C166 – Meter Factor Computation – Master Meter (Mass)

Description

This calculates the K-factor and the meter factor of a mass based meter using a master meter for proving.

References

IP Petroleum Measurement Manual: Part X – Meter Proving

Kelton calculation reference C166

KIMS calculation reference K175

Options

Factor Type

  • K-Factor
  • Meter Factor

This option is chosen to…

Ctsp

  • None
  • User entered
  • Calculated – linear expansion coefficient
  • Calculated – cubic expansion coefficient

Cpsp

  • None
  • User entered
  • Calculated

Ctsm

  • None
  • User entered
  • Calculated – linear expansion coefficient
  • Calculated – cubic expansion coefficient

Cpsm

  • None
  • User entered
  • Calculated

Calculation

Uncorrected K-factor

The uncorrected K-factor is calculated by:

Where
Kp = Master meter K-factor
np = Number of pulses counted by master meter
nm = Number of pulses counted by duty meter

Temperature Correction

The correction factor due to thermal expansion of the steel (Ctsp and Ctsm) is calculated by:

Where
αc = Cubic temperature coefficient
αl = Linear temperature coefficient
T = Temperature
Trf = Reference temperature

Pressure Correction

The correction factor due to pressure on the steel (Cpsp and Cpsm) is calculated by:

λ = Pressure coefficient
P = Pressure
Prf = Reference pressure

K-factor

The K-factor is calculated by:

Where
Ku = Uncorrected K-factor
Ctsp = Correction factor for the thermal expansion of the steel of the master meter
Cpsp = Correction factor for the expansion of the steel of the master meter due to pressure
Ctsm = Correction factor for the thermal expansion of the steel of the meter
Cpsm = Correction factor for the expansion of the steel of the meter due to pressure

Meter Factor

The meter factor is calculated by:

Where
Kf = Meter K-factor
Kb = Base K-factor

 

 

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