Ch 12 4 1 BalDraft - American Petroleum...

Chapter 12.4.1 – Waterdraw Volumetric Method This document is not an API Standard; it is under consideration within an API technical committee but has not received all approvals required to become an API Standard. It shall not be reproduced or circulated or quoted, in whole or in part, outside of API committee activities except with the approval of the Chairman of the committee having jurisdiction and API staff. Copyright API. All rights reserved.

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MANUAL OF PETROLEUM MEASUREMENT STANDARDS CHAPTER 12 - CALCULATION OF PETROLEUM QUANTITIES Section 4 - Base Prover Volume Determination Part 1 - Waterdraw Volumetric Method Ballot draft Oct 2019


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Foreword This document supersedes API Manual of Petroleum Measurement Standards (MPMS) Chapter 12.2.4, 1st Edition, which is withdrawn.


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TABLE OF CONTENTS

1. SCOPE ............................................................................................................................................................... 6

2. APPLICATION .................................................................................................................................................... 6

APPLICABLE LIQUIDS ....................................................................................................................................................... 6 BASE CONDITIONS .......................................................................................................................................................... 7

3. NORMATIVE REFERENCES ................................................................................................................................. 7

4. TERMS AND DEFINITIONS .................................................................................................................................. 7

5. SYMBOLS AND ABBREVIATIONS ...................................................................................................................... 10

UNITS ........................................................................................................................................................................ 10 PIPE DIMENSIONS ......................................................................................................................................................... 10 STEEL PROPERTIES ........................................................................................................................................................ 10 WATER PROPERTIES ...................................................................................................................................................... 10 TEMPERATURE ............................................................................................................................................................. 11 PRESSURE ................................................................................................................................................................... 11 FLOWRATE .................................................................................................................................................................. 11 CORRECTION FACTORS .................................................................................................................................................. 12 VOLUMES ................................................................................................................................................................... 12 OTHER SYMBOLS .......................................................................................................................................................... 14

6. CALIBRATION REQUIREMENTS ........................................................................................................................ 14

DISPLACEMENT PROVERS ‐ UNIDIRECTIONAL DESIGN ........................................................................................................... 15 DISPLACEMENT PROVERS ‐ BIDIRECTIONAL DESIGN ............................................................................................................. 15 OPEN TANK PROVERS .................................................................................................................................................... 15 RANGE (‘OUT’ R%, ‘BACK’ R%, ‘TRIP’ R %, AND ‘QAV’ R %) .............................................................................................. 16 DISPLACEMENT PROVER WEAR – ΔBPV, ΔBPV% .............................................................................................................. 16 VERIFICATION TOLERANCE FOR OPEN TANK PROVER ‐ ΔV, ΔV% ........................................................................................... 17

7. CORRECTION FACTORS .................................................................................................................................... 17

WATER DENSITY (RHOWT) ........................................................................................................................................... 18 WATER DENSITY IN TEST MEASURE AT PB (RHOWTM) ....................................................................................................... 18

Water Density in Prover at Pb (RHOWp) ............................................................................................................ 20 Compressibility Factor of Water (F) .................................................................................................................... 20 Correction for Pressure on Water (CPL) .............................................................................................................. 21 Correction for Pressure on Water in Test Measure (CPLtm) ............................................................................... 21 Correction for Pressure on Water in Open Tank Prover (CPLp) .......................................................................... 21 Correction for Pressure on Water in Displacement Prover (CPLp) ...................................................................... 21 Uncertainty of Patterson‐Morris and Tanaka Water Density Correlations ........................................................ 22

CORRECTION FOR TEMPERATURE ON STEEL CONTAINER (CTS) .............................................................................................. 23 Correction for Temperature on Test Measure (CTStm) ...................................................................................... 23


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Correction for Temperature on Displacement Prover with Integrally Mounted Detectors or an Open Tank Prover (CTSp) ...................................................................................................................................................... 24 Correction for Temperature on Displacement Prover with Externally Mounted Detectors (CTSp) .................... 24

CORRECTION FOR PRESSURE ON STEEL CONTAINER (CPS) .................................................................................................... 24 Correction for Pressure on Field Standard Test Measure (CPStm), Open Tank Prover (CPSp), and Double‐Walled Displacement Prover (CPSp) ................................................................................................................... 25 Correction for Pressure on Single‐Walled Displacement Prover (CPSp) ............................................................. 25

8. VOLUME, MASS, AND RANGE EQUATIONS ....................................................................................................... 25

TEST MEASURE ‘FILL’ .................................................................................................................................................... 26 MASS FOR A PASS (MPASS) ............................................................................................................................................ 27 CALIBRATED PROVER VOLUME FOR A PASS (CPVUSC_PASS, CPVSI_PASS) .............................................................................. 27 CALIBRATED PROVER VOLUME FOR A SINGLE ROUNDTRIP (CPVUSC_TRIP, CPVSI_TRIP) ............................................................ 28 AVERAGE CALIBRATED PROVER VOLUMES (AVG CPVOUT, AVG CPVBACK, AVG CPVTRIP)......................................................... 28 RANGE EQUATIONS ‐ ‘OUT’, ‘BACK’, ‘ROUNDTRIP’ AND ‘QAV’ ............................................................................................. 29 NEW BASE PROVER VOLUME (BPVNEW) .......................................................................................................................... 29 CONVERTING CPV AND BPV TO OTHER BASE CONDITIONS .................................................................................................. 30

Converting CPVusc and BPVusc to CPVsi and BPVsi ........................................................................................... 30 Converting CPVsi and BPVsi to CPVusc and BPVusc ........................................................................................... 32

9. PRECISION, ROUNDING, DISCRIMINATION AND REPORTING LEVELS ................................................................ 33

PRECISION ................................................................................................................................................................... 33 ROUNDING .................................................................................................................................................................. 33 DISCRIMINATION AND REPORTING LEVELS ......................................................................................................................... 33

Pipe Dimensions ................................................................................................................................................. 34 Temperature....................................................................................................................................................... 34 Pressure .............................................................................................................................................................. 35 Flowrate ............................................................................................................................................................. 35 Test Measure ...................................................................................................................................................... 35 Compressibility Factor ........................................................................................................................................ 35 Water Density .................................................................................................................................................... 35 Coefficient of Thermal Expansion ....................................................................................................................... 35 Modulus of Elasticity .......................................................................................................................................... 35 Correction Factors .............................................................................................................................................. 35 Mass and Volume ............................................................................................................................................... 35 BPV Volumes ...................................................................................................................................................... 36 Table 1 ‐ Pipe Dimensions .................................................................................................................................. 36 Table 2 ‐ Flowrate .............................................................................................................................................. 37 Table 3 ‐ Temperature ........................................................................................................................................ 37 Table 4 ‐ Pressure ............................................................................................................................................... 38 Table 5 ‐ Test Measures ..................................................................................................................................... 38 Table 6 ‐ Water Compressibility Factor .............................................................................................................. 38 Table 7 ‐ Water Density ...................................................................................................................................... 38 Table 8 ‐ Coefficient of Thermal Expansion ........................................................................................................ 39 Table 9 ‐ Modulus of Elasticity ........................................................................................................................... 39 Table 10 ‐ Correction Factors ............................................................................................................................. 40 Table 11 ‐ Mass and Volume .............................................................................................................................. 40


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Table 12 ‐ BPV Volumes ...................................................................................................................................... 41 Table 13 ‐ Unit Conversion ................................................................................................................................. 41

10. TYPICAL STEEL PROPERTIES ............................................................................................................................. 42

Table 14 ‐ Typical Steels’ Modulus of Elasticity .................................................................................................. 42 Table 15 ‐ Typical Steels’ Coefficient of Thermal Expansion) ............................................................................. 43

11. PROCESS MAPS – BASE PROVER VOLUME CALCULATIONS ............................................................................... 43

SI PROCESS MAP ‐ WATERDRAW VOLUMETRIC METHOD FOR DISPLACEMENT PROVER .............................................................. 44 USC PROCESS MAP ‐ WATERDRAW VOLUMETRIC METHOD FOR DISPLACEMENT PROVER .......................................................... 53 SI PROCESS MAP ‐ WATERDRAW VOLUMETRIC METHOD FOR OPEN TANK PROVER .................................................................. 61 USC PROCESS MAP ‐ WATERDRAW VOLUMETRIC METHOD FOR OPEN TANK PROVER ............................................................... 67 70

APPENDIX A ‐ BPV SI UNIT EXAMPLES .................................................................................................................... 73

A‐1 UNIDIRECTIONAL DISPLACEMENT PROVER ‐ INTEGRAL DETECTOR DESIGN ..................................................................... 74 A‐2 BIDIRECTIONAL DISPLACEMENT PROVER ‐ INTEGRAL DETECTOR DESIGN ....................................................................... 82 A‐3 UNIDIRECTIONAL DISPLACEMENT PROVER ‐ EXTERNAL DETECTOR DESIGN .................................................................... 91 A‐4 OPEN TANK PROVER ........................................................................................................................................ 100

APPENDIX B ‐ BPV USC UNIT EXAMPLES ............................................................................................................... 105

B‐1 UNIDIRECTIONAL DISPLACEMENT PROVER ‐ INTEGRAL DETECTOR DESIGN ................................................................... 106 B‐2 BIDIRECTIONAL DISPLACEMENT PROVER ‐ INTEGRAL DETECTOR DESIGN ..................................................................... 115 B‐3 UNIDIRECTIONAL DISPLACEMENT PROVER ‐ EXTERNAL DETECTOR DESIGN .................................................................. 124 B‐4 OPEN TANK PROVER ........................................................................................................................................ 132


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CHAPTER 12 - CALCULATION OF PETROLEUM QUANTITIES SECTION 4 - BASE PROVER VOLUME DETERMINATION PART 1 - WATERDRAW VOLUMETRIC METHOD

1. Scope

1.1. General

The purpose of standardizing calculations is to produce the same unbiased answer, from the same measurement data, regardless of whom or what does the computing.

This document provides a standardized calculation method and procedure for the determination of a base prover volume using the waterdraw volumetric method under defined conditions, regardless of the point of origin, destination, or units of measure, required by governmental organizations. The criterion contained in this document allows different users on different computing devices, to arrive at identical results using the same standardized input data.

This document rigorously specifies the equations, rules for rounding, the sequence of the calculations, and the discrimination levels of all numbers to be used in these calculations. No deviations from this document are permitted since the intent is to serve as a rigorous standard.

2. Application

2.1.1. Methods

The Base Prover Volume (BPV) of a prover (displacement or open tank) may be determined by one of three methods - waterdraw, master meter or gravimetric.

The operational procedures and acceptance criteria employed to calibrate a prover by the waterdraw method are specified in API MPMS Chapter 4.9.2 - Determination of the Volume of Displacement and Tank Provers by the Waterdraw Method of Calibration.

2.1.2. Applicable Liquids

The application of this standard shall be limited to potable water, which is assumed to be clean, air/gas free, and to properly implement the procedures to correct measured volumes at flowing temperatures and pressures to corresponding volumes at base (reference or standard) conditions. To accomplish this, the density correlations for water specified in API MPMS Chapter 11.4.1 - Water Density are


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contained in this document.

2.1.3. Base Conditions

Historically, the measurement of some liquids for custody transfer and process control, have been stated in volume units at base (reference or standard) conditions.

The base conditions for the measurement of liquids, such as crude petroleum and its liquid products, having a vapor pressure equal to or less than atmospheric pressure at the base temperature are -

International System (SI) Units Pressure - 101.325 kPa (14.696 psia) Temperature - 15.00 ºC (59.0 ºF)

United States Customary (USC) Units

Pressure - 14.696 psia (101.325 kPa) Temperature - 60.0 ºF (15.556 ºC)

Base conditions may change based on contract and from one country to the next. Therefore, it is necessary that the base conditions be identified and specified in all standardized volumetric flow measurements by all the parties involved in the measurement.

3. Normative References

The following documents are referred to in the text in such a way that some or all of their content constitutes requirements of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any addenda) applies.

3.1. American Petroleum Institute (API1) Manual of Petroleum Measurement Standards (MPMS) Chapter 4.9.2 - Determination of the Volume of Displacement and Tank Provers by the

Waterdraw Method of Calibration Chapter 11.4.1 - Density of Water Chapter 15 - Guidelines for the Use of the International System of Units (SI) in the

Petroleum and Allied Industries

4. Terms and Definitions

For the purposes of this document the following terms and definitions apply. Terms of more general use may be found in API MPMS Terms and Definitions Database.

4.1. barrel

A unit of volume of petroleum equal to 9,702.0 cubic inches or 42.0 US gallons.


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4.2. base conditions

Reference pressure and temperature conditions, as defined by standard, regulation, or contract, used in custody transfer measurement calculations of fluid volumes and other calculations.

4.3. base prover volume (BPV)

The volume of the prover at base conditions as shown on the calibration certificate.

4.4. calibrated prover volume (CPV)

The volume of the prover at base conditions as determined from a calibration pass or run(s) by the waterdraw method or from one prover calibration run set by the master meter method.

4.5. calibration certificate

A report documenting the calibration of a measurement device such as a meter prover, a thermometer or pressure gauge and its traceability to a national metrological institute (e.g., National Institute of Standards and Technology).

4.6. certified temperature or pressure device

A temperature or pressure measurement device documented to have been calibrated over the operating range against an appropriate standard traceable to primary standards maintained by an internationally recognized standards organization such as the National Institute of Standards and Technology.

4.7. correction for temperature of steel (CTS)

Correction for changes in length, area or volume of a steel prover, tank, tank car or other vessel, due to changes in the steel temperature between its reference temperature and its operating temperature.

4.8. correction for pressure on steel (CPS)

Correction for changes in volume of a steel prover, tank, tank car or other vessel, due to changes in the internal pressure between its reference pressure and its operating pressure.

4.9. correction for pressure on liquid (CPL)

Correction for changes in the density of a liquid, due to the difference between its reference pressure and its operating pressure.

4.10. field standard test measure

A volumetric, non-pressurized, cylindrical, metal container, with a cylindrical neck containing a gauge glass and scale. Designed to stringent specifications, it “contains” or “delivers” an exact volume between a fixed bottom or a bottom shut-off valve and an upper neck scale reading."Flowrate (Qav)

The rate of flow for each calibration ‘pass’.

4.11. gauge pressure

Pressure measured relative to atmospheric pressure with one atmosphere taken as zero.

4.12. low vapor pressure liquid

A liquid that at operating conditions has a vapor pressure less than or equal to atmospheric pressure.

4.13. NIST traceability


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Property of a measurement result whereby the result can be traced back to NIST by an unbroken chain of calibrations.

4.14. pass

A single movement of the displacer, in a displacement prover, that activates the start-stop detectors.

4.15. primary standard

A measurement standard whose value is determined by NIST or appropriate National Metrological Institute.

4.16. prover calibration certificate

A document package stating the Base Prover Volume (BPV) which includes the run data used to calculate the BPV, and the traceability documentation.

4.17. prover with integral detectors

Free displacer prover designs, both unidirectional and bidirectional applications, employ a sphere or piston displacer in a circular conduit or pipe. The detectors are integral to the pipe. In other words, the detectors are mounted directly to the pipe through which the free displacer passes.

4.18. prover with external detectors

Captive displacer prover designs employ a piston attached to a shaft. The displacement of the shaft is constant except that it moves into and out of the calibrated section during a calibration run. Usually, there is one or two externally mounted detectors and/or guide rods attached to the captive piston displacer. Since provers have externally mounted detectors, the thermal effect on the steel may not be the same for the area aspect as for the linear aspect. In terms of a prover calibration, as well as a flowmeter calibration, it is necessary to obtain both a prover barrel temperature and a detector shaft temperature.

4.19. reference conditions

The base conditions of temperature and pressure (e.g., 60.0 °F and 0 psig, 60.0 °F and equilibrium vapor pressure, 15.00 °C and 101.325 kPa, or 15.00 °C and equilibrium vapor pressure) to which measured volumes are to be corrected.

4.20. reference pressure (Pb)

The base conditions of pressure (e.g., 0 psig, 14.696 psia, 101.325 kPaa, and equilibrium vapor pressure) to which measured volumes are to be corrected.

4.21. reference temperature (Tb)

The base conditions of temperature (e.g., 60.0 °F, 15.00 °C, 20.00 °C) to which measured volumes are to be corrected.

4.22. roundtrip or calibration run

The combination of a single pass of the displacer in one direction (e.g., out) followed by a single pass of the displacer in the opposite direction (e.g., back) in a bi-directional displacement prover.

4.23. run

One pass of the displacer between detectors on a unidirectional prover; one round trip of the displacer between detectors on a bi-directional prover; one filling or emptying of an atmospheric tank prover


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between the upper neck scale level reading and the lower neck scale level reading or zero reference on an open tank prover; or, a single start and stop proving test run with a master meter in series with a line meter.

4.24. standard conditions

Standard temperature and pressure, in a geographic region, that may or may not be the same as the base or reference temperature and pressure used for custody transfer calculations of liquid hydrocarbons in that region or under a given contract.

4.25. target BPV

A term associated with the calibration of an open tank prover which refers to adjusting the sight glass scale(s) so that the target volume as indicated by the scale(s) agrees with the base prover volume as determined by calibration.

5. Symbols and Abbreviations

Symbols have been defined to aid in clarity of the mathematical treatments. Notations at the end of a symbol such as, ‘tm’ always refer to the test measure, ‘p’ always refers to the prover, and ‘b’ refers to base conditions.

