

psi

Upstream Wellhead Pressure

q_L

bbl/day

Gross Liquid Rate

S

1/64 in

Choke Size

R

scf/bbl

Producing Gas-Liquid Ratio

C_choke

dimensionless

Empirical Choke Constant

Source and review

reviewed

Guo, B., Lyons, W.C., and Ghalambor, A. Petroleum Production Engineering: A Computer-Assisted Approach, Page 5/64.

Source

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