The condensate density is required when calculating the total liquid density. The next five steps are required to calculate the condensate density. If the configuration option -

Condensate Stream Density - User Input

is selected this is skipped and the user entered value is used instead.

Symbol | Description | Units |
---|---|---|

Fp_{m} |
Compressibility factor | - |

t_{m} |
Stream temperature | °C |

ρ_{s} |
Condensate standard density | kg/Sm^{3} |

Constant | Value |
---|---|

a | -1.62080 |

b | 0.00021592 |

c | 0.87096 |

d | 0.0042092 |

Symbol | Description | Units |
---|---|---|

C_{plm} |
Condensate pressure correction factor | - |

Fp_{m} |
Compressibility factor | - |

p_{m} |
Stream pressure | bar g |

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Symbol | Description | Units |
---|---|---|

α_{r} |
Coefficient of thermal expansion | - |

ρ_{std} |
Standard condensate density | kg/Sm^{3} |

APIk_{0} |
From calibration certificate | - |

APIk_{1} |
From calibration certificate | - |

APIk_{2} |
From calibration certificate | - |

Symbol | Description | Units |
---|---|---|

C_{tlm} |
Temperature correction factor | - |

α | Coefficient of thermal expansion | - |

t_{m} |
Stream temperature | °C |

t_{s} |
Standard temperature | °C |

Symbol | Description | Units |
---|---|---|

ρ_{m} |
Condensate density | kg/m^{3} |

ρ_{s} |
Condensate standard density | kg/Sm^{3} |

C_{plm} |
Condensate pressure correction factor | - |

C_{tlm} |
Condensate temperature correction factor | - |

Symbol | Description | Units |
---|---|---|

ρ_{m,w} |
Water stream density | kg/m^{3} |

t^{1} |
Gas upstream temperature | °C |

ρ_{s,w} |
Water standard density | kg/Sm^{3} |

t^{s} |
Gas standard temperature | °C |

Constant | Value |
---|---|

D | -0.0001732 |

E | -0.1307 |

F | 1040 |

Symbol | Description | Units |
---|---|---|

ρ_{m,m} |
Methanol stream density | kg/m^{3} |

t^{1} |
Gas upstream temperature | °C |

ρ_{s,m} |
Methanol standard density | kg/Sm^{3} |

t^{s} |
Gas standard temperature | °C |

Constant | Value |
---|---|

G | 7.13E-05 |

H | -0.3344 |

J | 540 |

Symbol | Description | Units |
---|---|---|

φ_{l} |
Liquid to gas mass ratio | - |

φ_{c} |
Operator entered condensate to gas mass ratio | - |

φ_{w} |
Operator entered water to gas mass ratio | - |

φ_{m} |
Operator entered methanol to gas mass ratio | - |

Symbol | Description | Units |
---|---|---|

X_{g} |
Wet gas mass fraction | - |

φ_{l} |
Liquid to gas mass ratio | - |

Symbol | Description | Units |
---|---|---|

X_{g} |
Wet gas mass fraction | - |

X_{c} |
Condensate mass fraction | - |

X_{w} |
Water mass fraction | - |

X_{m} |
Methanol mass fraction | - |

φ_{c} |
Operator entered condensate to gas mass ratio | - |

φ_{w} |
Operator entered water to gas mass ratio | - |

φ_{m} |
Operator entered methanol to gas mass ratio | - |

Symbol | Description | Units |
---|---|---|

ρl | Liquid density | kg/m^{3} |

ρc | Condensate stream density | kg/m^{3} |

ρw | Water stream density | kg/m^{3} |

ρm | Methanol stream density | kg/m^{3} |

φ_{l} |
Liquid to gas mass ratio | - |

φ_{c} |
Operator entered condensate to gas mass ratio | - |

φ_{w} |
Operator entered water to gas mass ratio | - |

φ_{m} |
Operator entered methanol to gas mass ratio | - |

The following calculation is carried out if any correction factor other than the Steven correction factor is selected.

Symbol | Description | Units |
---|---|---|

F_{LM} |
Lockhart-Martinelli factor | - |

X_{g} |
Gas mass fraction | - |

ρg | Gas density | kg/m^{3} |

ρl | Liquid density | kg/m^{3} |

The following calculation is carried out if either the Chisholm or De Leeuw correction factor is selected.

Symbol | Description | Units |
---|---|---|

F_{r} |
Froude Number | - |

g_{v} |
Gas velocity | - |

R_{e} |
Reynolds Number | - |

V | Fluid viscosity | Cp |

D | Corrected pipe diameter | m |

ρg | Gas density | kg/m^{3} |

ρl | Liquid density | kg/m^{3} |

Gravitational Constant | Value |
---|---|

g | 9.80664999999999 |

Symbol | Description | Units |
---|---|---|

F_{adj} |
Murdock correction factor | - |

M | Operator entered Murdock Factor(default = 1.26) | - |

F_{LM} |
Lockhart Martinelli factor | - |

ε | Gas expansion factor | - |

C_{g} |
Gas coefficient of discharge | - |

C_{l} |
Liquid coefficient of discharge | - |

If the Froude Number is below 0.5 the Chisholm correction factor = 1.