Units

SI International System of Units (e.g. bar, kPa, cubic meter, kilogram, degrees Celsius)

USC U.S. Customary Units (e.g. psi, cubic inch, gallon, barrel, pound, °F) Pipe Dimensions

ID Inside Diameter OD Outside Diameter WT Wall Thickness

Steel Properties

E Modulus of Elasticity of Displacement Prover GC Cubical Coefficient of Thermal Expansion GL Linear Coefficient of Thermal Expansion GLd GL for Detector Mounting Shaft (external detectors) on Prover GLp GL for Prover GLtm GL for Test Measure

Water Properties

RHOW Density of Water RHOWt Water Density at temperature T in °C and Pb, in kg/m3


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RHOWo Water Density at temperature To, 999.973 58 kg/m3

RHOWp RHOW in Prover at Tp and Pp RHOWtm RHOW in Test Measure at Ttm and Ptm (equal to Pb) F Compressibility Factor of Liquid (Water) Fp Compressibility Factor of Liquid (Water) in Prover at Tp

Temperature

oC Celsius temperature scale oF Fahrenheit temperature scale T Temperature Tb Base Temperature (15.00 °C, 20.00 °C or 60.0 °F) Td Temperature of Detector mounting shaft on prover Tp Temperature in Prover Ttm Temperature in Test Measure To a constant for PM correlation, 3.9818 °C ΔT temperature difference for PM correlation, in °C Rounded Td Rounded Td Rounded Tp Rounded Tp Rounded Ttm Rounded Ttm Rounded RHOW Ttm Rounded Ttm for RHOW and Fp, in °C Rounded RHOW Tp Rounded Tp for RHOW and Fp, in °C

Pressure

kPa Kilopascals kPaa Kilopascals in absolute pressure units kPag Kilopascals in gauge pressure units psi Pounds per square inch psia Pounds per square inch in absolute pressure units psig Pounds per square inch in gauge pressure units P Pressure Pb Base Pressure (101.325 kPaa, 14.696 psia) Pba Base Pressure in absolute pressure units Pbg Base Pressure in gauge pressure units Pe Equilibrium vapor pressure of liquid (set at 0.0 kPag, 0.0 psig for water) Pp Mean Pressure in Prover in gauge pressure units Rounded Pp Rounded Pp

Flowrate


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Qav Flowrate for each ‘pass’ or ‘roundtrip’ of prover

Correction Factors

CPL Correction for Pressure (compressibility) on Liquid CPLp Correction for Pressure on Liquid in Prover CPLtm Correction for Pressure on Liquid in Test Measure CPS Correction for Pressure on Steel CPStm Correction for Pressure on Steel Test Measure CPSp Correction for Pressure on Steel Prover CTS Correction for Temperature on Steel CTSp Correction for Temperature on Steel Prover CTStm Correction for Temperature on Steel Test Measure CTSP_15 Correction for Temperature on Steel Prover to convert BPVusc_60 to

BPVsi_15 CTSP_20 Correction for Temperature on Steel Prover to convert BPVusc_60 to

BPVsi_20 CTSP_60 Correction for Temperature on Steel Prover to convert BPVsi_15 to

BPVusc_60 Volumes BPV Base Prover Volume at Tb and Pb BPVusc_60 Base Prover Volume in inches3 at 60 °F and 0.0 psig BPVsi_15 Base Prover Volume in mL at 15 °C and 0.0 kPag BPVsi_20 Base Prover Volume in mL at 20 °C and 0.0 kPag BPVnew New Base Prover Volume at Tb and Pb BPVold Previous (or Old) Base Prover Volume at Tb and Pb BPVtag Target Base Prover Volume for Open Tank Prover ΔBPV Difference Between BPVold and BPVnew for Prover ΔBPVtag Difference Between BPVtag and BPVnew for Open Tank Prover ΔBPV% Percent Difference Between BPVold and BPVnew for Prover ΔBPVtag% Percent Difference Between BPVtag and BPVnew for Prover BPVver Base Prover Volume for Open Tank Prover verification result ΔV Difference Between BPVnew and BPVver for Open Tank Prover ΔV% Percent Difference Between BPVnew and BPVver for Open Tank Prover BMV Base Test Measure Volume (from calibration certificate) in Tb and Pb


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BMVusc Base Test Measure Volume in inches3 at 60 °F and 0.0 psig BMVa_usc Base Test Measure Volume adjusted for scale reading in inches3 at Ttm in

XXX.xx °F and 0.0 psig BMVsi Base Test Measure Volume in mL at 15 °C and 0.0 kPag BMVa_si Base Test Measure Volume adjusted for scale reading in mL at Ttm in

XX.xxx °C and 0.0 kPag CPV Calibrated Prover Volume at Tb and Pb CPVusc_pass Calibrated Prover Volume for a Pass in inches3 at 60 °F and 0.0 psig CPVusc_out Calibrated Prover Volume for an ‘Out’ Pass in inches3 at 60 °F and 0.0 psig CPVusc_back Calibrated Prover Volume for a ’Back’ Pass in inches3 at 60 °F and 0.0 psig CPVusc_trip Calibrated Prover Volume for a Roundtrip or Calibration Run in inches3 at

60 °F and 0.0 psig CPVsi_pass Calibrated Prover Volume for a Pass in mL at 15 °C and 0.0 kPag CPVsi_out Calibrated Prover Volume an ‘Out’ Pass in mL at 15 °C and 0.0 kPag CPVsi_back Calibrated Prover Volume a ’Back’ Pass in mL at 15 °C and 0.0 kPag CPVsi_trip Calibrated Prover Volume a Roundtrip or Calibration Run in mL at 15 °C

and 0.0 kPag Avg CPVusc_out Average of CPVusc_out Passes for three (3) or more consecutive runs in

inches3 at 60 °F and 0.0 psig Avg CPVusc_back Average of CPVusc_back Passes for three (3) or more consecutive runs in

inches3 at 60 °F and 0.0 psig Avg CPVusc_trip Average of CPVusc_trip Roundtrips for three (3) or more consecutive runs

in inches3 at 60 °F and 0.0 psig Avg CPVsi_out Average of CPVsi_out Passes for three (3) or more consecutive runs in mL

at 15 °C and 0.0 kPag Avg CPVsi_back Average of CPVsi_back Passes for three (3) or more consecutive runs in

mL at 15 °C and 0.0 kPag Avg CPVsi_trip Average of CPVsi_trip Roundtrips for three (3) or more consecutive runs in

mL at 15 °C and 0.0 kPag Mtm Mass of Water in a Test Measure in kg Mpass Mass of Water in Test Measures for a Pass in kg Mpass_out Mass of Water in Test Measures for an ’Out’ Pass in kg Mpass_back Mass of Water in Test Measures for a ‘Back’ Pass in kg SR Scale Reading of Test Measure SRusc Scale Reading of Test Measure in inches3 SRsi Scale Reading of Test Measure in mL SRup_tank Upper Scale Reading of Tank Prover SRdn_tank Lower Scale Reading of Tank Prover


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TMVtp A Test Measure’s Volume at Ttm and Ptm TMVtp_usc A Test Measure’s Volume in inches3 at Ttm and Ptm TMVtp_si A Test Measure’s Volume in mL at Ttm and Ptm Other Symbols in3 or inches3 cubic inch mL milliliter m3 cubic meter kg kilogram PM Patterson and Morris ‘Out’ R% Range in percent for ‘Out’ Passes of three or more consecutive ‘Roundtrips’ ‘Back’ R% Range in percent for ‘Back’ Passes of three or more consecutive

‘Roundtrips’ ‘Trip’ R% Range in percent for ‘Roundtrip’ of three or more consecutive ‘Roundtrips’ ‘Qav’ R% Range in percent for Qav of three or more consecutive ‘Roundtrips’ Ref No. Reference Measure Number for each fill by Waterdraw Operator Fill No. Test Measure Fill Number for each pass by Waterdraw Operator Nom. Nominal Capacity of a Specific Test Measure or Open Tank Prover Seal No. Seal Number on a Specific Test Measure or Open Tank Prover n Number of Test Measures, ‘Out’ Passes, ‘Back’ Passes, or Roundtrips N1 constant, 1.638 706 E-05, to convert m3 to in3 N2 constant, 16.387 06, to convert in3 to mL N3 constant, 1.00 E-06, to convert from m3 to mL

A constant for Water Density correlation, 7.013 400 × 10-8

B constant for Water Density correlation, 7.926 504 × 10-6

C constant for Water Density correlation, -7.575 677 × 10-8

D constant for Water Density correlation, 7.314 894 × 10-10

E constant for Water Density correlation, -3.596 458 × 10-12

k0 constant for Water Compressibility correlation, 5.074 × 10-7

k1 constant for Water Compressibility correlation, -3.260 × 10-9

k2 constant for Water Compressibility correlation, 4.160 × 10-11

6. Calibration Requirements

6.1. General

The volume of each calibration pass shall be individually calculated to obtain a corrected volume at


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reference conditions. The calibration requirements are a function of the prover classification.

There are two general classes of provers that employ the waterdraw calibration method - displacement provers and open tank provers.

Sub-classes of displacement provers are unidirectional and bidirectional flow designs, as well as free and captive displacers (sphere or piston)

Sub-classes of open tank provers are top filling or bottom filling designs.

6.2. Displacement Provers - Unidirectional Design

For unidirectional provers, a calibration shall meet the following criteria:

Flowrate stability within a calibration run (or ‘Out’ pass) Calibration shall be considered acceptable when prover volumes at reference conditions

of three (3) or more consecutive calibration runs shall exhibit a range of 0.020 % or less. Flowrate between consecutive calibration runs shall change by at least 25 % or more.

Under special operational circumstances, and with the agreement of all parties concerned in the calibration, the flow rate change between consecutive roundtrips (or calibration runs) may be waived.

Displacement Provers - Bidirectional Design

For bidirectional provers, a calibration shall meet the following criteria:

Flowrate stability within a roundtrip (consecutive ‘Out’ and ‘Back’ passes) Calibrated Prover Volumes (CPV) for the "Out" pass of three (3) or more consecutive

roundtrips shall exhibit a range of 0.020 percent or less. Calibrated Prover Volumes (CPV) for the "Back" pass of three (3) or more consecutive

roundtrips shall exhibit a range of 0.020 percent or less. Calibrated Prover Volumes (CPV) of three or more consecutive roundtrips shall exhibit a

range of 0.020 percent or less. Flowrate between the “Out” and the “Back” pass shall remain the same for each

roundtrip. Flowrate between consecutive roundtrips shall be changed by at least twenty five

percent (25%) or more.

Under special operational circumstances, and with the agreement of all parties concerned, the flow rate change between consecutive calibration roundtrips may be waived.

Open Tank Provers


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For open tank provers, the calibration shall be considered acceptable when the following criteria are satisfied:

Flowrate stability within a calibration run (or ‘Out’ pass) Calibrated Prover Volumes (CPV) for two (2) or more consecutive calibration runs

shall exhibit a range of 0.020 percent or less. After adjusting the scale(s) and resealing, a third calibrated volume at reference

conditions shall be determined. This volume (BPVver) shall be within ±0.010 % from New Base Prover Volume (BPVnew).

There is no flow rate variation criterion between consecutive calibration runs for open tank provers.

Range (‘Out’ R%, ‘Back’ R%, ‘Trip’ R %, and ‘Qav’ R %)

As a measure of repeatability and reproducibility, the following equation shall be utilized to verify the range of results for displacement provers and open tank provers.

R(%) = ( Maximum – Minimum ) / ( Minimum ) x 100

The Range - ‘Out’ R%, ‘Back’ R%, ‘Trip’ R %, and ‘Qav’ R % - shall be determined for CPVout, CPVback, CPVtrip and Qav for three or more consecutive calibration runs.

Displacement Prover Wear – ΔBPV, ΔBPV%

Although not a requirement, the user community traditionally determines the ΔBPV and ΔBPV% to ascertain the physical condition of a displacement prover.

ΔBPV = BPVnew – BPVold

And,

ΔBPV% = ΔBPV / BPVnew x 100

Where, ΔBPV Difference Between BPVold and BPVnew for Displacement Prover BPVnew New Base Prover Volume BPVold Previous (or Old) Base Prover Volume ΔBPV% Percent Difference Between BPVold and BPVnew for Displacement Prover

If the prover was disassembled, modified, re-coated, detector switch adjusted, detector switch replaced, then the BPVold is not representative of the current prover (artefact). For this scenario, the ΔBPV and ΔBPV% are both set to zero.


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Verification Tolerance for Open Tank Prover - ΔV, ΔV%

As a measure of reproducibility and to ensure the reading scales have been set properly, the following equation shall be used to verify the BPV results for an open tank prover -

ΔV = BPVnew - BPVver

And,

ΔV% = ( ΔV / BPVnew ) x 100

Where, ΔV Difference Between BPVnew and BPVver for Open Tank Prover BPVnew New Base Prover Volume BPVold Previous (or Old) Base Prover Volume ΔV% Percent Difference Between BPVnew and BPVver for Open Tank Prover

7. Correction Factors

In the waterdraw method, the field standard test measure(s) and prover being calibrated are subject to correction factors to determine the Calibrated Prover Volume (CPV) and Base Prover Volume (BPV).

Corrections are made for -

water density in test measure(s), RHOWtm and CPLtm effect of thermal expansion of steel in test measure(s), CTStm elastic distortion of test measure due to pressure, CPStm water density in prover, RHOWp and CPLp effect of thermal expansion of steel prover, CTSp elastic distortion of prover due to pressure, CPSp


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Water Density (RHOWt)

The Patterson and Morris (PM) water density correlation predicts the density of water (RHOWt) at standard pressure (101.325 kPaa, 14.696 psia) as a function of temperature in degrees Celsius and shall be calculated using the following equation -

RHOWt = RHOo x { 1 – [ ( A x ΔT ) + (B x ΔT2 ) + (C x ΔT3 ) + ( D x ΔT4 ) + ( E x ΔT5 ) ] } Where,

RHOWt density at temperature T and Pb in kg/m3

RHOo density at temperature To, 999.973 58 kg/m3 T temperature, in °C To 3.9818 °C ΔT temperature difference, in °C

A 7.013 400 × 10-8

B 7.926 504 × 10-6

C –7.575 677 × 10-8

D 7.314 894 × 10-10

E –3.596 458 × 10-12

And,

ΔT = T – To

N.B.: When T is measured in °F units, it has to be converted to °C units for the PM water density correlation. To maintain the predictive precision of the PM water density correlation, the conversion of T from XXX.xx °F to XX.xxx °C is required.

To convert from °F to °C,

T in °C = (°F – 32) x 5 / 9

The water density correlation is applicable from 1.00 to 40.00 °C (33.8 to 104.0 °F) and produces the following results -

Density at 15.00 °C (59.0 °F) 999.102 kg/m3

Density at 20.00 °C (68.0 °F) 998.206 kg/m3

Density at 60.0 °F (15.556 °C) 999.016 kg/m3

Water Density in Test Measure at Pb (RHOWtm)


19

The water density for a test measure at Pb (RHOWtm) shall be calculated using the PM equation as follows for each test measure ‘fill’-

RHOWtm = RHOo x {1 – [( A x ΔTtm ) + (B x ΔTtm2 ) + (C x ΔTtm3 ) + ( D x ΔTtm4 ) + ( E x ΔTtm5 )]} Where,

RHOWtm test measure density in kg/m3 at Pb

RHOo density at temperature To, 999.973 58 kg/m3 Ttm test measure temperature, in °C To 3.9818 °C ΔTtm test measure temperature difference, in °C

A 7.013 400 × 10-8

B 7.926 504 × 10-6

C -7.575 677 × 10-8

D 7.314 894 × 10-10

E -3.596 458 × 10-12

And,

ΔTtm = Ttm – To

N.B.: When Ttm is measured in °F units, it has to be rounded then converted to °C units for the PM water density correlation. To maintain the predictive precision of the PM water density correlation, Rounded Ttm shall be converted from XXX.xx °F to XX.xxx °C.


20

Water Density in Prover at Pb (RHOWp)

The water density for a test measure at Pb (RHOWp) shall be calculated using the PM equation as follows for each ‘pass’ -

RHOWp = RHOo x { 1 – [ ( A x ΔTp ) + (B x ΔTp2 ) + (C x ΔTp3 ) + ( D x ΔTp4 ) + ( E x ΔTp5 ) ] } Where,

RHOWp prover density in kg/m3 at Pb

RHOo density at temperature To, 999.973 58 kg/m3 Tp prover temperature, in °C To 3.9818 °C ΔTp prover temperature difference, in °C

A 7.013 400 × 10-8

B 7.926 504 × 10-6

C -7.575 677 × 10-8

D 7.314 894 × 10-10

E -3.596 458 × 10-12

And,

ΔTp = Tp – To

N.B.: When Tp is measured in °F units, it has to be rounded then converted to °C units for the PM water density correlation. To maintain the predictive precision of the PM water density correlation, Tp shall be converted from XXX.xx °F to XX.xxx °C.

Compressibility Factor of Water (F)

The Compressibility Factor (F) for water, based on Tanaka’s paper and referenced in API MPMS Chapter 11.4.1, is a function of temperature and shall be calculated using the following equation -

F = k0 + ( k1 x T ) + ( k2 x T2 ) per kPa

Where, T temperature, in °C

k0 5.074 × 10-7

k1 -3.260 × 10-9

k2 4.160 × 10-11

N.B.: When T is measured in °F units, it has to be rounded then converted to °C units for the compressibility factor (F) correlation. To maintain the predictive precision of the compressibility


21

factor (F) correlation, T shall be converted from XXX.xx °F to XX.xxx °C.

Tanaka’s Compressibility Factor (F) correlation for water is applicable from 1.00 to 40.00 °C (33.8 to 104.0 °F) and produces the following results –

Fp at 15.00 °C (59.00 °F) 0.000 000 468 per kPa Fp at 20.00 °C (68.00 °F) 0.000 000 459 per kPa Fp at 60.0 °F (15.556 °C) 0.000 003 22 per kPa

Correction for Pressure on Water (CPL)

Since water's equilibrium vapor pressure (Pe) is considered equal to or less than the base pressure (Pba), the CPL equation for water in a shall be calculated using the following simplified expression -

CPL = 1 / [ 1 - ( P x F ) ] Where,

CPL Correction for Pressure (compressibility) on Water P Pressure (in gauge units) F Compressibility Factor for Water at T (per kPag)

Correction for Pressure on Water in Test Measure (CPLtm)

Since Test Measures operate at atmospheric pressure (Pb), the CPL correction is set equal to unity (CPLtm = 1.000 000).

Correction for Pressure on Water in Open Tank Prover (CPLp)

Since Open Tank Provers operate at atmospheric pressure (Pb), the CPL correction is set equal to unity (CPLp = 1.000 000).

Correction for Pressure on Water in Displacement Prover (CPLp)

Since Displacement Provers operate at greater than atmospheric pressure (Pb), the CPL correction shall be calculated using the following simplified expression for each ‘pass’ -

CPLp = 1 / [ 1 - ( Pp x Fp ) ] Where,

CPL Correction for Pressure (compressibility) on Water Pp Pressure (in gauge units) Fp Compressibility Factor for Water in Displacement Prover at Tp


22

The Fp value shall be calculated using the Tanaka’s correlation -

Fp = k0 + ( k1 x Tp ) + ( k2 x Tp2 ) per kPa

Where, Tp Rounded Tp, in °C

k0 5.074 × 10-7

k1 -3.260 × 10-9

k2 4.160 × 10-11

N.B.: When Tp is measured in °F units, it has to be converted to °C units for the compressibility factor (F) correlation. To maintain the predictive precision of the compressibility factor (Fp) correlation, Tp shall be converted from XXX.xx °F to XX.xxx °C.

To convert from °F to °C,

T in °C = (°F – 32) x 5 / 9

The Pp value shall be converted to X XXX.0 kPag units using the following equations -

For Pp in barg units,

Pp in kPag = Pp in barg x 100

For Pp in psig units,

Pp in kPag = Pp in psig x 6.894 757

Uncertainty of Patterson-Morris and Tanaka Water Density Correlations

The uncertainty of the water density correlations (RHOWt x CPL) over the range of application is estimated to be ± 5 ppm. See Table 1?

