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Flow Measurement Uncertainty Using Tracer Gas Dilution Method Eric Harman CEESI 54043 WCR 37 Nunn, CO 80648 970-897-2711

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Page 1: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Flow Measurement Uncertainty

Using Tracer Gas Dilution Method Eric Harman

CEESI

54043 WCR 37

Nunn CO 80648

970-897-2711

Comparative Flare Gas Flow Measurement Study

bull In 2011 Chevron contracted a blinded study to test

various flow meters used in flare gas measurement

bull The goal was to shed some light on different flare gas

flow measurement technologies

bull Improve

o API-1410 (Measurement of Flow to Flares)

o API-223 (Testing Protocol for Flare Gas Metering)

bull Data presented at the GPA (Gas Producers

Association) April 2013 San Antonio Texas

Thank you Thank you Eric Estrada Targa Resources Steve Baldwin Chevron

Houston Texas USAHouston Texas USA

Comparative Flare Gas Flow Measurement Study

The comparative blinded study ran from 2011

to 2013 and included the following meters

bull USM (4-path Chordal)

bull USM (2-path Diametral)

bull USM (1-path Diametral)

bull USM (1-path Partial Insertion)

bull Optical Flow Meter

bull Tracer Gas Dilution Methodology

Wanted to test Pitot Tube Technology but

time amp money didnrsquot allow it

Comparative Flare Gas Flow Measurement Study

Consider How a Meter Senses the Flow

Comparative Flare Gas Flow Measurement Study

Rules of the Game

Fluid Air

Temperature 70degF (Ambient)

Pressure 12 PSIA (Ambient)

Velocity 1 to 150 FPS (feetsecond)

Pipe size 10rdquo (6rdquo pipe for 4-path chordal USM)

Pipe orient Horizontal

Piping Config Ideal straight-run

Swirling flow after an elbow

In-Plane amp Out-of-Plane

Uncertainty Using Tracer Gas Dilution Method

-250

-200

-150

-100

-50

00

50

100

150

200

250

05 50 500

Pe

rce

nt

Erro

r

Velocity (ftsec)

Comparative Blinded Flare Gas Flow Measurement StudyTracer Gas Dilution Method

CEESI 10 Pipe May 7-8 2013 CE-18143

Tracer Gas Data

-250

-200

-150

-100

-50

00

50

100

150

200

250

05 50 500

Pe

rce

nt

Erro

r

Velocity (ftsec)

Comparative Blinded Flare Gas Flow Measurement StudyTracer Gas Dilution Method

CEESI 10 Pipe May 7-8 2013 CE-18143

Tracer Gas Data

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really works

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really Works

Uncertainty Using Tracer Gas Dilution Method

Flow Rate Equation

From ASTM E2029

Where

119917119932 = Upstream mass flow rate

119914119920 = Injection stream concentration of tracer gasdagger

119914119915 = Downstream concentration of tracer gasdagger

119914119932 = Upstream concentration of tracer gasdagger

119917119920 = Injection mass flow rate

dagger All concentrations are mass concentrations

Uncertainty Using Tracer Gas Dilution Method

Uncertainty Equation

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 2: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Comparative Flare Gas Flow Measurement Study

bull In 2011 Chevron contracted a blinded study to test

various flow meters used in flare gas measurement

bull The goal was to shed some light on different flare gas

flow measurement technologies

bull Improve

o API-1410 (Measurement of Flow to Flares)

o API-223 (Testing Protocol for Flare Gas Metering)

bull Data presented at the GPA (Gas Producers

Association) April 2013 San Antonio Texas

Thank you Thank you Eric Estrada Targa Resources Steve Baldwin Chevron

Houston Texas USAHouston Texas USA

Comparative Flare Gas Flow Measurement Study

The comparative blinded study ran from 2011

to 2013 and included the following meters

bull USM (4-path Chordal)

bull USM (2-path Diametral)

bull USM (1-path Diametral)

bull USM (1-path Partial Insertion)

bull Optical Flow Meter

bull Tracer Gas Dilution Methodology

Wanted to test Pitot Tube Technology but

time amp money didnrsquot allow it

Comparative Flare Gas Flow Measurement Study

Consider How a Meter Senses the Flow

Comparative Flare Gas Flow Measurement Study

Rules of the Game

Fluid Air

Temperature 70degF (Ambient)

Pressure 12 PSIA (Ambient)

Velocity 1 to 150 FPS (feetsecond)

Pipe size 10rdquo (6rdquo pipe for 4-path chordal USM)

