BL103 – Liquid Coriolis (Density based water cut, no prover)
Description
This block can be used to calculate the uncertainty in Mass flow rate (Net oil), Mass flow rate (Water), Standard volume flow rate (Net oil), standard volume flow rate (water).
Options
Calculation
-
- API MPMS Ch11.1 (2004)
- API MPMS Ch11.1 (1980)
- Table 24:1952/API MPMS 11.2.1
- Table 54:1952/API MPMS 11.2.1
- Table 54:1952/IP Paper 2
- IP Paper 2
- GPA TP-25
- GPA TP-27
This option is used to select which reference the uncertainty will be calculated according to.
Density Referral Uncertainty
- API MPMS Ch11.1
- Manual
This option is used to select whether the uncertainty in the temperature and pressure corrections is entered manually or calculated according to the uncertainty guidelines in API MPMS Ch11.1.
Note: if density referral is selected to be entered manually then uncertainty in temperature and pressure correction in oil volume needs to be entered.
Input
Uncertainty in temperature correction on oil volume
Uncertainty in temperature correction on the volume of oil.
Note: this input is only required if Manual is selected from the Density referral Uncertainty.
Uncertainty in temperature correction on oil volume
Uncertainty in pressure correction on the volume of oil.
Note: this input is only required if Manual is selected from the Density referral Uncertainty.
API MPMS Ch11.1 (2004)
Commodity Group
- Crude Oil
- Fuel Oils
- Jet Fuels
- Transition Zone
- Gasolines
- Lubricating Oil
- User Entered
This option is used to select the appropriate commodity group for API MPMS Ch 11.1 (2004). Consult the standard to choose representative commodity. If user entered is selected then a thermal expansion coefficient will need to be entered.
Standard Temperature
- 15°C
- 20°C
- 60°F
Note: only when the API MPMS Ch11.1 (2004) and GPA TP-27 standards are selected from the reference option is 20°C a selectable option.
Water density
- Wagenbreth and Blanke
- Patterson and Morris
If Patterson and Morris is selected then the water choice selection needs to be identified
- Air free Water
- Air Saturated Water
Input
Equilibrium pressure
Equilibrium pressure of fluid.
Oil standard density
The standard density of oil.
Uncertainty in oil standard density
The uncertainty of the standard density of oil.
Water standard density
The standard density of water.
Uncertainty in water standard density
The uncertainty of the standard density of water
Thermal expansion coefficient
Thermal expansion coefficient of fluid.
Note: defaulted at 0.001669 /K
API MPMS Ch11.1 (1980)
Product Group
- Crude Oil
- Gasolines and Naphthenes
- Jets and Naphthenes
- Jet Fuels, Kerosenes and Solvents
- Diesel and Heating Oil
- Lubricating Oil
- Other
Note: Consult the standard to choose representative product. If other is selected then K0, K1 and K2 values will have to be entered for the product.
Standard Temperature
- 15°C
- 60°F
Note: only the more recent standards have 20°C as a selectable option.
Vapour Pressure
- Include
OR
- Don’t include
If include is selected this will allow the user to enter the value for the vapour pressure; otherwise, it will be set equal to standard atmospheric pressure (1.01325 bar).
Precision
- Full
- Rounding
This option is used to select whether calculations will be carried out with full precision or whether intermediate values are rounded or truncated according to the algorithms laid out in the standard.
Water density
- Wagenbreth and Blanke
- Patterson and Morris
If Patterson and Morris is selected then the water choice selection needs to be identified
- Air free Water
- Air Saturated Water
Inputs
Equilibrium pressure
Equilibrium pressure of fluid.
Oil standard density
The standard density of oil.
Uncertainty in oil standard density
The uncertainty of the standard density of oil.
Water standard density
The standard density of water.
Uncertainty in water standard density
The uncertainty of the standard density of water
K0
Correlation coefficient for thermal expansion factor. Note this input is only required if Other is selected from the Product Group option.
K1
Correlation coefficient for thermal expansion factor. Note this input is only required if Other is selected from the Product Group option.
K2
Correlation coefficient for thermal expansion factor. Note this input is only required if Other is selected from the Product Group option.