Symbol | Description | Units |
---|---|---|

F_{adj} |
Chisholm correction factor | - |

F_{LM} |
Lockhart Martinelli factor | - |

ρ_{l} |
Liquid density | kg/m^{3} |

ρ_{g} |
Gas density | kg/m^{3} |

n | Operator entered Chisholm Factor(default = 0.25) | - |

For Froude Numbers above 1.5:

For Froude Numbers below 1.5:

De Leeuw Correction

Symbol | Description | Units |
---|---|---|

F_{adj} |
De Leeuw correction factor | - |

Fr_{g} |
Froude Number | - |

F_{LM} |
Lockhart Martinelli factor | - |

ρ_{l} |
Liquid density | kg/m^{3} |

ρ_{g} |
Gas density | kg/m^{3} |

n | De Leeuw Factor | - |

Because the corrected mass flow rate is used to calculate the Steven correction factor an iterative method is required. The following calculations iterate up till the previous mass flowrate less than 0.00001 out from the current mass flowrate or a maximum of 100 iterations is reached.

Symbol | Description | Units |
---|---|---|

A | Inlet area of the v-cone meter at operating conditions | m^{2} |

D | Internal pipe diameter at working conditions | m |

Symbol | Description | Units |
---|---|---|

q_{ml} |
Liquid mass flowrate | kg/s |

q_{m} |
Gas corrected mass flowrate | kg/s |

φ_{l} |
Liquid to gas mass ratio | - |

For configuration option: Include Clamping - Yes

If the density ratio is less than 0.027 the ratio is clamped to 0.027

Symbol | Description | Units |
---|---|---|

F_{LM} |
Lockhart-Martinelli factor | - |

q_{ml} |
Liquid mass flowrate | kg/s |

q_{m} |
Gas corrected mass flowrate | kg/s |

ρ_{g} |
Gas density | kg/m^{3} |

ρ_{l} |
Liquid density | kg/m^{3} |

Symbol | Description | Units |
---|---|---|

U_{sg} |
Superficial gas velocity | m/s |

q_{m} |
Uncorrected mass flowrate | kg/s |

ρ_{g} |
Gas density | kg/m^{3} |

A | Inlet area of the v-cone meter at operating conditions | m^{2} |

Symbol | Description | Units |
---|---|---|

F_{r} |
Froude Number | - |

D | Corrected pipe diameter | m |

ρ_{g} |
Gas density | kg/m^{3} |

ρ_{l} |
Liquid density | kg/m^{3} |

U_{sg} |
Superficial gas velocity | - |

Gravitational Constant | Value |
---|---|

g | 9.80664999999999 |

For configuration option: Include Clamping - Yes

If the density ratio is less than 0.027 the ratio is clamped to 0.027

If the entered beta ratio is less than 0.65 the calculation for A

If the entered beta ratio is more than 0.65 the calculation for A

Symbol | Description | Units |
---|---|---|

A_{0.55} |
Correlation factor for a 0.55 Beta V-Cone meter | - |

A_{0.75} |
Correlation factor for a 0.75 Beta V-Cone meter | - |

ρ_{l} |
Liquid density | kg/m^{3} |

ρ_{g} |
Gas density | kg/m^{3} |

For configuration option: Include Clamping - Yes

If the density ratio is less than 0.027 the ratio is clamped to 0.027

If the entered beta ratio is less than 0.65 the calculation for A

If the entered beta ratio is more than 0.65 the calculation for A

Symbol | Description | Units |
---|---|---|

A_{0.55} |
Correlation factor for a 0.55 Beta V-Cone meter | - |

A_{0.75} |
Correlation factor for a 0.75 Beta V-Cone meter | - |

ρ_{l} |
Liquid density | kg/m^{3} |

ρ_{g} |
Gas density | kg/m^{3} |

For configuration option: Include Clamping - Yes

If the density ratio is less than 0.027 the ratio is clamped to 0.027

If the entered beta ratio is less than 0.65 the calculation for A

If the entered beta ratio is more than 0.65 the calculation for A

Symbol | Description | Units |
---|---|---|

A_{0.55} |
Correlation factor for a 0.55 Beta V-Cone meter | - |

A_{0.75} |
Correlation factor for a 0.75 Beta V-Cone meter | - |

ρ_{l} |
Liquid density | kg/m^{3} |

ρ_{g} |
Gas density | kg/m^{3} |

Symbol | Description | Units |
---|---|---|

F_{adj} |
Steven correction factor | - |

F_{LM} |
Lockhart-Martinelli factor | - |

Fr_{g} |
Froude number | - |

A | Wet gas correlation factor | - |

B | Wet gas correlation factor | - |

C | Wet gas correlation factor | - |

Dependant on users selection the wet gas correction factor could be the Steven Correction Factor, the Murdock Correction Factor, the Chisholm Correction Factor or the De Leeuw Correction Factor.

Symbol | Description | Units |
---|---|---|

q_{corr} |
Corrected mass flowrate | kg/s |

q_{ISO} |
Uncorrected mass flowrate | - |

F_{adj} |
Wet gas correction factor | - |

- Chisholm, D., Two phase flow through sharp-edged orifices, research note, J.Mech. Eng. Sci., 1977
- Murdock, J. W., Two phase flow measurement with orifices, J. Basic Eng., December 1962
- Steven, R., A Discussion on Horizontal Wet Gas Differential Pressure Flow Meters., 2007
- De Leeuw, H., Liquid Correction of Venturi Meter Readings in Wet Gas Flow, Paper 21., 1997
- Report on the Development, Construction, Calculation and Preperation of the ASTM-IP Petroleum Measurment Tables (ASTM D1250; IP 200), First Edition 1960 (Reprinted 1962 and 1968)
- API Manual of Petroleum Measurement Standards Chapter 11.2.2M - Compressibility Factors for Hydrocarbons: 350-637 Kilograms per Cubic Meter Density (15°C) and -46°C to 60°C Metering Temperature, 1986
- ASTM-IP-API, Petroleum Measurement Tables for Light Hydrocarbon Liquids, Density Range 0.500 to 0.653 kg/litre at 15°C, 1986