Table 1—Uncertainty of Patterson-Morris-Tanaka Correlation (ppm)


23

Correction for Temperature on Steel Container (CTS)

Any container (displacement prover, tank prover, or field standard test measure), when subjected to a change in temperature will change its volume accordingly. The volume change, regardless of shape, is proportional to the coefficient of thermal expansion of the single construction material(s).

The linear coefficient of thermal expansion (GLp) is required for displacement provers.

The linear or cubical coefficient of thermal expansion (GLp, GCp) may be used for an open tank prover.

The linear or cubical coefficient of thermal expansion (GLtm, GCtm), depicted on the Report of Calibration furnished by the calibrating agency (e.g., NIST, NEL), shall be used for field standard test measure(s).

Correction for Temperature on Test Measure (CTStm)

The CTS for a test measure (CTStm) shall be calculated as follows for each test measure fill -

CTStm = { 1 + [ GLtm x (Ttm - Tb) ] }^3 Where,

CTStm Correction for Temperature on Steel Test Measure GLtm Coefficient of linear thermal expansion of Test Measure Tb Base temperature Ttm Mean liquid temperature in Test Measure

N.B.: When Tb and Ttm are in XXX.xx °F units, then GLtm has tobe in per °F units. When Tb and Ttm are in XX.xxx °C units, then GLtm has to be in per °C units.

°C 1.00 1.67 4.44 10.00 15.00 15.56 20.00 21.11 26.67 32.22 37.78 40.00 °C

°F 33.8 35.0 40.0 50.0 59.0 60.0 68.0 70.0 80.0 90.0 100.0 104.0 °F

0 (1) (1) (1) 0 (1) (1) (1) (1) (2) (1) (1) (1) 0

5 (1) (2) (1) 0 (1) (1) (1) (1) (1) (1) (1) (1) 34

10 (1) (1) (1) 0 (1) (1) (1) (1) (2) (1) 0 (1) 69

15 (1) (1) (1) 0 (1) (1) (2) (2) (1) (1) 0 (1) 103

20 0 (1) (1) 0 0 (1) (1) (1) (2) (1) 0 (1) 138

25 (1) (1) (1) 0 0 (1) (1) (1) (1) 0 (2) (2) 172

50 (1) (1) (1) 0 (1) (1) (1) (1) (3) (1) 0 (1) 345

100 (1) (1) (1) 0 1 0 (2) (2) (3) (2) 0 0 689

150 (2) (1) 0 1 1 1 0 (1) (3) (1) 1 0 1,034

200 (1) (1) 1 1 0 0 0 (1) (2) (1) 1 1 1,379

250 (1) (1) 1 3 1 1 1 (1) (2) (1) 2 2 1,724

300 0 1 2 4 3 1 0 1 (1) 0 3 3 2,068

Uncertainty of Patterson-Morris-Tanaka Correlation - ppm

Pre

ssu

re (

psi

g)

Pre

ssu

re (

kPag

)


24

Correction for Temperature on Displacement Prover with Integrally Mounted Detectors or an Open Tank Prover (CTSp)

The CTS for a displacement prover with integrally mounted detectors (detectors located in the calibrated section of pipe) shall be calculated as follows for each ‘pass’ -

CTSp = { 1 + [ GLp x (Tp - Tb) ] }^3 Where,

CTSp Correction for Temperature on Steel Prover GLp Coefficient of linear thermal expansion of steel container Tb Base temperature Tp Mean liquid temperature in Steel Prover

Correction for Temperature on Displacement Prover with Externally Mounted Detectors (CTSp)

For a displacement prover with externally mounted detectors, two temperature measurements (Tp, Td) are required and may comprise two dissimilar materials, the correction factor for the effect of temperature (CTSp) shall be calculated as follows for each ‘pass’ -

CTSp = { 1 + [ GLp x (Tp - Tb) ] }^2 x { 1 + [ GLd x (Td - Tb) ] } Where,

CTSp Correction for Temperature on Steel Prover GLp Coefficient of linear thermal expansion of steel container GLd Coefficient of linear thermal expansion of external detector shaft Tb Base temperature Tp Mean liquid temperature in Steel Prover Td Temperature of the detector mounting shaft with external detectors

N.B.: When Tb, Tp, and Td are in XXX.xx °F units, then GCtm and GLtm has to be in per °F units. When Tb, Tp, and Td are XX.xxx °C units, then GCtm and GLtm has to be in per °C units.

Correction for Pressure on Steel Container (CPS)

If a metal pressurized container (displacement prover) is subjected to an internal pressure, the walls of the container will stretch elastically, and the volume of the container will change accordingly.

The modulus of elasticity (E) shall preferably be determined for the materials used in the construction of the calibrated section. However, the values contained in Table 14 shall be used if the modulus of elasticity (E) is unknown.


25

Correction for Pressure on Field Standard Test Measure (CPStm), Open Tank Prover (CPSp), and Double-Walled Displacement Prover (CPSp)

Field Standard Test Measures and Open Tank Provers operate at atmospheric pressure, is not subjected to an internal pressure. As such, these devices do not stretch elastically.

CPStm and CPSp = 1.000 000

For Double-Walled Displacement Provers, the inner measuring section of the displacement prover is not subjected to a net internal pressure (Pp equals 0.0 psig, 0.0 kPag, and 0.0 barg). As such, the prover’s inner wall does not stretch elastically, therefore -

CPSp = 1.000 000

Correction for Pressure on Single-Walled Displacement Prover (CPSp)

The correction for the effect of internal pressure on the volume of a steel container (CPS), shall be calculated using the following equation for each ‘pass’ -

CPSp = { 1 + [ ( Pp x ID ) / ( E x WT ) ] }

And,

ID = [ OD - (2 x WT) ] Where,

CPSp Correction for Pressure on Steel Prover Pp Mean pressure of prover, in gauge pressure units ID Internal diameter of prover E Modulus of elasticity of the prover OD Outside diameter of the prover WT Wall thickness of the prover

8. Volume, Mass, and Range Equations

Several equations are applied with rules for rounding, a specific sequence of calculations, and discrimination levels of all numbers to determine the New Base Prover Volume (BPVnew).

To restate, a successful calibration of a unidirectional displacement prover shall demonstrate –

Flowrate stability within a calibration run (or ‘Out’ pass)


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Three (3) or more consecutive calibration runs R% ≤ 0.020 % for three (3) or more consecutive calibration runs Flowrate change between consecutive calibration runs (CPVtrip) of at least 25 %

To restate, a successful calibration of a bidirectional displacement prover shall demonstrate –

Flowrate stability within a roundtrip (consecutive ‘Out’ and ‘back’ passes) Three (3) or more consecutive roundtrips ‘Out’ R% ≤ 0.020 % for three (3) or more consecutive calibration passes ‘Back’ R% ≤ 0.020 % for three (3) or more consecutive roundtrips ‘Roundtrip” R% ≤ 0.020 % for three (3) or more consecutive roundtrips For bidirectional displacement prover, flowrate change between consecutive

roundtrips (CPVtrip) of at least 25 %

To restate, a successful calibration of an open tank prover shall demonstrate –

Flowrate stability within a calibration run (or ‘Out’ pass) Calibrated Prover Volumes (CPVtrip) for two (2) or more consecutive calibration runs

shall exhibit a range of 0.020 %or less. After adjusting the scale(s) and resealing, a third calibrated volume at reference

conditions shall be determined. This volume (BPVver) has to be within ± 0.010 % from New Base Prover Volume (BPVnew).

Test Measure ‘Fill’

For each test measure ‘fill’, the BMVa is calculated as follows –

BMVa = BMV + SR Where,

BMVa Adjusted Base Measure Volume for specified Test Measure BMV Base Measure Volume for specified Test Measure (from certificate) SR Scale Reading for specified Test Measure at Ttm and Pb

For each test measure ‘fill’, the TMVtp is calculated as follows –

TMVtp = BMVa x CTStm x CPStm Where,

TMVtp Test Measure Volume for the specified Test Measure at Ttm and Pb BMVa Adjusted Base Measure Volume for specified Test Measure CTStm Correction for Temperature on Steel Test Measure CPStm Correction for Pressure on Steel Test Measure (set equal to 1.000 000)


27

When the BMV is in inches cubed at 60 °F, each test measure ‘fill’, the Mtm is calculated as follows –

Mtm = TMVtp x RHOWtm x N1 x CPLtm

Where, Mtm Mass of Water in a Test Measure in kilograms RHOWtm RHOW in Test Measure at Rnd’d Ttm in °C and Pb N1 A constant, 1.638 706 E-05, to convert m3 to in3 CPLtm Correction for Pressure on Liquid in Test Measure (set equal to 1.000 000)

Mass for a Pass (Mpass)

For each Pass of the prover, the Mpass is calculated as follows –

Mpass = ∑n Mtm Where,

n number of test measures associated for the specified pass Mtm Mass of Water in kg for each specified Test Measure on one pass

Calibrated Prover Volume for a Pass (CPVusc_pass, CPVsi_pass) For Test Measures certified in inches3, the CPVusc_pass is calculated as follows –

CPVusc_pass = ( ∑n Mtm ) / [ CTSp x CPSp x ( RHOWp x N1 x CPLp ) ]

Where, CPVusc_pass Calibrated Prover Volume for a Pass in inches3 at 60 °F and 0.0 psig Mtm Mass of Water in a Test Measure in kg CTSp Correction for Temperature on Steel Prover CPSp Correction for Pressure on Steel Prover RHOWp RHOW in Prover at Tp and Pp in kg/m3 N1 A constant, 1.638 706 E-05, to convert m3 to in3 CPLp Correction for Pressure on Liquid in Displacement Prover

For Test Measures certified in mL, the CPVsi_pass is calculated as follows –

CPVsi_pass = ( ∑n Mtm ) / [ CTSp x CPSp x ( RHOWp x N3 x CPLp ) ]

Where, CPVsi_pass Calibrated Prover Volume for a Pass in mL at 15 °C and 0.0 kPag Mtm Mass of Water in a Test Measure in kg CTSp Correction for Temperature on Steel Prover CPSp Correction for Pressure on Steel Prover RHOWp RHOW in Prover at Tp and Pp in kg/m3 N3 A constant, 1.00 E-06, to convert m3 to mL CPLp Correction for Pressure on Liquid in Displacement Prover


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Calibrated Prover Volume for a Single Roundtrip (CPVusc_trip, CPVsi_trip) For Test Measures certified in inches3, the CPVusc_trip is calculated as follows –

CPVusc_trip = CPVusc_out + CPVusc_back Where,

CPVusc_trip Calibrated Prover Volume for Roundtrip in inches3 at 60 °F and 0.0 psig CPVusc_out Calibrated Prover Volume for a ‘Out’ Pass in inches3 at 60 °F and 0.0 psig CPVusc_back Calibrated Prover Volume for a ‘Back’ Pass in inches3 at 60 °F and 0.0 psig

For Test Measures certified in mL, the CPVsi_trip is calculated as follows –

CPVsi_trip = CPVsi_out + CPVsi_back

Where,

CPVsi_trip Calibrated Prover Volume for Roundtrip in mL at 15 °C and 0.0 kPag CPVsi_out Calibrated Prover Volume for a ‘Out’ Pass in mL at 15 °C and 0.0 kPag CPVsi_back Calibrated Prover Volume for a ‘Back’ Pass in mL at 15 °C and 0.0 kPag

Average Calibrated Prover Volumes (Avg CPVout, Avg CPVback, Avg CPVtrip) The Avg CPVout is calculated for three or more consecutive roundtrips or runs as follows – Avg CPVout = ( ∑n CPVout ) / n

Where,

Avg CPVout Average CPVout for all ‘Out’ Passes CPVout Calibrated Prover Volume for a Single ‘Out’ Pass n Number of Roundtrips or Runs

The Avg CPVback is calculated for three or more consecutive roundtrips or calibration runs as follows –

Avg CPVback = ( ∑n CPVback ) / n

Where,

Avg CPVback Average CPVout for all ‘Out’ Passes CPVback Calibrated Prover Volume for a Single ‘Back’ Pass n Number of Roundtrips or Runs

The Avg CPVtrip is calculated for three or more consecutive roundtrips or runs as follows –

Avg CPVtrip = ( ∑n CPVtrip ) / n

Where,

Avg CPVtrip Average CPVtrip for all Roundtrips or Runs


29

CPVtrip Calibrated Prover Volume for a Single Roundtrip or Run N Number of Roundtrips or Runs

Range Equations - ‘Out’, ‘Back’, ‘Roundtrip’ and ‘Qav’ The Range equations are –

‘Out’ R% = ( Max CPVout – Min CPVout ) / ( Min CPVout ) x 100

Where, ‘Out’ R% Range in percent of the ‘Out’ Passes for all calibration runs Max CPVout Maximum CPVout Pass for all calibration runs Min CPVout Minimum CPVout Pass for all calibration runs

‘Back’ R% = ( Max CPVback – Min CPVback ) / ( Min CPVback ) x 100

Where, ‘Back’ R% Range in percent of the ‘Back’ Passes for all calibration runs Max CPVback Maximum CPVback Pass for all calibration runs Min CPVback Minimum CPVback Pass for all calibration runs

‘Trip’ R% = ( Max CPVtrip – Min CPVtrip ) / ( Min CPVtrip ) x 100

Where, ‘RT’ R% Range in percent of the CPV for all calibration runs (or roundtrips) Max CPVtrip Maximum CPVtrip for all calibration runs (or roundtrips) Min CPVtrip Minimum CPVtrip for all calibration runs (or roundtrips)

‘Qav’ R% = ( Max Qav – Min Qav ) / ( Min Qav ) x 100

Where, ‘Qav’ R% Range in percent of the Qav for all calibration runs (or roundtrips) Max Qav Maximum Qav for all calibration runs (or roundtrips) Min Qav Minimum Qav for all calibration runs (or roundtrips)

New Base Prover Volume (BPVnew) If the criteria have been satisfied, the BPVnew is calculated as follows –

BPVnew = Avg CPVtrip Where,

BPVnew New Base Prover Volume n number of calibration runs, or roundtrips


30

Avg CPVtrip Average CPVtrip for all Roundtrips or Runs The BPVnew (mL, in3) is then converted to a BPV user determined unit (m3, L, Bbl, gal, ft3) at the specified base (reference or standard) conditions. Refer to Table 11 for the conversion factors and Table 12 for the proper reporting levels. Converting CPV and BPV to Other Base Conditions To convert the BPV to other base (reference or standard) conditions, the following equations are applicable.

For a displacement prover with integral detectors or an open tank prover, the CTSp is -

CTSp = { 1 + [ GLp x (Tp - Tb) ] }^3 Where,

CTSp Correction for Temperature on Steel Prover GLp Coefficient of linear thermal expansion of steel container Tb Base temperature Tp Mean liquid temperature in Steel Prover

For a displacement prover with externally mounted detectors, the CTSp is -

CTSp = { 1 + [ GLp x (Tp - Tb) ] }^2 x { 1 + [ GLd x (Td - Tb) ] Where,

CTSp Correction for Temperature on Steel Prover GLp Coefficient of linear thermal expansion of steel container GLd Coefficient of linear thermal expansion of external detector shaft Tb Base temperature Tp Temperature in displacement prover Td Temperature of the detector mounting shaft with external detectors

Converting CPVusc and BPVusc to CPVsi and BPVsi

To convert CPVusc in inches3 at Tb of 60 to CPVsi in mL at Tb of 15.00 °C –

CPVsi_15 = CPVusc_60 x CTSp_15 x N2

Where, CPVsi_15 Calibrated Prover Volume in mL at 15.00 °C and 0.0 kPag BPVusc_60 Base Prover Volume in inches3 at 60.00 °F and 0.0 psig N2 A constant, 16.387 06, to convert inches3 to mL CTSp_15 Correction for Temperature on Steel Prover


31

To convert CPVusc in inches3 at Tb of 60 to CPVsi in mL at Tb of 20.00 °C –


Where, CPVsi_15 Calibrated Prover Volume in mL at 20.00 °C and 0.0 kPag BPVusc_60 Base Prover Volume in inches3 at 60.00 °F and 0.0 psig N2 A constant, 16.387 06, to convert inches3 to mL CTSp_15 Correction for Temperature on Steel Prover

To convert BPVusc_60 in inches3 at Tb of 60 to BPVsi_15 in mL at Tb of 15.00 °C –

BPVsi_15 = BPVusc_60 x CTSp_15 x N2

Where, BPVsi_15 Base Prover Volume in mL at 15.00 °C and 101.425 kPaa BPVusc_60 Base Prover Volume in inches3 at 60.00 °F and 14.696 psia N2 A constant, 16.387 06, to convert inches3 to mL CTSp_15 Correction for Temperature on Steel Prover

To convert BPVusc_60 in inches3 at Tb of 60.0 °F to BPVsi_20 mL at Tb of 20.00 °C –



When calculating the CTSp_15, use the following values –

GLp Coefficient of linear thermal expansion of steel container (per °F) GLd Coefficient of linear thermal expansion of external detector shaft (per °F) Tb Base temperature of 60.0 °F Tp Temperature in prover of 59.0 °F (15.00 °C) Td Temperature of the detector mounting shaft of 59.0 °F (15.00 °C)


GLp Coefficient of linear thermal expansion of steel container (per °F) GLd Coefficient of linear thermal expansion of external detector shaft (per °F) Tb Base temperature of 60.0 °F Tp Temperature in prover of 68.0 °F (20.00 °C) Td Temperature of the detector mounting shaft of 68.0 °F (20.00 °C)


32

Converting CPVsi and BPVsi to CPVusc and BPVusc

To convert a CPVsi in mL at Tb of 15.000 °C to CPVusc in3 at Tb of 60.00 °F –

CPVusc_60 = CPVsi_15 x CTSp_60 / N2

Where, CPVusc_60 Calibrated Prover Volume in inches3 at 60.00 °F and 0.0 psig CPVsi_15 Calibrated Prover Volume in mL at 15.00 °C and 0.0 kPag N2 A constant, 16.387 06, to convert inches3 to mL CTSp_60 Correction for Temperature on Steel Prover

To convert CPVusc_60 in inches3 at Tb of 60.00 °F to CPVsi_20 mL at Tb of 20.000 °C –



To convert a BPVsi from mL at Tb of 15.000 °C to CPVusc in3 at Tb of 60.00 °F –

BPVusc_60 = BPVsi_15 x CTSp_60 / N2 Where,

BPVusc_60 Base Prover Volume in inches3 at 60.00 °F and 0.0 psig BPVsi_15 Base Prover Volume in mL at 15.00 °C and 0.0 kPag N2 A constant, 16.387 06, to convert inches3 to mL CTSp_60 Correction for Temperature on Steel Prover

To convert CPVusc_60 in inches3 at Tb of 60.00 °F to CPVsi_20 mL at Tb of 20.000 °C –





33

GLp Coefficient of linear thermal expansion of steel container (per °C) GLd Coefficient of linear thermal expansion of external detector shaft (per °C) Tb Base temperature of 15.000 °C Tp Temperature in prover of 15.556 °C (60.00 °F) Td Temperature of the detector mounting shaft of 15.556 °C (60.00 °F)


GLp Coefficient of linear thermal expansion of steel container (per °C) GLd Coefficient of linear thermal expansion of external detector shaft (per °C) Tb Base temperature of 15.556 °C (60.00 °F) Tp Temperature in prover of 20.000 °C (68.00 °F) Td Temperature of the detector mounting shaft of 20.000 °C (60.00 °F)

9. Precision, Rounding, Discrimination and Reporting Levels

Precision

The minimum precision of the computing hardware has to be equal to or greater than a ten-digit calculator to obtain the same answer in all calculations.

