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Density of Brine (Completion and Workover Fluids) Formula

ρs=ρm[1+Cte(TmTs)]\rho_s=\rho_m\left[1+C_{te}(T_m-T_s)\right]

Density of Brine (Completion and Workover Fluids) calculates brine density at standard reference temperature for well performance workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (rho_m, C_te, T_m, T_s) 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, rho_s equals 10.5525 lbm/gal.

rho_mlbm/gal

10.5

C_te1/deg F

0.00025

T_mdeg F

90

T_sdeg F

70

Inputs

rho_m

lbm/gal

Measured Brine Density at Ambient Conditions

C_te

1/deg F

Coefficient of Thermal Expansion

T_m

deg F

Ambient Brine Measurement Temperature

T_s

deg F

Standard Reference Temperature

Outputs

rho_s

lbm/gal

Brine Density at Standard Reference Temperature

rho_m

lbm/gal

Measured Brine Density at Ambient Conditions

C_te

1/deg F

Coefficient of Thermal Expansion

T_m

deg F

Ambient Brine Measurement Temperature

T_s

deg F

Standard Reference Temperature

Source and review

reviewed

Bridges, K.L. 2000. Completion and Workover Fluids, Vol. 19, Society of Petroleum Engineers, Page 45.

Source

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