Pipe orient Horizontal

Piping Config Ideal straight-run

Swirling flow after an elbow

In-Plane amp Out-of-Plane

Uncertainty Using Tracer Gas Dilution Method

-250

-200

-150

-100

-50

00

50

100

150

200

250

05 50 500

Pe

rce

nt

Erro

r

Velocity (ftsec)

Comparative Blinded Flare Gas Flow Measurement StudyTracer Gas Dilution Method

CEESI 10 Pipe May 7-8 2013 CE-18143

Tracer Gas Data

-250

-200

-150

-100

-50

00

50

100

150

200

250

05 50 500

Pe

rce

nt

Erro

r

Velocity (ftsec)

Comparative Blinded Flare Gas Flow Measurement StudyTracer Gas Dilution Method

CEESI 10 Pipe May 7-8 2013 CE-18143

Tracer Gas Data

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really works

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really Works

Uncertainty Using Tracer Gas Dilution Method

Flow Rate Equation

From ASTM E2029

Where

119917119932 = Upstream mass flow rate

119914119920 = Injection stream concentration of tracer gasdagger

119914119915 = Downstream concentration of tracer gasdagger

119914119932 = Upstream concentration of tracer gasdagger

119917119920 = Injection mass flow rate

dagger All concentrations are mass concentrations

Uncertainty Using Tracer Gas Dilution Method

Uncertainty Equation

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 3: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Comparative Flare Gas Flow Measurement Study

The comparative blinded study ran from 2011

to 2013 and included the following meters

bull USM (4-path Chordal)

bull USM (2-path Diametral)

bull USM (1-path Diametral)

bull USM (1-path Partial Insertion)

bull Optical Flow Meter

bull Tracer Gas Dilution Methodology

Wanted to test Pitot Tube Technology but

time amp money didnrsquot allow it

Comparative Flare Gas Flow Measurement Study

Consider How a Meter Senses the Flow

Comparative Flare Gas Flow Measurement Study

Rules of the Game

Fluid Air

Temperature 70degF (Ambient)

Pressure 12 PSIA (Ambient)

Velocity 1 to 150 FPS (feetsecond)

Pipe size 10rdquo (6rdquo pipe for 4-path chordal USM)

Pipe orient Horizontal

Piping Config Ideal straight-run

Swirling flow after an elbow

In-Plane amp Out-of-Plane

Uncertainty Using Tracer Gas Dilution Method

-250

-200

-150

-100

-50

00

50

100

150

200

250

05 50 500

Pe

rce

nt

Erro

r

Velocity (ftsec)

Comparative Blinded Flare Gas Flow Measurement StudyTracer Gas Dilution Method

CEESI 10 Pipe May 7-8 2013 CE-18143

Tracer Gas Data

-250

-200

-150

-100

-50

00

50

100

150

200

250

05 50 500

Pe

rce

nt

Erro

r

Velocity (ftsec)

Comparative Blinded Flare Gas Flow Measurement StudyTracer Gas Dilution Method

CEESI 10 Pipe May 7-8 2013 CE-18143

Tracer Gas Data

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really works

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really Works

Uncertainty Using Tracer Gas Dilution Method

Flow Rate Equation

From ASTM E2029

Where

119917119932 = Upstream mass flow rate

119914119920 = Injection stream concentration of tracer gasdagger

119914119915 = Downstream concentration of tracer gasdagger

119914119932 = Upstream concentration of tracer gasdagger

119917119920 = Injection mass flow rate

dagger All concentrations are mass concentrations

Uncertainty Using Tracer Gas Dilution Method

Uncertainty Equation

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 4: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Comparative Flare Gas Flow Measurement Study

Consider How a Meter Senses the Flow

Comparative Flare Gas Flow Measurement Study

Rules of the Game

Fluid Air

Temperature 70degF (Ambient)

Pressure 12 PSIA (Ambient)

Velocity 1 to 150 FPS (feetsecond)

Pipe size 10rdquo (6rdquo pipe for 4-path chordal USM)

Pipe orient Horizontal

Piping Config Ideal straight-run

Swirling flow after an elbow

In-Plane amp Out-of-Plane

Uncertainty Using Tracer Gas Dilution Method

-250

-200

-150

-100

-50

00

50

100

150

200

250

05 50 500

Pe

rce

nt

Erro

r

Velocity (ftsec)

Comparative Blinded Flare Gas Flow Measurement StudyTracer Gas Dilution Method

CEESI 10 Pipe May 7-8 2013 CE-18143

Tracer Gas Data

-250

-200

-150

-100

-50

00

50

100

150

200

250

05 50 500

Pe

rce

nt

Erro

r

Velocity (ftsec)

