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Single-Phase Gas Flow Subsonic Formula

qsc=1248CdAPuk(k1)γgTu[(PdPu)2/k(PdPu)(k+1)/k]q_{sc}=1248C_dAP_u\sqrt{\frac{k}{(k-1)\gamma_gT_u}\left[\left(\frac{P_d}{P_u}\right)^{2/k}-\left(\frac{P_d}{P_u}\right)^{(k+1)/k}\right]}

Single-Phase Gas Flow Subsonic calculates standard gas 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 (P_d, P_u, k, A_choke, gamma_g, T_u, C_d) 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_sc equals 4,754.62753 Mscf/day.

P_dpsi

700

P_upsi

1000

kdimensionless

1.27

A_chokein^2

0.2

gamma_gair=1

0.65

T_udegR

600

C_ddimensionless

0.85

Inputs

P_d

psi

Downstream Pressure

P_u

psi

Upstream Pressure at Choke

k

dimensionless

Specific Heat Ratio

A_choke

in^2

Choke Cross-Sectional Area

gamma_g

air=1

Gas Specific Gravity

T_u

degR

Upstream Temperature

C_d

dimensionless

Choke Discharge Coefficient

Outputs

q_sc

Mscf/day

Standard Gas Flow Rate

Source and review

reviewed

Guo, B., Lyons, W.C., and Ghalambor, A. Petroleum Production Engineering: A Computer-Assisted Approach, Page 5/61.

Source

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