Table 24:1952/API MPMS 11.2.1
Vapour Pressure
- Include
OR
- Don’t include
If include is selected this will allow the user to enter the value for the vapour pressure; otherwise, it will be set equal to standard atmospheric pressure (1.01325 bar).
Precision
- Full
- Rounding
This option is used to select whether calculations will be carried out with full precision or whether intermediate values are rounded or truncated according to the algorithms laid out in the standard.
Water density
- Wagenbreth and Blanke
- Patterson and Morris
Water choice
If Patterson and Morris is selected then the water choice selection needs to be identified
- Air free Water
- Air Saturated Water
Inputs
Equilibrium pressure
Equilibrium pressure of fluid.
Oil standard density
The standard density of oil.
Uncertainty in oil standard density
The uncertainty of the standard density of oil.
Water standard density
The standard density of water.
Uncertainty in water standard density
The uncertainty of the standard density of water
Table 54:1952/API MPMS 11.2.1
Vapour Pressure
- Include
OR
- Don’t include
If include is selected this will allow the user to enter the value for the vapour pressure; otherwise, it will be set equal to standard atmospheric pressure (1.01325 bar).
Precision
- Full
- Rounding
This option is used to select whether calculations will be carried out with full precision or whether intermediate values are rounded or truncated according to the algorithms laid out in the standard.
Water density
- Wagenbreth and Blanke
- Patterson and Morris
If Patterson and Morris is selected then the water choice selection needs to be identified
- Air free Water
- Air Saturated Water
Inputs
Equilibrium pressure
Equilibrium pressure of fluid.
Oil standard density
The standard density of oil.
Uncertainty in oil standard density
The uncertainty of the standard density of oil.
Water standard density
The standard density of water.
Uncertainty in water standard density
The uncertainty of the standard density of water
Table 54:1952/IP Paper 2
Product Group
- Crude Oil
- Gasolines and Naphthenes
- Jets and Naphthenes
- Jet Fuels, Kerosenes and Solvents
- Diesel and Heating Oil
- Lubricating Oil
- Other
Note: Consult the standard to choose representative product. If other is selected then K0, K1 and K2 values will have to be entered for the product.
Standard Temperature
- 15°C
- 60°F
Vapour Pressure
- Include
OR
- Don’t include
If include is selected this will allow the user to enter the value for the vapour pressure; otherwise, it will be set equal to standard atmospheric pressure (1.01325 bar).
Precision
- Full
- Rounding
This option is used to select whether calculations will be carried out with full precision or whether intermediate values are rounded or truncated according to the algorithms laid out in the standard.
Water density
- Wagenbreth and Blanke
- Patterson and Morris
If Patterson and Morris is selected then the water choice selection needs to be identified
- Air free Water
- Air Saturated Water
Inputs
Equilibrium pressure
Equilibrium pressure of fluid.
Oil standard density
The standard density of oil.
Uncertainty in oil standard density
The uncertainty of the standard density of oil.
Water standard density
The standard density of water.
Uncertainty in water standard density
The uncertainty of the standard density of water
IP Paper 2
Precision
- Full
- Rounding
This option is used to select whether calculations will be carried out with full precision or whether intermediate values are rounded or truncated according to the algorithms laid out in the standard.
Water density
- Wagenbreth and Blanke
- Patterson and Morris
If Patterson and Morris is selected then the water choice selection needs to be identified
- Air free Water
- Air Saturated Water
Inputs
Oil standard density
The standard density of oil.
Uncertainty in oil standard density
The uncertainty of the standard density of oil.
Water standard density
The standard density of water.
Uncertainty in water standard density
The uncertainty of the standard density of water
GPA TP-25
Water density
- Wagenbreth and Blanke
- Patterson and Morris
If Patterson and Morris is selected then the water choice selection needs to be identified
- Air free Water
- Air Saturated Water
Inputs
Oil standard density
The standard density of oil.
Uncertainty in oil standard density
The uncertainty of the standard density of oil.
Water standard density
The standard density of water.