Rounding

When a number is to be rounded to a specific number of decimals, it shall always be rounded off in one step to the number of figures that are to be recorded and shall not be rounded in two or more steps of successive rounding. The rounding procedure shall be in accordance with the following:

When the figure to the right of last place to be retained is 5 or greater, the figure in the last place to be retained should be increased by 1.

If the figure to the right of the last place to be retained is less than 5, the figure in the last place retained should be unchanged.

Discrimination and Reporting Levels

The objective of this standard is to record the readings, then perform the calculations.

Chapter 4.9.1 requires a minimum accuracy of ± 0.10 ºF (± 0.05 ºC) and +/- 1 psig (± 0.069 bar, ±6.895 kPa) for the temperature and pressure devices involved in the determination of the BPV.

This standard requires the user to record to the levels shown in the Tables 2 and 3 (temperature, pressure) to achieve the 1 ppm agreement, but not beyond these levels.


34

If the user records the observed temperature values to the nearest 0.10 ºF, then these would be converted to the nearest 0.056 ºC. If the user records the observed pressure values to the nearest 1.0 psig, then these would be converted to the nearest 0.069 bar or 6.895 kPa.

Technically, it is not achievable for temperature to be accurate to less than ± 0.10 ºF (± 0.05 ºC). This limitation is due to thermowell heat transfer, transfer medium, temperature lagging, temperature device limitations (design, sensor type, certification limitations), ambient effects, and so forth.

For field temperature measurements the maximum discrimination levels using digital or analog field sensing devices, shall be XX.xxx ºC or XXX.xx ºF.

N.B.: When Tp and Ttm are measured in °F units, these parameters have to be converted to °C units for both the PM water density (RHOWp, RHOWtm) and Tanaka compressibility factor (Fp) correlations. To maintain the predictive precision of these correlations, the calculation procedure requires conversion of the Rounded Tp from °F to °C units to XX.xxx °C.

For pressure field measurements the maximum discrimination levels using digital or analog field sensing devices, shall be XX XXX.0 kPa or XXX.xx bar or X XXX.0 psi.

All required data and equation results shall be recorded and rounded (reporting) in accordance with the discrimination and reporting levels specified in the section. For detailed guidance, the user should reference the Process Maps and Examples contained in this standard.

Discrimination and reporting levels different than those specified are not permitted for determining Base Prover Volume.

Symbol Table

Pipe Dimensions OD 1

WT 1 ID 1

Temperature Tb 2 Td 2 Tp 2 Ttm 2 Rounded Td 2 Rounded Tp 2 Rounded RHOW Tp 2 Rounded Ttm 2 Rounded RHOW Ttm 2


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Pressure Pb 3 Pp 3 Rounded Pp 3

Flowrate Qav 4

Test Measure SR 5 BMV 5 BMVa 5

Compressibility Factor Fp 6

Water Density RHOWp 7

RHOWtm 7

Coefficient of Thermal Expansion GCp 8 GLd 8 GLp 8

GLtm 8, from certificate

Modulus of Elasticity E 9

Correction Factors

CPL 10 CPS 10

CTS 10 CPLp 10 CPSp 10 CPStm 10 CTSp 10 CTStm 10 CCTS 10

CTDW 10

Mass and Volume Mpass 11

TMVtp 11 CPV 11 BPV 11


36

BPV Volumes BPV 12

N.B.: For the certified test measures, the steel properties (GCtm, GLtm) employed in the calculations shall be obtained from the metrology’s certificate of calibration.

The Discrimination and Reporting Levels are stated in tabular format below for clarity.

Table 1 - Pipe Dimensions

SI Unit USC Unit(mm) (inch)

ID XXX.xx XX.xxxWT XX.xx X.xxxOD XXX.xx XX.xxx

Pipe Dimensions

SI Unit USC Unit(Lpm) (gpm)

Flowrate (Qav) XXX.0 XXX.0

Flowrate


37

Table 2 - Flowrate

Table 3 - Temperature

SI Unit USC Unit(°C) (°F)

Base Temperature (Tb) 15.000 60.00External Detector Temperature (Td) XX.xxx XXX.xx

Mean Prover Temperature (Tp) XX.xxx XXX.xxTest Measure Temperature (Ttm) XX.xxx XXX.xx

Rounded Td XX.xxx XXX.xxRounded Tp XX.xxx XXX.xx

Rounded Ttm XX.xxx XXX.xx

Rounded Tp1 XX.xxx -Rounded Ttm1 XX.xxx -

Note:

Rounding Levels when Tp and Ttm is measured in °F units, but converted to °C units for PM and Tanaka correlations.

Temperature

SI Unit(kPa) (bar) (psia) (psig)

Base Pressure (Pb) 101.325 1.01325 14.696 0.0Prover Pressure (Pp) XX XXX.0 XX.xx - X XXX.0

Rounded Pp XX XXX.0 XX.xx - X XXX.0

Pressure

USC Unit


38

Table 4 - Pressure

Table 5 - Test Measures

Table 6 - Water Compressibility Factor

Table 7 - Water Density

SI Unit USC Unit

(mL) (in3)

Scale Readings (SR) X.xx X.xxBase Measure Volume (BMV)

Nominal Capacity(Nom.)BMVa X.xxx X.xxx x

Test Measures

from certificatefrom certificate

USC Unit(kPa) (bar) (psig)

Compressibility Factor (F, Fp) 0.000 000 xxx 0.000 0xx x 0.000 00x xx

SI Unit

Water Compressibility Factor

SI Unit USC Unit

(kg/m3) (kg/m3)

Prover Density (RHOWp) X XXX.xxx X XXX.xxxTest Measure Density (RHOWtm) X XXX.xxx X XXX.xxx

Water Density


39

Table 8 - Coefficient of Thermal Expansion

Table 9 - Modulus of Elasticity

SI Unit USC Unit(per °C) (per °F)

Displacement or Tank Prover (GCp) 0.000 0xx xx 0.000 0xx xxTest Measure (GCtm) from certificate

Displacement or Tank Prover Wall (GLp) 0.000 0xx xx 0.000 0xx xxExternal Detector Rod (GLd) 0.000 0xx xx 0.000 0xx xx

Test Measure (GLtm) from certificate

Coefficient of Thermal Expansion

USC Unit(per kPa) (per bar) (per psig)

Modulus of Elasticity (E) XXX XXX XXX X XXX XXX XX XXX XXX

Modulus of Elasticity

SI Unit


40

Table 10 - Correction Factors

Table 11 - Mass and Volume

CPL X.xxx xxxCPS X.xxx xxxCTS X.xxx xxx

CPLp X.xxx xxxCPSp X.xxx xxx

CPStm X.xxx xxxCTSp X.xxx xxx

CTStm X.xxx xxx

Correction Factors

SI Unit(kg)

Mtm XXX.xxx xxxMpass X XXX.xxx xxx

SI Unit USC Unit

(mL) (in3)

TMVtp, CPV, BPV XXX XXX.xxx XXX XXX.xxx x

Mass and Volume

(m3) (L) (Bbl) (gal) (ft3)

ABC.xxx A BCD.xx A BCD.xx A BCD.xx A BCD.xxAB.xxx x ABC.xxx ABC.xxx ABC.xxx ABC.xxxA .xxx xx AB.xxx x AB.xxx x AB.xxx x AB.xxx x0.xxx xxx A .xxx xx A .xxx xx A .xxx xx A .xxx xx

0.0xx xxx x 0.xxx xxx 0.xxx xxx 0.xxx xxx 0.xxx xxx

BPV Volumes

SI Unit USC Unit


41

Table 12 - BPV Volumes

Table 13 - Unit Conversion

Pipe Dimensions mm = inch x 25.4 XXX.xx

Temperature - Ttm, T °C = ( °F - 32 ) x 5/9 XX.xxx °C

kPag = psig x 6.894 757 X XXX.0 kPagkPag = barg x 1.00 E+02 X XXX.0 kPag

Thermal Expansion - GC, GL per °C = per °F x 1.8 0.000 0xx xx

Modulus of Elasticity per kPa = per psi x 6.894 757 XXX XXX XXX

ConstantsN1 1.638 706 E-05 m3/in3

N2 16.387 06 mL/in3

N3 1.00 E-06 m3/mL

VolumeBMV, CPV mL = in3 x 16.387 06 X XXX XXX.xxxBMV, CPV in3 = mL / 16.387 06 X XXX XXX.xxx x

BPV (mL) divided by 1,000,000 m3

BPV (mL) divided by 1,000 liters

BPV (inch3) divided by 9,702 Bbls

BPV (inch3) divided by 231 U.S.gallons

BPV (inch3) divided by 1,728 ft3

Pressure - Pp

Unit Conversion


42

10. Typical Steel Properties

The prover owner should obtain the steel properties (GCp, GLp, GLd, E) from the original manufacturer. However, it is common practice to employ the prover steel properties contained in the following tables for field application.

Note: The cubical coefficient of expansion (GC) is equal to the three times the linear coefficient of expansion (GL). The GC and GL values listed in Table 13 are valid over a range of 0 to 100 °C (32 to 212 °F).

The following Typical Steel Properties Tables are presented for informational purposes –

Table 14 - Typical Steels’ Modulus of Elasticity

USC Unit(per kPa) (per bar) (per psi)

Mild Carbon 206 842 710 2 068 427 30 000 000300 Series Stainless 193 053 196 1 930 532 28 000 000

304 Stainless 193 053 196 1 930 532 28 000 000316 Stainless 193 053 196 1 930 532 28 000 000

17-4PH Stainless 196 500 575 1 965 006 28 500 000

Modulus of Elasticity - E

SI Unit USC Unit(per °C) (per °F)

Linear Coefficient, GLMild Carbon 0.000 011 16 0.000 006 20

300 Series Stainless 0.000 015 90 0.000 008 83304 Stainless 0.000 017 28 0.000 009 60316 Stainless 0.000 016 02 0.000 008 90

17-4PH Stainless 0.000 010 80 0.000 006 00InvarTM 0.000 001 44 0.000 000 80

Cubical Coefficient, GCMild Carbon 0.000 033 48 0.000 018 60

300 Series Stainless 0.000 047 70 0.000 026 50304 Stainless 0.000 051 84 0.000 028 80316 Stainless 0.000 048 06 0.000 026 70

17-4PH Stainless 0.000 032 40 0.000 018 00InvarTM 0.000 004 32 0.000 002 40

Coefficients of Thermal Expansion - GL, GC


43

Table 15 - Typical Steels’ Coefficient of Thermal Expansion)

11. Process Maps – Base Prover Volume Calculations

Process Maps have been prepared to assist the user of this standard to fully comprehend the complexity associated with -

Recording of Data Rounding Rules Rounding and Discrimination Levels Equations Sequence of Events (as specified in API MPMS Chapter 4.9.2) Criteria for Acceptance (as specified in API MPMS Chapter 4.9.2) Documentation

Four Process Maps have been prepared for calibrating provers using the Waterdrawn Volumetric Method -

SI Process Map - Waterdraw Volumetric Method for Displacement Prover USC Process Map - Waterdraw Volumetric Method for Displacement Prover SI Process Map - Waterdraw Volumetric Method for Open Tank Prover USC Process Map - Waterdraw Volumetric Method for Open Tank Prover

Eight (8) examples have been prepared clarify the process, four (4) in SI Units, and, four (4) in USC Units -

Unidirectional Displacement Prover - Integral Detector Design Bidirectional Displacement Prover - Integral Detector Design Unidirectional Displacement Prover - External Detector Design Open Tank Prover

The presented examples depict the required documentation for a proper Audit Trail.


44

SI Process Map - Waterdraw Volumetric Method for Displacement Prover


45

TMVtp_si = BMVa_si x CTStm x CPStm

TMVtp_si X XXX XXX.xxx mL at Ttm and 0.0 kPag

BMVa_si XXX XXX.xxx mL at Ttm and 0.0 kPag

CTStm X.xxx xxx -

CPStm 1.000 000 -

BMVa_si = BMVsi + SRsi

BMVa_si XXX XXX.xxx mL at Ttm and 0.0 kPag

BMVsi XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

SRsi XXX.xx mL at Ttm and 0.0 kPag

CTStm = { 1 + [ (Ttm - Tb) x GLtm ] }^3

CTStm X.xxx xxx -

GLtm 0.xxx xxx xx per °C

Tb 15.000 °C

Ttm XX.xxx °C

Mtm = ( TMVtp_si ) x ( RHOWtm x N3 x CPLtm )

Mtm XXX.xxx xxx kg

TMVtp_si X XXX XXX.xxx mL at Ttm and 0.0 kPag

RHOWtm X XXX. xxx kg/m3 at Ttm and 0.0 kPagN3 1.00E-06 m3/mL

CPLtm 1.000 000 -

RHOWtm ~ f ( Ttm, Patterson Correlation )

RHOWtm X XXX. xxx kg/m3 at Ttm and 0.0 kPagTtm XX.xxx °C

Mpass = ∑n MtmMpass X XXX.xxx xxx kg

Mtm XXX.xxx xxx kg

n X no. of test measures for Pass

Conservation of Mass Principle

The Conservation of Mass Principle is the basis for calibrating provers and flowmeters. Assuming no leaks and a constant line pack between Prover and Test Measures' Calibration Rig. Then Conservation of Mass Principle, Mpass = ∑n Mtm, and Mtrip = Mpass_out + Mpass_back, is valid.

Mas

s in

a T

est

Mea

sure

Fo

r T

est

Mea

sure

s in

mL

at

15.0

00 °

C

When BMV is in mL at 15.000 °C and 0.0 kPag, and, Ttm is measured in °C, then -

from certificate

Mas

s fo

r a

Pas

s

When BMV is in mL at 15.000 °C and 0.0 kPag, and, Ttm is measured in °C, Tp is measured in °C, Pp is measured in kPag, then -


46


47

SI Process Map - Waterdraw Volumetric Method for Displacement Prover (continued)


48

CPVsi_pass = ( ∑n Mtm ) / ( CTSp x CPSp x RHOWp x N3 x CPLp )CPVsi_pass XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

Mtm X XXX.xxx xxx kg


CTSp X.xxx xxx -

CPSp X.xxx xxx -

RHOWp X XXX. xxx kg/m3 at Tp and 0.0 kPagCPLp X.xxx xxx -

N3 1.00E-06 m3/mL

CTSp = { 1 + [ ( Tp - Tb ) x GLp ] }^3

CTSp = { 1 + [ ( Tp - Tb ) x ( 2 x GLp ) ] } x { 1 + [ ( Td - Tb ) x GLd ] }

CTSp X.xxx xxx -

GLd 0.xxx xxx xx per °C

GLp 0.xxx xxx xx per °C

Tb 15.000 °C

Td XX.xxx °C

Tp XX.xxx °C

CPSp = { 1 + [ ( Pp x ID ) / ( E x WT ) ] }

CPSp X.xxx xxx -

Pp XX XXX.0 kPag

ID XXX.xx mm

E XXX XXX XXX per kPa

WT XX.xx mm

RHOWp ~ f ( Tp, Patterson Correlation )

RHOWp X xxx.xxx kg/m3 at Tp and 0.0 kPagTp XX.xxx °C

CPLp = 1 / [ 1 - ( Pp x Fp ) ]

CPLp X.xxx xxx -

Pp XXX.0 kPag

Fp 0.000 000 xxx per kPa

Fp ~ f ( Tp, Tanaka Correlation )


Tp XX.xxx °C

CPVsi_trip = CPVsi_out + CPVsi_back

CPVsi_trip XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

n X For a 'Roundtrip' or Calibration Run

CPVsi_out XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

CPVsi_back XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

Prover Design

CP

V D

eter

min

atio

n f

or

a P

ass

and

'Ro

un

dtr

ip' o

r C

alib

rati

on

Ru

n


49


50



51

Avg CPVsi_trip = ( ∑n CPVsi_trip ) / nAvg CPVsi_trip XXX XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

n X No. of 'Roundtrips' or Calibration Runs

CPVsi_trip XXX XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

Avg CPVsi_out = ( ∑n CPVsi_out ) / nAvg CPVsi_out XXX XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

CPVsi_out XXX XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

n X No. of 'Out' Passes

Avg CPVsi_back = ( ∑n CPVsi_back ) / nAvg CPVsi_back XXX XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

CPVsi_back XXX XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

n X No. of 'Back' Passes

BPVsi_15 = Avg CPVsi_trip

BPVsi XXX XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

Avg CPVsi_trip XXX XXX XXX.xxx mL at 15.000 °C and 0.0 kPag

BPVusc_60 = BPVsi_15 x CTSp_60 / N2

BPVusc_60 X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigMtm X XXX.xxx xxx kg

CTSp_60 X.xxx xxx -

N2 16.387 06 mL/in3

CTSp_60 = { 1 + [ ( Tp - Tb ) x GLp ] }^3

CTSp_60 = { 1 + [ ( Tp - Tb ) x GLp ] }^2 x { 1 + [ ( Td - Tb ) x GLd ] }

CTSp X.xxx xxx -



Tb 15.000 °C

Td 15.556 °C

Tp 15.556 °C


BPVsi_20 XXX XXX XXX.xxx mL at 20.00 °C and 0.0 kPag

BPVusc_60 X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigCTSp_20 X.xxx xxx -

N2 16.387 06 mL/in3

CTSp_20 = { 1 + [ ( Tp - Tb ) x GLp ] }^3


CTSp X.xxx xxx -



Tb 15.556 °C

Td 20.000 °C

Tp 20.000 °C

Avg

CP

V D

eter

min

atio

nB

PV

Det

erm

inat

ion

Prover Design

Prover Design


52


X XXX XXX.xxx

X XXX XXX.xxx x

XX.xxx °C

X XXX.0 kPag

XXX.xx barg

0.000 0xx xx

XXX XXX XXX

ID = [ OD - ( 2 x WT ) ] ,or, OD = [ ID + ( 2 x WT ) ]

ID XX.xxx

OD XX.xxx

WT X.xxx

ID XXX.xx

OD XXX.xx

WT XXX.xx

Constants for USC and SI Methods

N1 m3/in3

N2 mL/in3

N3 m3/mL

Conversion Formulae

VolumesmL = in3 x 16.387 06

in3 = mL / 16.387 06

For Ttm, Tp -

For Pp -

For GC, GL - per °C = per °F x 1.8

mm = inch x 25.4

°C = ( °F - 32 ) x 5/9

kPag = psig x 6.894 757

kPag = barg x 1.00 E-02

per kPa = per psi x 6.894 757

1.638 706 E-05

16.387 06

1.00 E-06

mm = inch x 25.4

For E -

inch

inch

inch

mm = inch x 25.4


53

USC Process Map - Waterdraw Volumetric Method for Displacement Prover


54

TMVtp_usc = BMVa_usc x CTStm x CPStm

TMVtp_usc X XXX XXX.xxx x in3 at Ttm and 0.0 psigBMVa_usc XXX XXX.xxx x in3 at Ttm and 0.0 psig

CTStm X.xxx xxx -

CPStm 1.000 000 -

BMVa_usc = BMVusc + SRusc

BMVa_usc XXX XXX.xxx x in3 at Ttm and 0.0 psigBMVusc XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig

SRusc XXX.xx in3 at Ttm and 0.0 psig


CTStm X.xxx xxx -

GLtm 0.xxx xxx xx per °F

Tb 60.00 °F

Ttm XX.xx °F

Mtm = ( TMVtp_usc ) x ( RHOWtm x N1 x CPLtm )

Mtm XXX.xxx xxx kg

TMVtp_usc X XXX XXX.xxx in3 at Ttm and 0.0 psigRHOWtm X XXX. xxx kg/m3 at Ttm and 0.0 kPag

N1 1.638 706 E-05 m3/in3

CPLtm 1.000 000 -

RHOWtm ~ f ( Ttm, Patterson Correlation )

RHOWtm X XXX. xxx kg/m3 at Ttm and 0.0 kPagTtm XX.xx °F

Ttm XX.xxx °F converted to °C


Mtm XXX.xxx xxx kg



The Conservation of Mass Principle is the basis for calibrating provers and flowmeters. Assuming no leaks and a constant line pack between Prover and Test Measures' Calibration Rig. Then Conservation of Mass Principle, Mpass = ∑n Mtm, and Mtrip = Mpass_out + Mpass_back, is valid.

