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addressing uncertainty in oil and natural gas industry greenhouse

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∑<br />

2<br />

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

∑(Wt%C)<br />

Wt%C<br />

2 2 2<br />

(0.0482× 6.94) + (0.0482× 0) + (0.0482×<br />

46.3)<br />

U ( abs) = = 2.27<br />

∑ (Wt%C) 2 2 2<br />

+ (0.0482× 4.86) + (0.0482× 2.26) + (0.0482×<br />

0.925)<br />

2.27<br />

Urel ( ) = × 100% =± 3.71% ( lb C/lb total<br />

∑<br />

)<br />

(Mole%×MW)<br />

61.24<br />

Uncerta<strong>in</strong>ty Estimate of CO 2 Emissions from B<strong>oil</strong>ers <strong>and</strong> Heaters/Reb<strong>oil</strong>ers:<br />

Carbon dioxide emissions can then be calculated us<strong>in</strong>g mass balance approach. Emissions are calculated<br />

below, by equipment type.<br />

B<strong>oil</strong>ers <strong>and</strong> Heaters:<br />

E<br />

CO2<br />

6<br />

93.2×<br />

10 scf fuel lbmole 20.77 lb fuel 0.6124 lb C lbmole C<br />

= × × × ×<br />

yr 379.3 scf fuel lbmole fuel lb fuel 12.01 lb C<br />

lbmole CO 44.01 lb CO tonne<br />

5,200 tonnes CO / yr<br />

2 2<br />

× × × =<br />

lbmole C lbmole CO2<br />

2204.62 lb<br />

As shown earlier, 93.2×10 6 scf/yr has an <strong>uncerta<strong>in</strong>ty</strong> of ±7.49%. The <strong>uncerta<strong>in</strong>ty</strong> <strong>in</strong> the carbon content of<br />

the fuel mixture is 3.71% <strong>and</strong> the <strong>uncerta<strong>in</strong>ty</strong> of the MW of the mixture is 2.69%. The <strong>uncerta<strong>in</strong>ty</strong> <strong>in</strong> the<br />

CO 2 emissions is calculated by apply<strong>in</strong>g Equation 4-6 <strong>and</strong> us<strong>in</strong>g the relative <strong>uncerta<strong>in</strong>ty</strong> values.<br />

2<br />

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

Urel<br />

Emissions<br />

2 2 2<br />

B<strong>oil</strong>ers <strong>and</strong> Heaters Gas Usage Carbon Content MW mix<br />

2 2 2<br />

( )<br />

Emissions<br />

= 7.49 + 3.71 + 2.69 =± 8.78% (tonnes CO<br />

2<br />

/ yr)<br />

Uncerta<strong>in</strong>ty Estimate of CO 2 Emissions from Turb<strong>in</strong>es:<br />

The CO 2 emissions from Turb<strong>in</strong>es are:<br />

E<br />

CO<br />

2<br />

6<br />

250×<br />

10 scf fuel lbmole 20.77 lb fuel 0.6124 lb C lbmole C<br />

= × × × ×<br />

yr 379.3 scf fuel lbmole fuel lb fuel 12.01 lb C<br />

lbmole CO 44.01 lb CO tonne<br />

lbmole C lbmole CO 2204.62 lb<br />

2 2<br />

× × × =<br />

2<br />

13,900 tonnes CO / yr<br />

The <strong>uncerta<strong>in</strong>ty</strong> for the activity factor 250×10 6 scf fuel/yr is 15%. Similarly, the <strong>uncerta<strong>in</strong>ty</strong> <strong>in</strong> the carbon<br />

content of the fuel mixture is 3.71% <strong>and</strong> the <strong>uncerta<strong>in</strong>ty</strong> of the MW of the mixture is 2.67%. The<br />

<strong>uncerta<strong>in</strong>ty</strong> <strong>in</strong> the CO 2 emissions is calculated by apply<strong>in</strong>g Equation 4-6 <strong>and</strong> us<strong>in</strong>g the relative <strong>uncerta<strong>in</strong>ty</strong><br />

values.<br />

2<br />

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

2 2 2<br />

Emissions AF Carbon Content MW mix<br />

U( rel ) = 15 +3.71 +2.67 = ± 15.7% (tonnes CO /yr)<br />

2 2 2<br />

Emissions 2<br />

Pilot Version, September 2009 F-5

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