Uncertainty in water standard density
The uncertainty of the standard density of water
GPA TP-27
Standard Temperature
- 15°C
- 20°C
- 60°F
Note: only when the API MPMS Ch11.1 (2004) and GPA TP-27 standards are selected from the reference option is 20°C a selectable option.
Vapour Pressure
- User entered
OR
- Calculated using TP-15
Select if user wants to enter the value for the vapour pressure or calculated using the Vapor Pressure Correlation for Commercial NGL’s.
Precision
- Full
- Rounding
This option is used to select whether calculations will be carried out with full precision or whether intermediate values are rounded or truncated according to the algorithms laid out in the standard.
Water density
- Wagenbreth and Blanke
- Patterson and Morris
If Patterson and Morris is selected then the water choice selection needs to be identified
- Air free Water
- Air Saturated Water
Inputs
Equilibrium pressure
Equilibrium pressure of fluid.
Oil standard density
The standard density of oil. Uncertainty in oil standard density
The uncertainty of the standard density of oil.
Water standard density
The standard density of water.
Uncertainty in water standard density
The uncertainty of the standard density of water
Calculations
The mass flow rate and standard density of oil and water are calculated according to the procedure selected from the Calculation option.
Uncertainty Budget
The uncertainty calculation is detailed in the uncertainty budget tables for mass flow rate and standard volume flow rate for both oil and water giving a break down of how the overall uncertainty is calculated for that parameter.
Uncertainties associated with these values are taken in as the Expanded Uncertainties. The Standard Uncertainty is calculated from dividing the Expanded Uncertainty by the coverage factor which is determined by the probability distribution that best suits that uncertainty component.
The Standard Uncertainty is then multiplied by the sensitivity value then squared. This is done for each parameter that contributes to the overall uncertainty in mass flow rate and standard volume flow rate. The Standard Uncertainty in the mass flow rate and standard volume flow rate is the square root of the sum of each component variance as shown in the following equation:
Calculated Uncertainty
The Expanded Uncertainty is the Standard Uncertainty multiplied by the coverage factor (k). The coverage factor is defaulted to k = 2 (equivalent to a confidence level of approximately 95%). The Relative Uncertainty is the Expanded Uncertainty divided by Mass flow rate or standard volume flowrate depending of the parameter.
References
Standards
ISO 5168:2005 – Measurement of fluid flow – Procedures for the evaluation of uncertainties
ISO Guide 98-3 – Uncertainty of measurement – Part 3: Guide to the expression of uncertainty in measurement (GUM:1995) (2008)
API MPMS Chapter 11.1 – Volume correction factors Volume 10 – Background, Development and Program Documentation: API Standard 2540 (1980)
API MPMS Chapter 11.2.1M – Compressibility Factors for Hydrocarbons: 638-1074 Kilograms per Cubic Metre Range (1984)
API MPMS Chapter 11.2.2M – Compressibility Factors for Hydrocarbons: 350-637 Kilograms per Cubic Metre Density (15°C) and -46°C to 60°’b0C Metering Temperature (1986)
API MPMS Chapter 11.1 – Temperature and Pressure Volume Correction Factors for Generalized Crude Oils, Refined Products, and Lubricating Oils (ASTM D 1250-04; IP 200/04) (1st edition 2004, Addendum 1 2007)
Institute of Petroleum, Petroleum Measurement Paper No. 2; Guidelines for users of the petroleum measurement tables (API Std 2540; IP 200; ANSI/ASTM D 1250) (1984)
ASTM-IP Petroleum Measurement Tables, Metric Edition, (ASTM D 1250; IP 200) (1952)
Report on the Development, Construction, Calculation and Preparation of the ASTM-IP Petroleum Measurement Tables (ASTM D 1250; IP 200) (1960)
GPA Technical Publication TP-25, API MPMS 11.2.4 – Temperature Correction for the Volume of Light Hydrocarbons Tables 23E and 24E (1998)
GPA Technical Publication TP-27, API MPMS 11.2.4 – Temperature Correction for the Volume of NGL and LPG Tables 23E, 24E, 53E, 54E 59E and 60E (2007)
API MPMS 11.2.5/GPA Technical Publication TP-15 – A Simplified Vapor Pressure Correlation for Commercial NGLs (2007)