When BMV is in inches3 at 60.00 °F and 0.0 psig, and, Ttm is measured in °F, then -

from certificate

When BMV is in inches3 at 60.00 °F and 0.0 psig, and, Ttm is measured in °F, Tp is measured in °F, Pp is measured in psig, then -

Fo

r T

est

Mea

sure

s in

in

ches

3 at

60.0

0 °F

Mas

s in

a T

est

Mea

sure

Mas

s fo

r a

Pas

s


55


56

USC Process Map - Waterdraw Volumetric Method for Displacement Prover (continued)


57

CPVusc_pass = ( ∑n Mtm ) / [ CTSp x CPSp x ( RHOWp x N1 x CPLp ) ]CPVusc_pass X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig

Mtm XXX.xxx xxx kg


CTSp X.xxx xxx -

CPSp X.xxx xxx -

RHOWp X XXX. xxx kg/m3 at Tp and 0.0 kPagCPLp X.xxx xxx -

N1 1.638 706 E-05 m3/in3

CTSp = { 1 + [ ( Tp - Tb ) x GLp ] }^3

CTSp = { 1 + [ ( Tp - Tb ) x ( 2 x GLp ) ] } x { 1 + [ ( Td - Tb ) x GLd ] }

CTSp X.xxx xxx -

GLd 0.xxx xxx xx per °F

GLp 0.xxx xxx xx per °F

Tb 60.00 °F

Td XX.xx per °F

Tp XX.xx per °F

CPSp = { 1 + [ ( Pp x ID ) / ( E x WT ) ] }

CPSp X.xxx xxx -

Pp XX XXX.0 psig

ID XXX.xxx inch

E XX XXX XXX per psi

WT X.xxx inch

RHOWp ~ f ( Tp, Patterson Correlation ) x N2

RHOWp X XXX. xxx kg/m3 at Tp and 0.0 kPagTp XX.xxx °F converted to °C

CPLp = 1 / [ 1 - ( Pp x Fp ) ]

CPLp X.xxx xxx -

Pp XXX.0 psig converted to kPag


Fp ~ f ( Tp based on Tanaka Correlation )


Tp XX.xxx °F converted to °C

CPVusc_trip = CPVusc_out + CPVusc_back

CPVusc_trip X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psign X For a 'Roundtrip' or Calibration Run

CPVusc_out X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigCPVusc_back X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig

Prover Design

CP

V D

eter

min

atio

n f

or

a P

ass

and

'Ro

un

dtr

ip' o

r C

alib

rati

on

Ru

n


58



59

Avg CPVusc_trip = ( ∑n CPVusc_trip ) / nAvg CPVusc_trip X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig

n X No. of 'Roundtrips' or Calibration Runs

CPVusc_rt X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig

Avg CPVusc_out = ∑n CPVusc_out / nAvg CPVusc_out X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig

CPVusc_out X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psign X No. of 'Out' Passes

Avg CPVusc_back = ∑n CPVusc_back / nAvg CPVusc_back X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig

CPVusc_back X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psign X No. of 'Back' Passes

BPVusc_60 = Avg CPVusc_trip

BPVusc X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigAvg CPVusc_trip X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig


BPVsi_15 XX XXX XXX.xxx mL at 15.00 °C and 0.0 kPag

BPVusc X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigCTSp_15 X.xxx xxx -

N2 16.387 06 mL/in3

CTSp_15 = { 1 + [ ( Tp - Tb ) x GLp ] }^3


CTSp_15 X.xxx xxx -



Tb 60.00 °F

Td 59.00 °F

Tp 59.00 °F




N2 16.387 06 mL/in3

CTSp_20 = { 1 + [ ( Tp - Tb ) x GLp ] }^3


CTSp_20 X.xxx xxx -



Tb 60.00 °F

Td 68.00 per °F

Tp 68.00 per °F

BP

V D

eter

min

atio

nA

vg C

PV

Det

erm

inat

ion

Prover Design

Prover Design


60


X XXX XXX.xxx

X XXX XXX.xxx x

XX.xxx °C

X XXX.0 kPag

XXX.xx barg

0.000 0xx xx

XXX XXX XXX


ID XX.xxx

OD XX.xxx

WT X.xxx

ID XXX.xx

OD XXX.xx

WT XXX.xx


N1 m3/in3

N2 mL/in3

N3 m3/mL

kPag = psig x 6.894 757


per kPa = per psi x 6.894 757

mL = in3 x 16.387 06

For E -

Volumes

For Ttm, Tp -

For Pp -

For GC, GL -

in3 = mL / 16.387 06

°C = ( °F - 32 ) x 5/9

per °C = per °F x 1.8

Conversion Formulae

1.00 E-06

inch

mm = inch x 25.4

mm = inch x 25.4

1.638 706 E-05

16.387 06

mm = inch x 25.4

inch

inch


61

SI Process Map - Waterdraw Volumetric Method for Open Tank Prover


62


TMVtp_usc X XXX XXX.xxx x mL at Ttm and 0.0 kPag

BMVa_usc XXX XXX.xxx x mL at Ttm and 0.0 kPag

CTStm X.xxx xxx -

CPStm 1.000 000 -


BMVa_usc XXX XXX.xxx x mL at Ttm and 0.0 kPag

BMVusc XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

SRusc XXX.xx mL at Ttm and 0.0 kPag


CTStm X.xxx xxx -

GLtm 0.xxx xxx xx per °C

Tb 15.00 °C

Ttm XX.xx °C


Mtm XXX.xxx xxx kg

TMVtp_usc X XXX XXX.xxx mL at Ttm and 0.0 kPag

RHOWtm X XXX. xxx kg/m3 at Ttm and 0.0 kPagN3 1.00E-06 m3/mL

CPLtm 1.000 000 for Open Tank Prover

RHOWtm ~ f ( Ttm, Patterson-Morris Correlation )

RHOWtm X XXX. xxx kg/m3 at Ttm and 0.0 kPagTtm XX.xxx °C


Mtm XXX.xxx xxx kg



The Conservation of Mass Principle is the basis for calibrating provers and flowmeters. Assuming no leaks and a constant line pack between Open Tank Prover and Test Measures' Calibration Rig, then Conservation of Mass Principle, Mpass = ∑n Mtm, and Mtrip = Mpass_out, is valid.

Fo

r T

est

Mea

sure

s in

in

ches

3 a

t 60

.00

°F

When BMV is in mL at 15.00 °C and 0.0 kPag, and, Ttm is measured in °C, then -

from certificate

Mas

s in

a T

est

Mea

sure

Mas

s fo

r a

Pas

s

When BMV is in mL at 15.00 °C and 0.0 kPag, and, Ttm is measured in °C, Tp is measured in °C, Pp is measured in kPag, then -


63

SI Process Map - Waterdraw Volumetric Method for Open Tank Prover (continued)


64

CPVusc_trip = CPVusc_out = ( Mpass ) / [ CTSp x CPSp x ( RHOWp x CPLp ) x N3 ]

CPVusc_trip X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

CPVusc_out X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

Mpass X XXX.xxx xxx kg

CTSp X.xxx xxx -

CPSp 1.000 000 for Open Tank Prover

RHOWp X XXX. xxx kg/m3 at Tp and 0.0 kPagCPLp 1.000 000 for Open Tank Prover

N3 1.00E-06 m3/mL

CTSp = { 1 + [ ( Tp - Tb ) x GLp ] }^3

CTSp X.xxx xxx -



Tb 60.00 °F

Td XX.xx per °F

Tp XX.xx per °F


RHOWp X XXX. xxx kg/m3 at Tp and 0.0 kPagTp XX.xxx °C

BPVtag Check = CPVusc_trip - (Upper Scale - Lower Scale) + BPVtag

BPVtag Check X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

CPVusc_trip X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

Upper Scale X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

Lower Scale X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

BPVtag X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

Upper (or Lower) Scale = Upper (or Lower) Scalegals x N5

Upper (or Lower) Scale X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

Upper (or Lower) Scalegals XX.xx L at 15.00 °C and 0.0 kPag

N5 1.00E+03 mL/L

BPVtag = ( BPVtag in Liters ) x N5 = BPVtag in mL

BPVtag X XXX XXX.xx L at 15.00 °C and 0.0 kPag


N5 1.00E+03 mL/L

ΔBPVtag = Avg BPVtag Check - BPVtag

ΔBPVtag X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

BPVtag Check X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag


Scale Adjustment = ΔBPVtag / N5

Scale Adjustment XX.xx L at 60.0 °F and 0.0 psig

ΔBPVtag X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigN5 1.00E+03 mL/L

Min

imu

m o

f T

wo

(2)

Co

nse

cuti

ve C

alib

rati

on

Ru

ns

Ad

just

Sca

le


65


BPVnew = CPVusc_trip - (Upper Scale - Lower Scale) + BPVtag

BPVnew X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

Upper Scale X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

Lower Scale X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag


Upper (or Lower) Scale = Upper (or Lower) ScaleLiters x N5

Upper (or Lower) Scale X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

Upper (or Lower) ScaleLiters XX.xx L at 60.0 °F and 0.0 psig

N5 1.00E+03 mL/L

BPVSI-15 = Avg CPVusc_trip

BPVSI_15 X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

Avg CPVusc_trip X XXX XXX.xxx x mL at 15.00 °C and 0.0 kPag

BPVUSC_60 = BPVsi_15 x CTSp_60 x N2

BPVUSC_60 X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigBPVSI_15 XX XXX XXX.xxx mL at 15.00 °C and 0.0 kPag

CTSp_60 X.xxx xxx -

N2 16.387 06 mL/in3

CTSp_60 = { 1 + [ ( Tp - Tb ) x GLp ] }^3

CTSp_60 X.xxx xxx -


Tb 15.000 °C

Tp 15.556 °C

BPVSI_20 = BPVSI-15 x CTSp_20

BPVSI_20 XX XXX XXX.xxx mL at 20.00 °C and 0.0 kPag

BPVSI_15 XX XXX XXX.xxx mL at 15.00 °C and 0.0 kPag

CTSp_20 X.xxx xxx -

CTSp_20 = { 1 + [ ( Tp - Tb ) x GLp ] }^3

CTSp_20 X.xxx xxx -


Tb 15.000 °C

Tp 20.000 °C

Fin

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66


X XXX XXX.xxx

X XXX XXX.xxx x

XX.xxx °C

X XXX.0 kPag

XXX.xx barg

0.000 0xx xx

XXX XXX XXX


ID XX.xxx

OD XX.xxx

WT X.xxx

ID, OD, WT XXX.xx


N1 m3/in3

N2 mL/in3

N3 m3/mLN4 in3 per GallonN5 mL/L

mm = inch x 25.4

1.638 706 E-05

1.00E+03

16.387 06

1.00 E-06

231.000 0

°C = ( °F - 32 ) x 5/9

For Pp -

inch

inch

inch


For E - per kPa = per psi x 6.894 757

For Ttm, Tp -

kPag = psig x 6.894 757


Miscellaneous Formulae and Constants


in3 = mL / 16.387 06


67

USC Process Map - Waterdraw Volumetric Method for Open Tank Prover


68


TMVtp_usc X XXX XXX.xxx x in3 at Ttm and 0.0 psigBMVa_usc XXX XXX.xxx x in3 at Ttm and 0.0 psig

CTStm X.xxx xxx -

CPStm 1.000 000 -


BMVa_usc XXX XXX.xxx x in3 at Ttm and 0.0 psigBMVusc XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig

SRusc XXX.xx in3 at Ttm and 0.0 psig


CTStm X.xxx xxx -

GLtm 0.xxx xxx xx per °F

Tb 60.00 °F

Ttm XX.xx °F


Mtm XXX.xxx xxx kg

TMVtp_usc X XXX XXX.xxx in3 at Ttm and 0.0 psigRHOWtm X XXX. xxx kg/m3 at Ttm and 0.0 kPag

N1 1.638 706 E-05 m3/in3

CPLtm 1.000 000 for Open Tank Prover

RHOWtm ~ f ( Ttm, Patterson-Morris Correlation )

RHOWtm X XXX. xxx kg/m3 at Ttm and 0.0 kPagTtm XX.xx °F

Ttm XX.xxx °F converted to °C


Mtm XXX.xxx xxx kg



The Conservation of Mass Principle is the basis for calibrating provers and flowmeters. Assuming no leaks and a constant line pack between Open Tank Prover and Test Measures' Calibration Rig, then Conservation of Mass Principle, Mpass = ∑n Mtm, and Mtrip = Mpass_out, is valid.

Fo

r T

est

Mea

sure

s in

in

ches

3 a

t 60

.00

°F

When BMV is in inches3 at 60.00 °F and 0.0 psig, and, Ttm is measured in °F, then -

from certificate

Mas

s in

a T

est

Mea

sure

Mas

s fo

r a

Pas

s

When BMV is in inches3 at 60.00 °F and 0.0 psig, and, Ttm is measured in °F, Tp is measured in °F, Pp is measured in psig, then -


69

USC Process Map - Waterdraw Volumetric Method for Open Tank Prover (continued)


70

CPVusc_trip = CPVusc_out = ( Mpass ) / [ CTSp x CPSp x ( RHOWp x CPLp ) x N1 ]

CPVusc_trip X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigCPVusc_out X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig

Mpass X XXX.xxx xxx kg

CTSp X.xxx xxx -

CPSp 1.000 000 for Open Tank Prover

RHOWp X XXX. xxx kg/m3 at Tp and 0.0 kPagCPLp 1.000 000 for Open Tank Prover

N1 1.638 706 E-05 m3/in3

CTSp = { 1 + [ ( Tp - Tb ) x GLp ] }^3

CTSp X.xxx xxx -



Tb 60.00 °F

Td XX.xx per °F

Tp XX.xx per °F


RHOWp X XXX. xxx kg/m3 at Tp and 0.0 kPagTp XX.xxx °F converted to °C

BPVtag Check = CPVusc_trip - (Upper Scale - Lower Scale) + BPVtag

BPVtag Check X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigCPVusc_trip X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigUpper Scale X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigLower Scale X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig

BPVtag X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig


Upper (or Lower) Scale X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigUpper (or Lower) Scalegals XX.xx Gallons at 60.0 °F and 0.0 psig

N4 231.000 0 in3 per Gallon

BPVtag = ( BPVtag in Gallons ) x N4 = BPVtag in in3

BPVtag X XXX XXX.xx Gallons at 60.0 °F and 0.0 psig

BPVtag X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigN4 231.000 0 in3 per Gallon

ΔBPVtag = Avg BPVtag Check - BPVtag

ΔBPVtag X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigBPVtag Check X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig


Scale Adjustment = ΔBPVtag / N4

Scale Adjustment XX.xx Gallons at 60.0 °F and 0.0 psig

ΔBPVtag X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigN4 231.000 0 in3 per Gallon

Min

imu

m o

f T

wo

(2)

Co

nse

cuti

ve C

alib

rati

on

Ru

ns

Ad

just

Sca

le


71


BPVnew = CPVusc_trip - (Upper Scale - Lower Scale) + BPVtag

BPVnew X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigUpper Scale X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigLower Scale X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig



Upper (or Lower) Scale X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigUpper (or Lower) Scalegals XX.xx Gallons at 60.0 °F and 0.0 psig

N4 231.000 0 in3 per Gallon

BPVusc_60 = Avg CPVusc_trip

BPVusc X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psigAvg CPVusc_trip X XXX XXX.xxx x in3 at 60.0 °F and 0.0 psig




N2 16.387 06 mL/in3

CTSp_15 = { 1 + [ ( Tp - Tb ) x GLp ] }^3

CTSp_15 X.xxx xxx -


Tb 60.00 °F

Tp 59.00 °F




N2 16.387 06 mL/in3

CTSp_20 = { 1 + [ ( Tp - Tb ) x GLp ] }^3

CTSp_20 X.xxx xxx -


Tb 60.00 °F

Tp 68.00 per °F

Fin

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Det

erm

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ion


72


X XXX XXX.xxx

X XXX XXX.xxx x

XX.xxx °C

X XXX.0 kPag

XXX.xx barg

0.000 0xx xx

XXX XXX XXX


ID XX.xxx

OD XX.xxx

WT X.xxx

ID, OD, WT XXX.xx


N1 m3/in3

N2 mL/in3

N3 m3/mLN4 in3 per Gallon

mm = inch x 25.4

1.638 706 E-05

16.387 06

1.00 E-06

231.000 0

°C = ( °F - 32 ) x 5/9

For Pp -

inch

inch

inch


For E - per kPa = per psi x 6.894 757

For Ttm, Tp -

kPag = psig x 6.894 757


Miscellaneous Formulae and Constants


in3 = mL / 16.387 06


73

Appendix A - BPV SI Unit Examples

A-1 Unidirectional Displacement Prover - Integral Detector Design A-2 Bidirectional Displacement Prover - Integral Detector Design A-3 Unidirectional Displacement Prover - External Detector Design A-4 Open Tank Prover


