Production EngineeringWell Performance
ESP Brake Horsepower from TDH and Efficiency Formula
ESP Brake Horsepower from TDH and Efficiency calculates pump brake horsepower for well performance workflows in production engineering.
How engineers use this formula
Use this formula when the listed inputs (Q_gpm, TDH, SG_f, eta_p) 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, BHP equals 208.895915 hp.
Q_gpmgal/min
87.5
TDHft
6170
SG_fdimensionless
0.95
eta_pfraction
0.62
Inputs
Q_gpm
gal/minProduced Liquid Flow Rate
TDH
ftTotal Dynamic Head
SG_f
dimensionlessProduced Fluid Mixture Specific Gravity
eta_p
fractionPump Efficiency
Outputs
BHP
hp
Pump Brake Horsepower
Q_gpm
gal/min
Produced Liquid Flow Rate
TDH
ft
Total Dynamic Head
SG_f
dimensionless
Produced Fluid Mixture Specific Gravity
eta_p
fraction
Pump Efficiency
Source and review
reviewedEngineering ToolBox pump power equation; Petroleum Office ESP horsepower discussion.
SourceRelated formulas and calculators
Effective Wellbore Radius of a Well in Presence of Uniform Flux Fractures
Well Performance
Effective Wellbore Radius of a Horizontal Well – Method 1 (Anisotropic Reservoirs)
Well Performance
Effective Wellbore Radius of a Horizontal Well – van der Vlis et al. Method
Well Performance