Comparative Blinded Flare Gas Flow Measurement StudyTracer Gas Dilution Method

CEESI 10 Pipe May 7-8 2013 CE-18143

Tracer Gas Data

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really works

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really Works

Uncertainty Using Tracer Gas Dilution Method

Flow Rate Equation

From ASTM E2029

Where

119917119932 = Upstream mass flow rate

119914119920 = Injection stream concentration of tracer gasdagger

119914119915 = Downstream concentration of tracer gasdagger

119914119932 = Upstream concentration of tracer gasdagger

119917119920 = Injection mass flow rate

dagger All concentrations are mass concentrations

Uncertainty Using Tracer Gas Dilution Method

Uncertainty Equation

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 5: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Comparative Flare Gas Flow Measurement Study

Rules of the Game

Fluid Air

Temperature 70degF (Ambient)

Pressure 12 PSIA (Ambient)

Velocity 1 to 150 FPS (feetsecond)

Pipe size 10rdquo (6rdquo pipe for 4-path chordal USM)

Pipe orient Horizontal

Piping Config Ideal straight-run

Swirling flow after an elbow

In-Plane amp Out-of-Plane

Uncertainty Using Tracer Gas Dilution Method

-250

-200

-150

-100

-50

00

50

100

150

200

250

05 50 500

Pe

rce

nt

Erro

r

Velocity (ftsec)

Comparative Blinded Flare Gas Flow Measurement StudyTracer Gas Dilution Method

CEESI 10 Pipe May 7-8 2013 CE-18143

Tracer Gas Data

-250

-200

-150

-100

-50

00

50

100

150

200

250

05 50 500

Pe

rce

nt

Erro

r

Velocity (ftsec)

Comparative Blinded Flare Gas Flow Measurement StudyTracer Gas Dilution Method

CEESI 10 Pipe May 7-8 2013 CE-18143

Tracer Gas Data

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really works

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really Works

Uncertainty Using Tracer Gas Dilution Method

Flow Rate Equation

From ASTM E2029

Where

119917119932 = Upstream mass flow rate

119914119920 = Injection stream concentration of tracer gasdagger

119914119915 = Downstream concentration of tracer gasdagger

119914119932 = Upstream concentration of tracer gasdagger

119917119920 = Injection mass flow rate

dagger All concentrations are mass concentrations

Uncertainty Using Tracer Gas Dilution Method

Uncertainty Equation

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 6: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Uncertainty Using Tracer Gas Dilution Method

-250

-200

-150

-100

-50

00

50

100

150

200

250

05 50 500

Pe

rce

nt

Erro

r

Velocity (ftsec)

Comparative Blinded Flare Gas Flow Measurement StudyTracer Gas Dilution Method

CEESI 10 Pipe May 7-8 2013 CE-18143

Tracer Gas Data

-250

-200

-150

-100

-50

00

50

100

150

200

250

05 50 500

Pe

rce

nt

Erro

r

Velocity (ftsec)

Comparative Blinded Flare Gas Flow Measurement StudyTracer Gas Dilution Method

CEESI 10 Pipe May 7-8 2013 CE-18143

Tracer Gas Data

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really works

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really Works

Uncertainty Using Tracer Gas Dilution Method

Flow Rate Equation

From ASTM E2029

Where

119917119932 = Upstream mass flow rate

119914119920 = Injection stream concentration of tracer gasdagger

119914119915 = Downstream concentration of tracer gasdagger

119914119932 = Upstream concentration of tracer gasdagger

119917119920 = Injection mass flow rate

dagger All concentrations are mass concentrations

Uncertainty Using Tracer Gas Dilution Method

Uncertainty Equation

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 7: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really works

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really Works

Uncertainty Using Tracer Gas Dilution Method

Flow Rate Equation

From ASTM E2029

Where

119917119932 = Upstream mass flow rate

119914119920 = Injection stream concentration of tracer gasdagger

119914119915 = Downstream concentration of tracer gasdagger

119914119932 = Upstream concentration of tracer gasdagger

119917119920 = Injection mass flow rate

dagger All concentrations are mass concentrations

Uncertainty Using Tracer Gas Dilution Method

Uncertainty Equation

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 8: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Uncertainty Using Tracer Gas Dilution Method

Consider How Tracer Gas Dilution

Measures Flowrate

Itrsquos Magic

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really works

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really Works

Uncertainty Using Tracer Gas Dilution Method

Flow Rate Equation

From ASTM E2029

Where

119917119932 = Upstream mass flow rate

119914119920 = Injection stream concentration of tracer gasdagger

119914119915 = Downstream concentration of tracer gasdagger

119914119932 = Upstream concentration of tracer gasdagger

119917119920 = Injection mass flow rate

dagger All concentrations are mass concentrations

Uncertainty Using Tracer Gas Dilution Method

Uncertainty Equation

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 9: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really works