74

A-1 Unidirectional Displacement Prover - Integral Detector Design


75

Calibration Date 21-Nov-17

Owner

Geographic Location

Manufacturer

Serial Number

Prover Design 2 (1-bidirectional, 2-unidirectional)

Displacer Design 1 (1-sphere, 2-piston)

Detector Mounting Design 1 (1-in callibrated section, 2-on an external shaft)

Type of Steel for Prover Wall 1 (1-carbon steel, 2-stainless 304, 3-stainless 316, 4-stainless 17-4 PH )

Internal Diameter (ID) 202.72 mm

Wall Thickness (WT) 8.18 mm

Type of Material for Rod (1-carbon, 2-stainless 304, 3-stainless 316, 4-stainless 17-4 PH, 5-Invar )

Old Base Prover Volume (BPVold) 209,018.053 mL @ 15°C and 0 kPag

Outside Diameter (OD) 219.08 mm

Coefficient of Linear Expansion, GLp 0.000 011 16 per °C - carbon steel

Linear Expansion of Rod, GLd

Modulus of Elasticity, E 206,842,710 per kPa - carbon steel

unidirectional prover

sphere displacer

detectors mounted in calibrated section

carbon steel wall material

NA

Pass 1 = Run 1, Pass 2 = Run 2, Pass 3 = Run 3

CPVsi_out CPVsi_back CPVsi_15 CPVsi_20 CPVusc_60 QavmL at 15 °C mL at 15 °C mL at 15 °C mL at 20 °C in3 at 60 °F Liters / min

Run 1 209,020.891 0.000 209,020.891 209,056.007 12,755.4828 151

Run 2 209,015.949 0.000 209,015.949 209,051.064 12,755.1812 112

Run 3 209,012.715 0.000 209,012.715 209,047.830 12,754.9839 151

Average 209,016.518 209,016.518 209,051.634 12,755.2160 132

Range (%) 0.004 0.004 0.004 0.004 35

Range Criteria Met (R <= 0.020%)? BPVusc_60 12,755.2160 in3 @ 60°F and 0 psig

"Out" Criteria? Pass BPVsi_15 209,016.518 mL @ 15.00°C and 0.0 kPag

"Back" Crieria? NA BPVsi_20 209,051.634 mL @ 20.00°C and 0.0 kPag

CPV Criteria? Pass BPVold 209,018.0530 mL @ 15°C and 0.0 kPag

ΔBPV (1.535) mL @ 15°C and 0.0 kPag

ΔQav Criteria Met (ΔQav ≥ 25%)? Pass ΔBPV% (0.001) % BPVnew Larger / (Smaller)

U.S. Gallons Barrels Cubic Feet Liters Cubic Meters Liters Cubic Meters

- - - - - - -

- - - 209.017 - 209.052 -

55.217 4 - - - - - -

- 1.314 70 7.381 49 - - - -

- - - - 0.209 017 - 0.209 052

- - - - - - -

Calibration Company

Calibration Technician

Reference Number 1 2 3 4 5

Nominal Capacity 189 114 19 189 76 Liters

Base Measure Volume (BMV) 189,295.1236 113,583.1374 18,930.8233 189,234.4915 75,624.1516 mL

Coefficient of Cubical Expansion, GCtm 0.000 047 70 0.000 047 70 0.000 047 70 0.000 047 70 0.000 047 70 per °C

NIST Seal Number aaa bbb ccc ddd eee

Base Temperature, Tb 15.0 15.0 15.0 15.0 15.0 °C



Base Measure Volume (BMV) 56,751.9939 378,779.5177 757,483.3272 757,516.7568 1,893,935.6066 mL


NIST Seal Number fff ggg hhh iii jjj


Version 1.2

Test

Mea

sure

Dat

a

@ 15°C and 0 kPag

A Calibration Company

A Calibration Technician

API MPMS Chapter 12.2 Part 4

Example A-1 SI - New Approach

ABC-10567

@ 60°F and 0 psig

BPVnew

@ 20°C and 0.0 kPag

Gen

eral

Info

Dis

plac

emen

t Pro

ver

Dat

aC

alib

ratio

n S

umm

ary

API MPMS


76

A-1 Unidirectional Displacement Prover - Integral Detector Design (continued)


77

"Out Data" Run No. 1

Weather Cloudy RHOWp 995.597 kg/m3

Ambient 20 °C CTSp 1.000 508CPSp 1.000 072

Qav 151 lpm Fp 0.000 000 447 per kPaPp 600.0 kPag Pp_Out_1 600.0 kPag CPLp 1.000 268Tp 30.167 °C Tp_Out_1 30.167 °CTd °C Td_Out_1 °C CPVusc 12,755.482 8 in3 at 60 °F

CPVsi_15 209,020.891 mL at 15 °CCPVsi_20 209,056.007 mL at 20 °C

Fill Ref SR Ttm Rnd'd Ttm BMV BMVa RHOWtm CTStm Mtm

No. No. mL °C °C mL mL kg/m3 kg

1 1 (58.4) 29.778 29.778 189295.1236 189236.7240 995.715 1.000 705 188.558 6852 3 858.2 29.722 29.722 18930.8233 19789.0230 995.732 1.000 702 19.718 3963 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 799.8 Mpass 208.277 081

"Back Data"

Weather RHOWp kg/m3

Ambient °C CTSp CPSp

Qav lpm Fp per kPaPp kPag Pp_Back_1 kPag CPLpTp °C Tp_Back_1 °CTd °C Td_Back_1 °C CPVusc 0.000 0 in3 at 60 °F

CPVsi_15 0.000 mL at 15 °CCPVsi_20 0.000 mL at 20 °C



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum - Mpass 0.000 000Version 1.2


78



79








1 1 (29.5) 30.167 30.167 189295.1236 189265.6240 995.597 1.000 723 188.568 5242 3 822.1 30.222 30.222 18930.8233 19752.9230 995.581 1.000 726 19.679 9123 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 792.6 Mpass 208.248 436

"Back Data"

Weather RHOWp kg/m3


Qav lpm Pp_Back_2 kPag Fp per kPaPp kPag Tp_Back_2 °C CPLpTp °C Td_Back_2 °CTd °C CPVusc 0.000 0 in3 at 60 °F




1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum - Mpass 0.000 000Version 1.2


80



81








1 1 (62.3) 30.667 30.667 189295.1236 189232.8240 995.445 1.000 747 188.511 5822 3 902.4 30.722 30.722 18930.8233 19833.2230 995.428 1.000 750 19.757 3523 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 840.1 Mpass 208.268 934

"Back Data"

Weather RHOWp kg/m3


Qav Fp per kPaPp Pp_Back_3 kPag CPLpTp Tp_Back_3 °CTd Td_Back_3 °C CPVusc 0.000 0 in3 at 60 °F




1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum - Mpass 0.000 000

Version 1.2


82

A-2 Bidirectional Displacement Prover - Integral Detector Design


83


Owner

Geographic Location

Manufacturer

Serial Number








Old Base Prover Volume (BPVold) 13,259,716.110 mL @ 15°C and 0 kPag


Coefficient of Linear Expansion, GLp 0.000 011 16 per °C - carbon steel

Linear Expansion of Rod, GLd

Modulus of Elasticity, E 206,842,710 per kPa - carbon steel

bidirectional prover

sphere displacer



NA

Passes 1 & 2 = Run 1, Passes 3 & 4 = Run 2, Passes 5 & 6 = Run 3


Run 1 6,628,254.552 6,627,355.177 13,255,609.729 13,257,836.709 808,922.5026 151

Run 2 6,629,133.774 6,628,516.644 13,257,650.418 13,259,877.741 809,047.0355 112

Run 3 6,627,927.725 6,627,237.742 13,255,165.467 13,257,392.373 808,895.3916 151

Average 6,628,438.684 6,627,703.188 13,256,141.871 13,258,368.941 808,954.9766 132

Range (%) 0.018 0.019 0.019 0.019 0.019 35


"Out" Criteria? Pass BPVsi_15 13,256,141.871 mL @ 15.00°C and 0.0 kPag

"Back" Crieria? Pass BPVsi_20 13,258,368.941 mL @ 20.00°C and 0.0 kPag

CPV Criteria? Pass BPVold 13,259,716.1100 mL @ 15°C and 0.0 kPag

ΔBPV (3574.239) mL @ 15°C and 0.0 kPag



3,501.97 - - - - - -

- - 468.145 - - - -

- 83.380 2 - - 13.256 1 - 13.258 4

- - - - - - -

- - - - - - -

- - - - - - -

Calibration Company














Version 1.2

Test

Mea

sure

Dat

a

@ 15°C and 0 kPag





ABC-10567

@ 60°F and 0 psig

BPVnew


Gen

eral

Info

Dis

plac

emen

t Pro

ver

Dat

aC

alib

ratio

n S

umm

ary

API MPMS


84


85

A-2 Bidirectional Displacement Prover - Integral Detector Design (continued)


86





CPVsi_15 6,628,254.552 mL at 15 °CCPVsi_20 6,629,368.117 mL at 20 °C



1 8 12.3 13.111 13.111 757483.3272 757495.6270 999.365 0.999 910 756.946 4862 9 566.1 13.111 13.111 757516.7568 758082.8570 999.365 0.999 910 757.533 2903 8 512.0 13.167 13.167 757483.3272 757995.3270 999.358 0.999 913 757.442 7914 9 412.1 13.111 13.111 757516.7568 757928.8570 999.365 0.999 910 757.379 4025 8 402.3 13.167 13.167 757483.3272 757885.6270 999.358 0.999 913 757.333 1716 9 285.9 13.167 13.167 757516.7568 757802.6570 999.358 0.999 913 757.250 2617 8 385.9 13.167 13.167 757483.3272 757869.2270 999.358 0.999 913 757.316 7838 9 315.4 13.167 13.167 757516.7568 757832.1570 999.358 0.999 913 757.279 7409 7 233.9 13.111 13.111 378779.5177 379013.4180 999.365 0.999 910 378.738 65510 1 959.9 13.111 13.111 189295.1236 190255.0240 999.365 0.999 910 190.117 10011 12 13 14 15 16 17 18 19 20 21

Sum 4,085.8 Mpass 6,627.337 679

"Back Data"



Qav 151 lpm Fp 0.000 000 471 per kPaPp 862.0 kPag Pp_Back_1 862.0 kPag CPLp 1.000 406Tp 13.389 °C Tp_Back_1 13.389 °CTd °C Td_Back_1 °C CPVusc 404,433.809 2 in3 at 60 °F




1 8 466.9 13.333 13.333 757483.3272 757950.2270 999.336 0.999 920 757.386 3522 9 176.9 13.389 13.389 757516.7568 757693.6570 999.329 0.999 923 757.126 9413 8 801.1 13.333 13.333 757483.3272 758284.4270 999.336 0.999 920 757.720 3044 9 412.8 13.389 13.389 757516.7568 757929.5570 999.329 0.999 923 757.362 6655 8 (326.8) 13.444 13.444 757483.3272 757156.5270 999.322 0.999 926 756.587 1836 9 613.6 13.444 13.444 757516.7568 758130.3570 999.322 0.999 926 757.560 2817 8 (767.6) 13.444 13.444 757483.3272 756715.7270 999.322 0.999 926 756.146 7158 9 1110.8 13.500 13.500 757516.7568 758627.5570 999.314 0.999 928 758.052 5559 7 (309.7) 13.556 13.556 378779.5177 378469.8180 999.307 0.999 931 378.181 44210 1 1237.0 13.556 13.556 189295.1236 190532.1240 999.307 0.999 931 190.386 94811 12 13 14 15 16 17 18 19 20 21

Sum 3,415.0 Mpass 6,626.511 386Version 1.2


87



88








1 8 112.3 13.444 13.444 757483.3272 757595.6270 999.322 0.999 926 757.025 9532 9 730.7 13.389 13.389 757516.7568 758247.4570 999.329 0.999 923 757.680 3273 8 (59.0) 13.500 13.500 757483.3272 757424.3270 999.314 0.999 928 756.850 2374 9 (440.8) 13.556 13.556 757516.7568 757075.9570 999.307 0.999 931 756.499 1015 8 403.0 13.500 13.500 757483.3272 757886.3270 999.314 0.999 928 757.311 8876 9 941.3 13.611 13.611 757516.7568 758458.0570 999.300 0.999 934 757.877 1137 8 325.3 13.778 13.778 757483.3272 757808.6270 999.277 0.999 942 757.216 8108 9 396.5 13.722 13.722 757516.7568 757913.2570 999.285 0.999 939 757.325 1499 7 712.7 13.889 13.889 378779.5177 379492.2180 999.262 0.999 947 379.192 05410 1 927.4 13.889 13.889 189295.1236 190222.5240 999.262 0.999 947 190.072 06511 12 13 14 15 16 17 18 19 20 21

Sum 4,049.4 Mpass 6,627.050 696

"Back Data"



Qav 112 lpm Fp 0.000 000 471 per kPaPp 600.0 kPag Pp_Back_2 600.0 kPag CPLp 1.000 283Tp 13.500 °C Tp_Back_2 13.500 °CTd °C Td_Back_2 °C CPVusc 404,504.687 6 in3 at 60 °F




1 8 466.9 13.500 13.500 757483.3272 757950.2270 999.314 0.999 928 757.375 7382 9 176.9 13.556 13.556 757516.7568 757693.6570 999.307 0.999 931 757.116 3313 8 801.2 13.500 13.500 757483.3272 758284.5270 999.314 0.999 928 757.709 7854 9 412.1 13.611 13.611 757516.7568 757928.8570 999.300 0.999 934 757.348 3195 8 (326.8) 13.778 13.778 757483.3272 757156.5270 999.277 0.999 942 756.565 2206 9 122.1 13.444 13.444 757516.7568 757638.8570 999.322 0.999 926 757.069 1517 8 (440.8) 13.389 13.389 757483.3272 757042.5270 999.329 0.999 923 756.476 2988 9 1271.4 13.889 13.889 757516.7568 758788.1570 999.262 0.999 947 758.187 9859 7 (309.7) 14.000 14.000 378779.5177 378469.8180 999.247 0.999 952 378.166 67710 1 1236.9 14.056 14.056 189295.1236 190532.0240 999.239 0.999 955 190.378 46211 12 13 14 15 16 17 18 19 20 21



89



90








1 8 112.3 13.444 13.444 757483.3272 757595.6270 999.322 0.999 926 757.025 9532 9 730.7 13.389 13.389 757516.7568 758247.4570 999.329 0.999 923 757.680 3273 8 (222.9) 13.500 13.500 757483.3272 757260.4270 999.314 0.999 928 756.686 4614 9 (276.9) 13.556 13.556 757516.7568 757239.8570 999.307 0.999 931 756.662 8765 8 403.0 13.500 13.500 757483.3272 757886.3270 999.314 0.999 928 757.311 8876 9 941.3 13.611 13.611 757516.7568 758458.0570 999.300 0.999 934 757.877 1137 8 325.3 13.778 13.778 757483.3272 757808.6270 999.277 0.999 942 757.216 8108 9 396.5 13.722 13.722 757516.7568 757913.2570 999.285 0.999 939 757.325 1499 7 712.7 13.889 13.889 378779.5177 379492.2180 999.262 0.999 947 379.192 05410 1 927.4 13.889 13.889 189295.1236 190222.5240 999.262 0.999 947 190.072 06511 12 13 14 15 16 17 18 19 20 21

Sum 4,049.4 6,627.050 695

"Back Data"

Weather RHOWp 999.329 kg/m3


Qav 151 Fp 0.000 000 471 per kPaPp 862.0 Pp_Back_3 862.0 kPag CPLp 1.000 406Tp 13.389 Tp_Back_3 13.389 °CTd Td_Back_3 °C CPVusc 404,426.642 7 in3 at 60 °F




1 8 466.9 13.500 13.500 757483.3272 757950.2270 999.314 0.999 928 757.375 7382 9 176.9 13.556 13.556 757516.7568 757693.6570 999.307 0.999 931 757.116 3313 8 801.2 13.500 13.500 757483.3272 758284.5270 999.314 0.999 928 757.709 7854 9 412.1 13.611 13.611 757516.7568 757928.8570 999.300 0.999 934 757.348 3195 8 (326.8) 13.778 13.778 757483.3272 757156.5270 999.277 0.999 942 756.565 2206 9 122.1 13.444 13.444 757516.7568 757638.8570 999.322 0.999 926 757.069 1517 8 (440.8) 13.389 13.389 757483.3272 757042.5270 999.329 0.999 923 756.476 2988 9 1271.4 13.889 13.889 757516.7568 758788.1570 999.262 0.999 947 758.187 9859 7 (309.7) 14.000 14.000 378779.5177 378469.8180 999.247 0.999 952 378.166 67710 1 1236.9 14.056 14.056 189295.1236 190532.0240 999.239 0.999 955 190.378 46211 12 13 14 15 16 17 18 19 20 21



91

A-3 Unidirectional Displacement Prover - External Detector Design


92


Owner

Geographic Location

Manufacturer

Serial Number







Type of Material for Rod 5 (1-carbon, 2-stainless 304, 3-stainless 316, 4-stainless 17-4 PH, 5-Invar )

Old Base Prover Volume (BPVold) 75,642.030 mL @ 15°C and 0 kPag


Coefficient of Linear Expansion, GLp 0.000 016 02 per °C - 316 stainless steel

Linear Expansion of Rod, GLd 0.000 001 44 per °C

Modulus of Elasticity, E 193,053,196 per kPa - 316 stainless steel


piston displacer

detectors mounted on an external shaft

316 stainless steel wall material

Invar Rod



Run 1 75,634.260 75,634.260 75,646.966 4,615.5745 151

Run 2 75,641.009 75,641.009 75,653.717 4,615.9864 112

Run 3 75,642.070 75,642.070 75,654.779 4,616.0512 151

Average 75,639.113 75,639.113 75,651.821 4,615.8707 132

Range (%) 0.010 0.010 0.010 0.010 35




CPV Criteria? Pass BPVold 75,642.0300 mL @ 15°C and 0.0 kPag

ΔBPV (2.917) mL @ 15°C and 0.0 kPag



- - - - - - -

- - - - - - -

19.982 1 - - 75.639 1 - 75.651 8 -

- - 2.671 22 - - - -

- 0.475 765 - - - - -

- - - - 0.075 639 1 - 0.075 651 8

Calibration Company














Version 1.2

Test

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@ 15°C and 0 kPag





ABC-10567

@ 60°F and 0 psig

BPVnew


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API MPMS


93

A-3 Unidirectional Displacement Prover - External Detector Design (continued)


