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 |