# C109 – Pulse Output Meter Calibration

## Description

This calculation can be set to solve the K-factor, meter factor, corrected prover volume and the required pulses.

## References

Institute of Petroleum – Petroleum Measurement Manual: Part X – Meter Proving

Kelton calculation reference C109

KIMS calculation reference K136

## Options

### Calculate

- Meter K-factor
- Meter factor
- Corrected volume
- Required pulses

This option group is used to select the value(s) for the calculation to solve.

The remaining option logic is the same as for C108 when “Pipe prover” is selected.

## Calculation

### Ctsp

The C_{tsp} is calculated by:

Where | ||
---|---|---|

α_{c} |
= | Cubic temperature coefficient |

α_{l} |
= | Linear temperature coefficient |

T_{p} |
= | Prover temperature |

T_{rf} |
= | Prover reference temperature |

### Cpsp

The C_{psp} is calculated by:

Where | ||
---|---|---|

λ | = | Pressure coefficient |

P_{p} |
= | Prover pressure |

P_{rf} |
= | Prover reference pressure |

### K-factor

The K-factor is calculated by:

Where | ||
---|---|---|

K_{f0} |
= | Uncorrected K-factor |

C_{tlm} |
= | Correction for temperature of the liquid at the meter |

C_{plm} |
= | Correction for pressure of the liquid at the meter |

C_{tlp} |
= | Correction for temperature of the liquid at the prover |

C_{plp} |
= | Correction for pressure of the liquid at the prover |

C_{tsp} |
= | Correction for temperature on steel of the prover |

C_{psp} |
= | Correction for pressure on steel of the prover |

IntF | = | Interpolation factor |

### Meter Factor

The meter factor is calculated by:

Where | ||
---|---|---|

K_{b} |
= | Base K-factor |

K_{f} |
= | K-factor |

### Corrected volume

The corrected prover volume is calculated by:

Where | ||
---|---|---|

V_{b} |
= | Base prover volume |

### Required pulses

The number of required pulses is calculated by:

Where | ||
---|---|---|

n_{m} |
= | Number of pulses |