94




Qav 151 lpm Fp 0.000 000 459 per kPaPp 255.0 kPag Pp_Out_1 255.0 kPag CPLp 1.000 117Tp 20.167 °C Tp_Out_1 20.167 °CTd 20.056 °C Td_Out_1 20.056 °C CPVusc 4,615.574 5 in3 at 60 °F




1 5 14.42 20.167 20.167 75624.1516 75638.5720 998.171 1.000 246 75.518 8022 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 14.42 Mpass 75.518 802

"Back Data"

Weather RHOWp kg/m3


Qav lpm Fp per kPaPp kPag Pp_Back_1 kPag CPLpTp °C Tp_Back_1 °CTd °C Td_Back_1 °C CPVusc in3 at 60 °F

CPVsi_15 mL at 15 °CCPVsi_20 0.000 mL at 20 °C



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 0.00 Mpass 0.000 000Version 1.2


95



96








1 5 18.52 20.222 20.222 75624.1516 75642.6720 998.160 1.000 249 75.522 2902 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 18.52 Mpass 75.522 290

"Back Data"

Weather RHOWp kg/m3


Qav lpm Fp per kPaPp kPag Pp_Back_2 kPag CPLpTp °C Tp_Back_2 °CTd °C Td_Back_2 0.000 °C CPVusc in3 at 60 °F




1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21



97



98








1 5 22.61 20.389 20.389 75624.1516 75646.7620 998.125 1.000 257 75.524 3292 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 22.61 Mpass 75.524 329

"Back Data"

Weather RHOWp kg/m3


Qav Fp per kPaPp Pp_Back_3 kPag CPLpTp Tp_Back_3 °CTd Td_Back_3 0.000 °C CPVusc in3 at 60 °F




1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21



99


100

A-4 Open Tank Prover


101

Calibration Date 8-Jan-19Owner

Geographic Location Manufacturer

Serial Number

Prover Design Open TankType of Steel for Prover Wall 1 ( 1-carbon, 2-stainless 304, 3-stainless 316 )

Internal Diameter (ID) 2,432.05 mmWall Thickness (WT) 3.180 mm

Old Base Prover Volume (BPVold) 3,785,338.939 mL at 15.00 °C and 0.0 kPagOutside Diameter (OD) 2,438.41 mm

Coefficient of Linear Expansion, GLp 0.000 011 16 per °CModulus of Elasticity, E 206,842,710 per kPa

carbon steel wall materialPass 1 = Run 1, Pass 2 = Run 2, Adjust Scale(s), Verification Pass 3 = Verification Run 3

CPVusc Upper Scale Lower Scale Upper Scale Lower Scale BPVtag CheckmL at 15.00 °C Liters (L) Liters (L) mL at 15.00 °C mL at 15.00 °C mL at 15.00 °C

Run 1 3,790,315.657 3,785.412 4.542 3,785,412.000 4,542.000 3,794,857.657Run 2 3,789,545.453 3,785.412 5.489 3,785,412.000 5,489.000 3,795,034.453

Avg 3,789,930.555 Avg 3,794,946.055

R% 0.005Calibration Range Criteria Met (R ≤ 0.020%)? PASS

BPVtag 3,785.412 Liters (L) ΔBPVtag 9,534.055 mL at 15.00 °CBPVtag 3,785,412.000 mL ΔBPVtag 0.252 %

Adjusted EITHER upper scale (only) OR lower scale (only) to meet BPVtag - Scale Adjustment L mL at 15.00 °CUpper 9.534 9,534.055 0

X Lower DOWN 9.534 9,534.055 0

CPVusc Upper Scale Lower Scale Upper Scale Lower Scale BPVnewmL at 15.00 °C Liters (L) Liters (L) mL at 15.00 °C mL at 15.00 °C mL at 15.00 °C

Run 3 3,785,472.976 3,785.412 (0.189) 3,785,412.000 (189.000) 3,785,283.976

ΔBPVtag (0.003) %Verification Range Criteria Met (R ≤ 0.010%)? PASS

BPVnew 3,785,283.976 mL @ 15.00°C and 0.0 kPag BPVold 3,785,338.939 0 mL @ 15.00°C and 0.0 kPag

BPVsi_20 3,785,916.119 mL @ 20.00°C and 0.0 kPag ΔBPV (54.963 0) mL @ 15.00°C and 0.0 kPag

BPVUSC_60 230,996.645 9 in3 @ 60°F and 0 psig ΔBPV% (0.001) % New BPV Larger / (Smaller)

U.S. Gallons Barrels Cubic Feet Liters Cubic Meters Liters Cubic Meters- - 2,190.56 3,785.92 - - -- 390.155 - - - 230.997 -- - - - - - -- - - - 3.785 92 - -- - - - - - 0.230 997- - - - - - -

Calibration Company Calibration Technician

Reference Number 1 2 3 4 5Nominal Capacity 100 100 5 50 20 gallons

BMV 378,514.8573 378,531.2439 18,930.3311 189,229.5714 75,622.1854 mLGLtm 0.000 015 90 0.000 015 90 0.000 015 90 0.000 015 90 0.000 015 90 per °C

NIST Seal Number aaa bbb ccc ddd eeeTb 15.000 15.000 15.000 15.000 15.000 °C


BMV 56,750.5184 378,769.6695 757,463.6327 757,497.0614 1,893,886.3643 mLGLtm 0.000 015 90 0.000 015 90 0.000 015 90 0.000 015 90 0.000 015 90 per °C

NIST Seal Number fff ggg hhh iii jjjTb 15.000 15.000 15.000 15.000 15.000 °C

API MPMS Chapter 12.4 Part 1Example A-4 USC UnitsAPI MPMSABC-10567

Fina

l Run

Adj

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cale

Cal

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tion

Run

sO

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Tank

Pro

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Dat

aG

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alTe

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easu

re D

ata

API WaterdrawCalibration Technician

BPVnew@ 60°F and 0.0 psig @ 15°C and 0.0 kPag @ 20°C and 0.0 kPag

Cal

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Sum

mar

y


102


103

A-4 Open Tank Prover (continued)

"Out Data" Calibration Run No. 1

Weather Partly Cloudy, Windy RHOWp 997.921 kg/m3

Ambient 16 °C CTSp 1.000 212Tp_Out_1 21.333 0 °C CPStm 1.000 000 CPSp 1.000 000Pp_Out_1 0.00 kPag CPLtm 1.000 000 CPLp 1.000 000

Qav 150 lpm CPVsi_15 3,790,315.657 mL at 15 °CTp 21.333 °C Tp_Out_1 70.40 °F CPVsi_20 3,790,948.640 mL at 20 °CPp 0.0 psig Pp_Out_1 0.0 psig CPVusc 231,303.703 8 in3 at 60 °F

Fill Ref SR Ttm Ttm BMV BMVa RHOWtm CTStm Mtm

No. No. mL °C °F mL mL kg/m3 kg

1 1 409.68 21.389 70.50 378,514.857 378,924.537 997.909 1.000 305 378.247 5362 2 409.68 21.389 70.50 378,531.244 378,940.924 997.909 1.000 305 378.263 8943 1 409.68 21.444 70.60 378,514.857 378,924.537 997.897 1.000 307 378.243 7444 2 409.68 21.444 70.60 378,531.244 378,940.924 997.897 1.000 307 378.260 1015 1 409.68 21.444 70.60 378,514.857 378,924.537 997.897 1.000 307 378.243 7446 2 409.68 21.444 70.60 378,531.244 378,940.924 997.897 1.000 307 378.260 1017 1 409.68 21.500 70.70 378,514.857 378,924.537 997.884 1.000 310 378.239 9518 2 409.68 21.556 70.80 378,531.244 378,940.924 997.872 1.000 313 378.252 8949 1 409.68 21.556 70.80 378,514.857 378,924.537 997.872 1.000 313 378.236 53710 2 1147.09 21.556 70.80 378,531.244 379,678.334 997.872 1.000 313 378.988 96511

Sum 4,834.21 Mpass 3,783.237 467



Ambient 60 °C CTSp 1.000 223Tp_Out_2 21.667 0 °C CPStm 1.000 000 CPSp 1.000 000Pp_Out_2 0.00 kPag CPLtm 1.000 000 CPLp 1.000 000

Qav 150 lpm CPVsi_15 3,789,545.453 mL at 15 °CTp 21.667 °C Tp_Out_2 71.00 °F CPVsi_20 3,790,178.307 mL at 20 °CPp 0.0 kPag Pp_Out_2 0.0 psig CPVusc 231,256.702 2 in3 at 60 °F


No. No. mL °C °F mL mL kg/m3 kg

1 1 409.68 21.667 71.00 378,514.857 378,924.537 997.847 1.000 318 378.228 9512 2 409.68 21.667 71.00 378,531.244 378,940.924 997.847 1.000 318 378.245 3083 1 409.68 21.778 71.20 378,514.857 378,924.537 997.822 1.000 323 378.221 3664 2 409.68 21.833 71.30 378,531.244 378,940.924 997.810 1.000 326 378.234 3075 1 409.68 21.889 71.40 378,514.857 378,924.537 997.797 1.000 329 378.214 1586 2 409.68 21.889 71.40 378,531.244 378,940.924 997.797 1.000 329 378.230 5147 1 409.68 21.944 71.50 378,514.857 378,924.537 997.785 1.000 331 378.210 3668 2 409.68 22.000 71.60 378,531.244 378,940.924 997.772 1.000 334 378.222 9289 1 409.68 22.056 71.70 378,514.857 378,924.537 997.759 1.000 337 378.202 77910 2 409.68 22.056 71.70 378,531.244 378,940.924 997.759 1.000 337 378.219 13411

Sum 4,096.80 Mpass 3,782.229 811


104

A-4 Open Tank Prover (continued)

"Out Data" Final Calibration Run


Ambient 15.556 °C CTSp 1.000 242Tp_Out_3 22.222 0 °C CPStm 1.000 000 CPSp 1.000 000Pp_Out_3 0.00 kPag CPLtm 1.000 000 CPLp 1.000 000

Qav 150 lpm CPVsi_15 3,785,472.976 mL at 15 °CTp 22.222 °C Tp_Out_3 72.00 °F CPVsi_20 3,786,105.150 mL at 20 °CPp 0.0 psig Pp_Out_3 0.0 psig CPVusc 231,008.179 6 in3 at 60 °F


No. No. mL °C °F in3 in3 kg/m3 kg

1 1 0.00 22.33 -5.370 378,514.857 378,514.857 997.696 1.000 350 377.774 9342 2 0.00 22.33 -5.370 378,531.244 378,531.244 997.696 1.000 350 377.791 2893 1 0.00 22.44 -5.309 378,514.857 378,514.857 997.670 1.000 355 377.766 9774 2 0.00 22.44 -5.309 378,531.244 378,531.244 997.670 1.000 355 377.783 3325 1 0.00 22.44 -5.309 378,514.857 378,514.857 997.670 1.000 355 377.766 9776 2 0.00 22.44 -5.309 378,531.244 378,531.244 997.670 1.000 355 377.783 3327 1 0.00 22.44 -5.309 378,514.857 378,514.857 997.670 1.000 355 377.766 9778 2 0.00 22.44 -5.309 378,531.244 378,531.244 997.670 1.000 355 377.783 3329 1 0.00 22.50 -5.278 378,514.857 378,514.857 997.657 1.000 358 377.763 18810 2 0.00 22.50 -5.278 378,531.244 378,531.244 997.657 1.000 358 377.779 54211

Sum 0.00 Mpass 3,777.759 880


105

Appendix B - BPV USC Unit Examples

B-1 Unidirectional Displacement Prover - Integral Detector Design B-2 Bidirectional Displacement Prover - Integral Detector Design B-3 Unidirectional Displacement Prover - External Detector Design B-4 Open Tank Prover


106

B-1 Unidirectional Displacement Prover - Integral Detector Design


107

Calibration Date 6-Dec-17

Owner

Geographic Location

Manufacturer

Serial Number





Internal Diameter (ID) 7.981 inches

Wall Thickness (WT) 0.322 inches


Old Base Prover Volume (BPVold) 12,755.3234 in3 @ 60°F and 0 psig

Outside Diameter (OD) 8.625 inches

Coefficient of Linear Expansion, GLp 0.000 006 20 per °F - carbon steel

Linear Expansion of Rod, GLd NA per °F - NA

Modulus of Elasticity, E 30,000,000 per psi - carbon steel


free displacer - sphere



NA


CPVusc_out CPVusc_back CPVusc_rt CPVsi_rt CPVsi_rt Qav

in3 in3 in3 mL at 15 °C mL at 20 °C gpm

Run 1 12,755.4829 0.0000 12,755.4829 209,020.892 209,056.008 40

Run 2 12,755.1824 0.0000 12,755.1824 209,015.968 209,051.083 30

Run 3 12,754.9850 0.0000 12,754.9850 209,012.733 209,047.848 40

Avg 12,755.2168 NA 12,755.2168 209,016.531 209,051.646 35

Range (%) 0.004 NA 0.004 0.004 0.004 33




CPV Criteria? Pass BPVold 12,755.3234 in3 @ 60°F and 0 psig

ΔBPV (0.1070) in3 @ 60°F and 0 psig

ΔQav Criteria Met (ΔQav ≥ 25%)? Pass ΔBPV% (0.001) % New BPV Larger / (Smaller)


- - - - - - -

- - - 209.017 - 209.052 -

55.217 4 - - - - - -

- 1.314 70 7.381 49 - - - -

- - - - 0.209 017 - 0.209 052

- - - - - - -

Calibration Company



Nominal Capacity 50 30 5 50 20 gallons

Base Measure Volume (BMV) 11,551.5000 6,931.2700 1,155.2300 11,547.8000 4,614.8700 in3

Coefficient of Cubical Expansion, GCtm 0.0000265 0.0000265 0.0000265 0.0000265 0.0000265 per °F


Base Temperature, Tb 60.0 60.0 60.0 60.0 60.0 °F







Version 1.2

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API Waterdraw



Example B-1 USC - New Approach

API MPMS

ABC-10567

@ 60°F and 0 psig @ 15°C and 0 kPag @ 20°C and 0.0 kPag


108

B-1 Unidirectional Displacement Prover - Integral Detector Design (continued)


109



Ambient 60 °F CTSp 1.000 489CPSp 1.000 072

Qav 40 gpm Fp 0.000 003 08 per psiPp 87.0 psig Pp_Out_1 87.0 psig CPLp 1.000 268Tp 86.30 °F Tp_Out_1 86.30 °FTd °F Td_Out_1 °F CPVusc 12,755.482 9 in3 at 60 °F

Tp 30.167 0 °C CPVsi_15 209,020.892 mL at 15 °CCPVsi_20 209,056.008 mL at 20 °C


No. No. in3 °F °C in3 in3 kg/m3 kg

1 1 (3.25) 85.60 29.778 11,551.5000 11,548.2500 995.715 1.000 678 188.558 7202 3 52.40 85.50 29.722 1,155.2300 1,207.6300 995.732 1.000 676 19.718 3643 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 49.15 Mpass 208.277 084

"Back Data" Run No. 1

Weather RHOWp kg/m3

Ambient °F CTSp CPSp

Qav gpm Fp per psiPp psig Pp_Back_1 psig CPLpTp °F Tp_Back_1 °FTd °F Td_Back_1 °F CPVusc 0.000 0 in3 at 60 °F

Tp °C CPVsi_15 0.000 mL at 15 °CCPVsi_20 0.000 mL at 20 °C



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21



110



111








1 1 (1.50) 86.30 30.167 11,551.5000 11,550.0000 995.597 1.000 697 188.568 5262 3 50.20 86.40 30.222 1,155.2300 1,205.4300 995.581 1.000 700 19.679 9303 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 48.70 Mpass 208.248 456


Weather RHOWp kg/m3






1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21



112



113








1 1 (3.50) 87.20 30.667 11,551.5000 11,548.0000 995.445 1.000 721 188.511 6102 3 55.10 87.30 30.722 1,155.2300 1,210.3300 995.428 1.000 723 19.757 3453 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 51.60 Mpass 208.268 955


Weather RHOWp kg/m3



Tp °C CPVsi_15 0.000 mL at 15 °C CPVsi_20 0.000 mL at 20 °C



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21



114


115

B-2 Bidirectional Displacement Prover - Integral Detector Design


116


Owner

Geographic Location

Manufacturer

Serial Number










Coefficient of Linear Expansion, GLp 0.000 006 20 per °F - carbon steel

Linear Expansion of Rod, GLd NA per °F - NA

Modulus of Elasticity, E 30,000,000 per psi - carbon steel

bidirectional prover

free displacer - sphere



NA

Passes 1 & 2 = Run 1, Passes 3 & 4 = Run 2, Passes 5 & 6 = Run 3

CPVusc_out CPVusc_back CPVusc_60 CPVsi_15 CPVsi_20 Qav


Run 1 404,488.7343 404,433.8521 808,922.5864 13,255,611.097 13,257,838.082 40

Run 2 404,542.3765 404,504.7119 809,047.0883 13,257,651.279 13,259,878.606 30

Run 3 404,468.7774 404,426.6670 808,895.4444 13,255,166.328 13,257,393.238 40

Average 404,499.9627 404,455.0770 808,955.040 13,256,142.901 13,258,369.975 35

Range (%) 0.018 0.019 0.019 0.019 0.019 33


"Out" Criteria? Pass BPVsi_15 13,256,142.901 mL @ 15.00°C and 0.0 kPag

"Back" Crieria? Pass BPVsi_20 13,258,369.975 mL @ 20.00°C and 0.0 kPag


ΔBPV (217.2120) in3 @ 60°F and 0 psig



3,501.97 - - - - - -

- - 468.145 - - - -

- 83.380 2 - - 13.256 1 - 13.258 4

- - - - - - -

- - - - - - -

- - - - - - -

Calibration Company














Version 1.2

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BPVnew

Gen

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API Waterdraw




API MPMS

ABC-10567



117

B-2 Bidirectional Displacement Prover - Integral Detector Design (continued)


118





Tp 13.500 0 °C CPVsi_15 6,628,255.219 mL at 15 °CCPVsi_20 6,629,368.787 mL at 20 °C