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really Works

Uncertainty Using Tracer Gas Dilution Method

Flow Rate Equation

From ASTM E2029

Where

119917119932 = Upstream mass flow rate

119914119920 = Injection stream concentration of tracer gasdagger

119914119915 = Downstream concentration of tracer gasdagger

119914119932 = Upstream concentration of tracer gasdagger

119917119920 = Injection mass flow rate

dagger All concentrations are mass concentrations

Uncertainty Using Tracer Gas Dilution Method

Uncertainty Equation

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 10: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Uncertainty Using Tracer Gas Dilution Method

How Tracer Gas Dilution Method

Really Works

Uncertainty Using Tracer Gas Dilution Method

Flow Rate Equation

From ASTM E2029

Where

119917119932 = Upstream mass flow rate

119914119920 = Injection stream concentration of tracer gasdagger

119914119915 = Downstream concentration of tracer gasdagger

119914119932 = Upstream concentration of tracer gasdagger

119917119920 = Injection mass flow rate

dagger All concentrations are mass concentrations

Uncertainty Using Tracer Gas Dilution Method

Uncertainty Equation

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 11: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Uncertainty Using Tracer Gas Dilution Method

Flow Rate Equation

From ASTM E2029

Where

119917119932 = Upstream mass flow rate

119914119920 = Injection stream concentration of tracer gasdagger

119914119915 = Downstream concentration of tracer gasdagger

119914119932 = Upstream concentration of tracer gasdagger

119917119920 = Injection mass flow rate

dagger All concentrations are mass concentrations

Uncertainty Using Tracer Gas Dilution Method

Uncertainty Equation

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 12: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Uncertainty Using Tracer Gas Dilution Method

Uncertainty Equation

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 13: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Bias Errors

SF6 toxicity threshold = 1000 ppm

ACGIH recommends 110th toxicity threshold therefore

119914119920max= 00001

= min flowrate = 1 ftsec in a 10rdquo pipe = 0034 lbssec119917119950119946119951 At amp a max SF6 conc of 00001 119917119920 = 0012 lbshr 119917119950119946119951 This extremely small flow rate can be achieved by diluting

the tracer gas which adds to uncertainty of 119917119920 alternately an

extremely small thermal mass meter could be used with

pure SF6

The term is estimated to be (004)2

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 14: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

120784∆119914119915 120784+ ∆119914119932The term is related to the gas analyzer 119914119915minus119914119920

uncertainty which depends on the calibration gas

and the analyzerrsquos ability to match the calibration gas

value Typical calibration gas uncertainty for SF6

concentrations of 1ppm to 100 ppt = 2 Estimated

analyzer uncertainty to match calibration gas = 05

120784∆119914119915 120784+ ∆119914119932The term is estimated to be (002)2

119914119915minus119914119920

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 15: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Uncertainty Using Tracer Gas Dilution Method

More Uncertainty Calculations

Random error due to the thermal mass meter amp the

analyzer

Multiple samples were taken to characterize the

random error in the thermal-mass meter amp the

analyzer the 2σ uncertainty was 506

120655119931119917

119917 = 120782120786 120784 + 120782120784 120784 + 120784 120782120787 120784= 83

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 16: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Comparative Flare Gas Flow Measurement Study

A Few Pictures

Test Facility amp Test Piping

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 17: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Comparative Flare Gas Flow Measurement Study

Tracer Gas Dilution Installation

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 18: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 19: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Comparative Flare Gas Flow Measurement Study

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 20: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Comparative Flare Gas Flow Measurement Study

Results

Question

From CEESI Testing Trace Gas

Dilution Method Uncertainty

was plusmn6-10 Is this reasonable

Answer

Yes uncertainty calculation

revealed an 83 uncertainty at

2-sigma

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 21: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Uncertainty Using Tracer Gas Dilution Method

Trace Gas Dilution Observations

bull The worse the straight-run the better the mixing

bull A large error due to the injection flow rate is possible

bull Consider the calibration gas uncertainty in the

uncertainty calculations

bull Because concentration sampling is a discrete single

point measurement large random errors are likely so

many samples are required to reduce random error

bull How well the tracer gas mixes is hard to characterize

Tracer Gas Dilution is labor

intensive but may be a viable

alternative when other methods

are not possible

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you

Page 22: Flow Measurement Uncertainty Using Tracer Gas Dilution …

Comparative Flare Gas Flow Measurement Study

Comments amp Questions

Thank you