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addressing uncertainty in oil and natural gas industry greenhouse

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6 6<br />

⎛40×10 scf 928 Btu ⎞ ⎛ 2×10 Btu 24 hr 343 days ⎞<br />

V = ⎜ × ⎟+ ⎜3 Units× × × ⎟<br />

⎝ yr scf ⎠ ⎝ hr-unit day yr ⎠<br />

6<br />

V = 86,512 ×10 Btu/yr<br />

The <strong>uncerta<strong>in</strong>ty</strong> for the b<strong>oil</strong>er activity factor is calculated by apply<strong>in</strong>g Equation 4-6 <strong>and</strong> us<strong>in</strong>g the relative<br />

<strong>uncerta<strong>in</strong>ty</strong> values.<br />

2 2 2 2<br />

b<strong>oil</strong>er AF AF Heat<strong>in</strong>g Value<br />

( )<br />

Urel ( ) = U( rel) +U( rel ) = 15 + 4 =± 15.5% Btu/yr<br />

Uncerta<strong>in</strong>ty for heater/reb<strong>oil</strong>ers: (Equation 4-6, relative uncerta<strong>in</strong>ties)<br />

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

2 2 2<br />

heater Units Capacity Days<br />

Urel = + + =±<br />

( )<br />

2 2 2<br />

( )<br />

heater<br />

0 5 2 5.39% Btu/yr<br />

The <strong>uncerta<strong>in</strong>ty</strong> for the comb<strong>in</strong>ed activity factor is calculated by apply<strong>in</strong>g Equation 4-4 <strong>and</strong> us<strong>in</strong>g the<br />

absolute <strong>uncerta<strong>in</strong>ty</strong> values.<br />

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

U abs<br />

2 2<br />

AF B<strong>oil</strong>er Heater<br />

6 2 6 2 6<br />

( )<br />

AF<br />

= (0.155× 37,120× 10 ) + (0.0539× 49,392× 10 ) = 6,347×<br />

10 Btu/yr<br />

6<br />

6,347×10 Btu/yr<br />

AF 6<br />

( )<br />

Urel ( ) = 100% × =± 7.34% Btu/yr<br />

86,512×10 Btu/yr<br />

As stated previously, the <strong>uncerta<strong>in</strong>ty</strong> <strong>in</strong> the emissions factor for N 2 O is determ<strong>in</strong>ed by eng<strong>in</strong>eer<strong>in</strong>g judgment<br />

to be 150%. The <strong>uncerta<strong>in</strong>ty</strong> <strong>in</strong> the emissions factor for methane is 25% based on expert judgment. The<br />

<strong>uncerta<strong>in</strong>ty</strong> for 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 />

Because it is not possible to have negative emissions, the lower bound <strong>uncerta<strong>in</strong>ty</strong> will be truncated at zero.<br />

As a result, the lower <strong>and</strong> upper bound uncerta<strong>in</strong>ties are estimated separately.<br />

6<br />

-6<br />

86,512 × 10 Btu 1.0 × 10 tonne CH<br />

4<br />

E<br />

CH<br />

: × = 0.0865 tonnes CH<br />

4<br />

6<br />

4<br />

/yr<br />

yr<br />

10 Btu<br />

( )<br />

Urel ( ) = U( rel) +U( rel ) = 7.34 + 25 =± 26.1% tonnes CH /yr)<br />

2 2 2 2<br />

emissions AF EF 4<br />

6<br />

-7<br />

86,512 × 10 Btu 2.8 × 10 tonne N2O<br />

E<br />

NO= × = 0.0242 tonnes N<br />

2<br />

6<br />

2O/yr<br />

yr<br />

10 Btu<br />

( )<br />

U( rel) = U( rel) +U( rel ) = 7.34 + 150 =+ 150%, − 100% tonnes N O/yr<br />

2 2 2 2<br />

emissions AF EF 2<br />

Pilot Version, September 2009 F-8

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