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addressing uncertainty in oil and natural gas industry greenhouse

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Uncerta<strong>in</strong>ty Estimate for CH 4 <strong>and</strong> CO 2 Emissions from Chemical Injection Pumps:<br />

1.737 tonne CH ⎛<br />

4<br />

0.80 tonne mole CH<br />

4(facility)<br />

⎞<br />

E<br />

CH<br />

= (67 CIPs) × × 118 tonnes CH<br />

4<br />

⎜<br />

⎟=<br />

4<br />

/yr<br />

CIP - yr ⎝0.788 tonne mole CH<br />

4<br />

(default EF) ⎠<br />

1.737 tonne CH<br />

4<br />

tonne mole CH4 0.80 tonne mole CH<br />

4<br />

(facility)<br />

E<br />

CO<br />

= (67 CIPs) × × ×<br />

2<br />

CIP - yr 16.04 tonne CH 0.788 tonne mole CH (default)<br />

tonne mole <strong>gas</strong> 0.12 tonne mole CO<br />

0.8 tonne mole CH tonne mole <strong>gas</strong><br />

4 4<br />

2<br />

2<br />

× ×<br />

4<br />

44.01 tonne CO<br />

× = 48.6 tonnes CO<br />

2<br />

/yr<br />

tonne mole CO<br />

2<br />

E<br />

48.6 tonne CO<br />

=<br />

⎛118 tonne CH<br />

+<br />

21 tonne CO e ⎞<br />

× = 2,530 tonne CO e/yr<br />

⎝<br />

⎠<br />

2 4 2<br />

CO∂e ⎜<br />

⎟<br />

2<br />

yr yr tonne CH4<br />

A 5% <strong>uncerta<strong>in</strong>ty</strong> was assigned to the count of chemical <strong>in</strong>jection pumps based on expert judgment. The<br />

<strong>uncerta<strong>in</strong>ty</strong> <strong>in</strong> the emissions factor is 108% per Table 5-16 of the API Compendium. Because it is not<br />

possible to have negative emissions, the lower bound <strong>uncerta<strong>in</strong>ty</strong> will be truncated at zero. As a result, the<br />

lower <strong>and</strong> upper bound uncerta<strong>in</strong>ties are estimated separately.<br />

The <strong>uncerta<strong>in</strong>ty</strong> <strong>in</strong> the default methane content is 5.53% from the GRI/EPA Methane Study (Shires <strong>and</strong><br />

Harrison), which is provided <strong>in</strong> Table E-4 of the API Compendium. The <strong>uncerta<strong>in</strong>ty</strong> <strong>in</strong> the site specific<br />

mole % is 4%. The <strong>uncerta<strong>in</strong>ty</strong> of both the CO 2 <strong>and</strong> CH 4 emissions are calculated by apply<strong>in</strong>g Equation 4-6<br />

<strong>and</strong> us<strong>in</strong>g the relative <strong>uncerta<strong>in</strong>ty</strong> values.<br />

( ) ( )<br />

2 2<br />

U ( rel) = U( rel) +U( rel) +U rel +U rel<br />

CO2 CH4<br />

Upper:<br />

2 2 2 2<br />

Urel ( ) = 5.00 + 108 + 4.00 + 5.53 =+ 108% tonnes/yr<br />

CO2 CH4<br />

2 2<br />

E ,E AF EF Facility mole% Default mole%<br />

E ,E<br />

( )<br />

2 2 2 2<br />

U(rel)<br />

E CO & E<br />

= U( rel) 2 CH<br />

AF<br />

+ U( rel) EF<br />

+ U( rel) Facility mole%<br />

+ U( rel)<br />

Default mole%<br />

4<br />

Lower:<br />

2 2 2 2<br />

U(rel) = − 5.00 + − 100 + − 4.00 + − 5.52 =−100% tonnes/yr<br />

E CO & E<br />

2 CH4<br />

( ) ( ) ( ) ( ) ( )<br />

Uncerta<strong>in</strong>ty Estimate of CO 2 e Emissions from Chemical Injection Pumps:<br />

U ( abs) = U ( abs) + U ( abs)<br />

2 2<br />

ECO2e ECO E<br />

2 CH4<br />

Upper:<br />

2 2<br />

U ( abs) = (1.08× 48.6) + (1.08× 21× 118) = 2,690 tonnes CO e/yr<br />

ECO2e<br />

2<br />

2,690 tonnes CO e/yr<br />

Urel ( ) = 100% × =+ 106% tonnes CO e/yr<br />

( )<br />

2<br />

ECO2e<br />

2<br />

2,530 tonnes CO2e/yr<br />

Pilot Version, September 2009 F-27

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