1 8 2.00 55.60 13.111 46,224.4800 46,226.4800 999.365 0.999 883 756.946 5062 9 35.80 55.60 13.111 46,226.5200 46,262.3200 999.365 0.999 883 757.533 3763 8 32.50 55.70 13.167 46,224.4800 46,256.9800 999.358 0.999 886 757.442 9024 9 26.40 55.60 13.111 46,226.5200 46,252.9200 999.365 0.999 883 757.379 4545 8 25.80 55.70 13.167 46,224.4800 46,250.2800 999.358 0.999 886 757.333 1926 9 18.70 55.70 13.167 46,226.5200 46,245.2200 999.358 0.999 886 757.250 3367 8 24.80 55.70 13.167 46,224.4800 46,249.2800 999.358 0.999 886 757.316 8178 9 20.50 55.70 13.167 46,226.5200 46,247.0200 999.358 0.999 886 757.279 8109 7 14.90 55.60 13.111 23,114.5500 23,129.4500 999.365 0.999 883 378.738 68710 1 58.90 55.60 13.111 11,551.5000 11,610.4000 999.365 0.999 883 190.117 26011 12 13 14 15 16 17 18 19 20 21

Sum 260.30 Mpass 6,627.338 340




Qav 40 gpm Fp 0.000 003 25 per psiPp 125.0 psig Pp_Back_1 125.0 psig CPLp 1.000 406Tp 56.10 °F Tp_Back_1 56.10 °FTd °F Td_Back_1 °F CPVusc 404,433.852 1 in3 at 60 °F




1 8 29.70 56.00 13.333 46,224.4800 46,254.1800 999.336 0.999 894 757.386 4392 9 12.00 56.10 13.389 46,226.5200 46,238.5200 999.329 0.999 897 757.126 9843 8 50.10 56.00 13.333 46,224.4800 46,274.5800 999.336 0.999 894 757.720 4784 9 26.40 56.10 13.389 46,226.5200 46,252.9200 999.329 0.999 897 757.362 7755 8 (18.70) 56.20 13.444 46,224.4800 46,205.7800 999.322 0.999 899 756.587 1006 9 38.70 56.20 13.444 46,226.5200 46,265.2200 999.322 0.999 899 757.560 3887 8 (45.60) 56.20 13.444 46,224.4800 46,178.8800 999.322 0.999 899 756.146 6328 9 69.00 56.30 13.500 46,226.5200 46,295.5200 999.314 0.999 902 758.052 7359 7 (18.30) 56.40 13.556 23,114.5500 23,096.2500 999.307 0.999 905 378.181 41710 1 75.80 56.40 13.556 11,551.5000 11,627.3000 999.307 0.999 905 190.387 13211 12 13 14 15 16 17 18 19 20 21

Sum 219.10 Mpass 6,626.512 080Version 1.2


119


120



121








1 8 8.10 56.20 13.444 46,224.4800 46,232.5800 999.322 0.999 899 757.025 9312 9 45.80 56.10 13.389 46,226.5200 46,272.3200 999.329 0.999 897 757.680 4383 8 (2.40) 56.30 13.500 46,224.4800 46,222.0800 999.314 0.999 902 756.850 2134 9 (25.70) 56.40 13.556 46,226.5200 46,200.8200 999.307 0.999 905 756.499 0685 8 25.80 56.30 13.500 46,224.4800 46,250.2800 999.314 0.999 902 757.311 9666 9 58.70 56.50 13.611 46,226.5200 46,285.2200 999.300 0.999 907 757.877 2537 8 21.10 56.80 13.778 46,224.4800 46,245.5800 999.277 0.999 915 757.216 8158 9 25.40 56.70 13.722 46,226.5200 46,251.9200 999.285 0.999 913 757.325 1739 7 44.10 57.00 13.889 23,114.5500 23,158.6500 999.262 0.999 921 379.192 15610 1 56.90 57.00 13.889 11,551.5000 11,608.4000 999.262 0.999 921 190.072 14211 12 13 14 15 16 17 18 19 20 21

Sum 257.80 Mpass 6,627.051 155








1 8 29.70 56.30 13.500 46,224.4800 46,254.1800 999.314 0.999 902 757.375 8252 9 12.00 56.40 13.556 46,226.5200 46,238.5200 999.307 0.999 905 757.116 3733 8 50.10 56.30 13.500 46,224.4800 46,274.5800 999.314 0.999 902 757.709 8594 9 26.40 56.50 13.611 46,226.5200 46,252.9200 999.300 0.999 907 757.348 3715 8 (18.70) 56.80 13.778 46,224.4800 46,205.7800 999.277 0.999 915 756.565 1376 9 8.70 56.20 13.444 46,226.5200 46,235.2200 999.322 0.999 899 757.069 1607 8 (25.70) 56.10 13.389 46,224.4800 46,198.7800 999.329 0.999 897 756.476 2668 9 78.80 57.00 13.889 46,226.5200 46,305.3200 999.262 0.999 921 758.188 1559 7 (18.30) 57.20 14.000 23,114.5500 23,096.2500 999.247 0.999 926 378.166 65310 1 75.80 57.30 14.056 11,551.5000 11,627.3000 999.239 0.999 928 190.378 55611 12 13 14 15 16 17 18 19 20 21



122



123








1 8 8.10 56.20 13.444 46,224.4800 46,232.5800 999.322 0.999 899 757.025 9312 9 45.80 56.10 13.389 46,226.5200 46,272.3200 999.329 0.999 897 757.680 4383 8 (12.40) 56.30 13.500 46,224.4800 46,212.0800 999.314 0.999 902 756.686 4714 9 (15.70) 56.40 13.556 46,226.5200 46,210.8200 999.307 0.999 905 756.662 8095 8 25.80 56.30 13.500 46,224.4800 46,250.2800 999.314 0.999 902 757.311 9666 9 58.70 56.50 13.611 46,226.5200 46,285.2200 999.300 0.999 907 757.877 2537 8 21.10 56.80 13.778 46,224.4800 46,245.5800 999.277 0.999 915 757.216 8158 9 25.40 56.70 13.722 46,226.5200 46,251.9200 999.285 0.999 913 757.325 1739 7 44.10 57.00 13.889 23,114.5500 23,158.6500 999.262 0.999 921 379.192 15610 1 56.90 57.00 13.889 11,551.5000 11,608.4000 999.262 0.999 921 190.072 14211 12 13 14 15 16 17 18 19 20 21

Sum 257.80 Mpass 6,627.051 154





Tp 13.389 0 °C CPVsi_15 6,627,238.138 mL at 15 °C CPVsi_20 6,628,351.535 mL at 20 °C



1 8 29.70 56.30 13.500 46,224.4800 46,254.1800 999.314 0.999 902 757.375 8252 9 12.00 56.40 13.556 46,226.5200 46,238.5200 999.307 0.999 905 757.116 3733 8 50.10 56.30 13.500 46,224.4800 46,274.5800 999.314 0.999 902 757.709 8594 9 26.40 56.50 13.611 46,226.5200 46,252.9200 999.300 0.999 907 757.348 3715 8 (18.70) 56.80 13.778 46,224.4800 46,205.7800 999.277 0.999 915 756.565 1376 9 8.70 56.20 13.444 46,226.5200 46,235.2200 999.322 0.999 899 757.069 1607 8 (25.70) 56.10 13.389 46,224.4800 46,198.7800 999.329 0.999 897 756.476 2668 9 78.80 57.00 13.889 46,226.5200 46,305.3200 999.262 0.999 921 758.188 1559 7 (18.30) 57.20 14.000 23,114.5500 23,096.2500 999.247 0.999 926 378.166 65310 1 75.80 57.30 14.056 11,551.5000 11,627.3000 999.239 0.999 928 190.378 55611 12 13 14 15 16 17 18 19 20 21



124

B-3 Unidirectional Displacement Prover - External Detector Design


125


Owner

Geographic Location

Manufacturer

Serial Number







Type of Material for Rod 5 (1-carbon, 2-stainless 304, 3-stainless 316, 4-stainless 17-4 PH, 5-Invar )



Coefficient of Linear Expansion, GLp 0.000 008 90 per °F - 316 stainless steel

Linear Expansion of Rod, GLd 0.000 000 80 per °F - Invar

Modulus of Elasticity, E 28,000,000 per psi - 316 stainless steel


captive displacer - piston

detectors mounted on an external shaft

316 stainless steel wall material

Invar Rod


CPVusc_out CPVusc_back CPVusc_rt CPVsi_rt CPVsi_rt Qav


Run 1 4,615.5746 0.0000 4,615.5746 75,634.261 75,646.968 20

Run 2 4,615.9862 0.0000 4,615.9862 75,641.006 75,653.714 10

Run 3 4,616.0467 0.0000 4,616.0467 75,641.997 75,654.705 20

Average 4,615.8692 NA 4,615.8692 75,639.088 75,651.796 15

Range (%) 0.010 NA 0.010 0.010 0.010 100





ΔBPV (0.1550) in3 @ 60°F and 0 psig



- - - - - - -

- - - - - - -

19.982 1 - - 75.639 1 - 75.651 8 -

- - 2.671 22 - - - -

- 0.475 765 - - - - -

- - - - 0.075 639 1 - 0.075 651 8

Calibration Company














Version 1.2

Test

Mea

sure

Dat

aC

alib

ratio

n S

umm

ary

BPVnew

Gen

eral

Info

Dis

plac

emen

t Pro

ver

Dat

a

API Waterdraw




API MPMS

ABC-10567



126

B-3 Unidirectional Displacement Prover - External Detector Design (continued)


127


Weather Inside Building RHOWp 998.171 kg/m3


Qav 20 gpm Fp 0.000 003 16 per psiPp 37.0 psig Pp_Out_1 37.0 psig CPLp 1.000 117Tp 68.30 °F Tp_Out_1 68.30 °FTd 68.1 °F Td_Out_1 68.10 °F CPVusc 4,615.574 6 in3 at 60 °F




1 5 1.00 68.30 20.167 4,614.8700 4,615.8700 998.171 1.000 220 75.518 8032 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 1.00 Mpass 75.518 803


Weather RHOWp kg/m3


Qav gpm Fp per psiPp psig Pp_Back_1 psig CPLpTp °F Tp_Back_1 °FTd °F Td_Back_1 0.00 °F CPVusc 0.000 0 in3 at 60 °F




1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21



128



129








1 5 1.25 68.40 20.222 4,614.8700 4,616.1200 998.160 1.000 223 75.522 2872 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 1.25 Mpass 75.522 287


Weather RHOWp kg/m3






1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21



130



131








1 5 1.50 68.70 20.389 4,614.8700 4,616.3700 998.125 1.000 231 75.524 3332 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Sum 1.50 Mpass 75.524 333


Weather RHOWp kg/m3



Tp °C CPVsi_15 0.000 mL at 15 °C CPVsi_20 0.000 mL at 20 °C



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21



132

B-4 Open Tank Prover


133

Calibration Date 8-Jan-19Owner

Geographic Location Manufacturer

Serial Number

Prover Design Open TankType of Steel for Prover Wall 1 ( 1-carbon, 2-stainless 304, 3-stainless 316 )

Internal Diameter (ID) 95.750 inchesWall Thickness (WT) 0.125 inches

Old Base Prover Volume (BPVold) 231,000.000 0 in3 @ 60°F and 0 psigOutside Diameter (OD) 96.000 inches

Coefficient of Linear Expansion, GLp 0.000 006 20 per °FModulus of Elasticity, E 30,000,000 per psi

carbon steel wall materialPass 1 = Run 1, Pass 2 = Run 2, Adjust Scale(s), Verification Pass 3 = Verification Run 3

CPVusc Upper Scale Lower Scale Upper Scale Lower Scale BPVtag Check in3 at 60 °F Gallons Gallons in3 at 60 °F in3 at 60 °F in3 at 60 °F

Run 1 231,303.579 8 1,000.00 1.20 231,000.000 0 277.200 0 231,580.779 8Run 2 231,256.324 7 1,000.00 1.45 231,000.000 0 334.950 0 231,591.274 7

Avg 231,279.9523 Avg 231,586.027 3

R% 0.005Calibration Range Criteria Met (R ≤ 0.020%)? PASS

BPVtag 1,000.00 Gallons ΔBPVtag 586.027 3 in3 @ 60°FBPVtag 231,000.000 0 cubic inches ΔBPVtag 0.254 %

Adjusted EITHER upper scale (only) OR lower scale (only) to meet BPVtag - Scale Adjustment Gallons in3 @ 60°FUpper 2.54 586.027 3

X Lower DOWN 2.54 586.027 3

CPVusc Upper Scale Lower Scale Upper Scale Lower Scale BPVnew in3 at 60 °F Gallons Gallons in3 at 60 °F in3 at 60 °F in3 at 60 °F

Run 3 231,008.088 4 1,000.00 (0.05) 231,000.000 0 (11.550 0) 230,996.538 4

ΔBPVtag (0.001) %Verification Range Criteria Met (R ≤ 0.010%)? PASS

BPVnew 230,996.538 4 in3 @ 60°F and 0 psig BPVold 231,000.000 0 in3 @ 60°F and 0 psig

BPVsi_15 3,785,282.213 mL @ 15.00°C and 0.0 kPag ΔBPV (3.462 0) in3 @ 60°F and 0 psig

BPVsi_20 3,785,918.152 mL @ 20.00°C and 0.0 kPag ΔBPV% (0.001) % New BPV Larger / (Smaller)

U.S. Gallons Barrels Cubic Feet Liters Cubic Meters Liters Cubic Meters- - - 3,785.28 - 3,785.92 -

999.985 - 133.679 - - - -- 23.809 2 - - - - -- - - - 3.785 28 - 3.785 92- - - - - - -- - - - - - -

Calibration Company Calibration Technician


BMV 23,099.0000 23,100.0000 1,155.2300 11,547.8000 4,614.8700 in3

GLtm 0.000 008 83 0.000 008 83 0.000 008 83 0.000 008 83 0.000 008 83 per °FNIST Seal Number aaa bbb ccc ddd eee

Tb 60.0 60.0 60.0 60.0 60.0 °F


BMV 3,463.2200 23,114.5500 46,224.4800 46,226.5200 115,575.0700 in3

GLtm 0.000 008 83 0.000 008 83 0.000 008 83 0.000 008 83 0.000 008 83 per °FNIST Seal Number fff ggg hhh iii jjj

Tb 60.0 60.0 60.0 60.0 60.0 °F

Test

Mea

sure

Dat

a

API WaterdrawCalibration Technician

BPVnew@ 60°F and 0.0 psig @ 15°C and 0.0 kPag @ 20°C and 0.0 kPag

Cal

ibra

tion

Sum

mar

y

API MPMS Chapter 12.4 Part 1Example A-4 USC UnitsAPI MPMSABC-10567

Fina

l Run

Adj

ust S

cale

Cal

ibra

tion

Run

sO

pen

Tank

Pro

ver

Dat

aG

ener

al


134


135

B-4 Open Tank Prover (continued)



Ambient 60 °F CTSp 1.000 193Tp_Out_1 21.333 0 °C CPStm 1.000 000 CPSp 1.000 000Pp_Out_1 0.00 kPag CPLtm 1.000 000 CPLp 1.000 000

Qav 40 gpm CPVusc 231,303.579 8 in3 at 60 °FTp 70.40 °F Tp_Out_1 70.40 °F CPVsi_15 3,790,313.624 mL at 15 °CPp 0.0 psig Pp_Out_1 0.0 psig CPVsi_20 3,790,950.409 mL at 20 °C



1 1 25.00 70.50 21.389 23,099.0000 23,124.0000 997.909 1.000 278 378.247 1472 2 25.00 70.50 21.389 23,100.0000 23,125.0000 997.909 1.000 278 378.263 5043 1 25.00 70.60 21.444 23,099.0000 23,124.0000 997.897 1.000 281 378.243 7334 2 25.00 70.60 21.444 23,100.0000 23,125.0000 997.897 1.000 281 378.260 0905 1 25.00 70.60 21.444 23,099.0000 23,124.0000 997.897 1.000 281 378.243 7336 2 25.00 70.60 21.444 23,100.0000 23,125.0000 997.897 1.000 281 378.260 0907 1 25.00 70.70 21.500 23,099.0000 23,124.0000 997.884 1.000 284 378.239 9408 2 25.00 70.80 21.556 23,100.0000 23,125.0000 997.872 1.000 286 378.252 5059 1 25.00 70.80 21.556 23,099.0000 23,124.0000 997.872 1.000 286 378.236 14810 2 70.00 70.80 21.556 23,100.0000 23,170.0000 997.872 1.000 286 378.988 56311

Sum 295.00 Mpass 3,783.235 453







1 1 25.00 71.00 21.667 23,099.0000 23,124.0000 997.847 1.000 292 378.228 9402 2 25.00 71.00 21.667 23,100.0000 23,125.0000 997.847 1.000 292 378.245 2973 1 25.00 71.20 21.778 23,099.0000 23,124.0000 997.822 1.000 297 378.221 3554 2 25.00 71.30 21.833 23,100.0000 23,125.0000 997.810 1.000 299 378.233 9185 1 25.00 71.40 21.889 23,099.0000 23,124.0000 997.797 1.000 302 378.213 7696 2 25.00 71.40 21.889 23,100.0000 23,125.0000 997.797 1.000 302 378.230 1257 1 25.00 71.50 21.944 23,099.0000 23,124.0000 997.785 1.000 305 378.210 3558 2 25.00 71.60 22.000 23,100.0000 23,125.0000 997.772 1.000 307 378.222 5399 1 25.00 71.70 22.056 23,099.0000 23,124.0000 997.759 1.000 310 378.202 39010 2 25.00 71.70 22.056 23,100.0000 23,125.0000 997.759 1.000 310 378.218 74511

Sum 250.00 Mpass 3,782.227 433


136

B-4 Open Tank Prover (continued)

"Out Data" Final Calibration Run






1 1 0.00 72.20 22.333 23,099.0000 23,099.0000 997.696 1.000 323 377.774 5602 2 0.00 72.20 22.333 23,100.0000 23,100.0000 997.696 1.000 323 377.790 9143 1 0.00 72.40 22.444 23,099.0000 23,099.0000 997.670 1.000 329 377.766 9814 2 0.00 72.40 22.444 23,100.0000 23,100.0000 997.670 1.000 329 377.783 3355 1 0.00 72.40 22.444 23,099.0000 23,099.0000 997.670 1.000 329 377.766 9816 2 0.00 72.40 22.444 23,100.0000 23,100.0000 997.670 1.000 329 377.783 3357 1 0.00 72.40 22.444 23,099.0000 23,099.0000 997.670 1.000 329 377.766 9818 2 0.00 72.40 22.444 23,100.0000 23,100.0000 997.670 1.000 329 377.783 3359 1 0.00 72.50 22.500 23,099.0000 23,099.0000 997.657 1.000 331 377.762 81410 2 0.00 72.50 22.500 23,100.0000 23,100.0000 997.657 1.000 331 377.779 16811

Sum 0.00 Mpass 3,777.758 404


137

Bibliography API MPMS Chapter 4.7 - Field Standard Test Measures API MPMS Chapter 7 - Temperature Determination

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