Subpart Y IVT Equation Inputs Summary

 

This page lists the variables used in each Inputs Verifier Tool (IVT) equation in subpart Y. This information is intended primarily for XML uploaders to enable them to understand how each IVT equation is calculated and to identify sources for the constants, default values, and lookup values needed to solve the equations.

Click the links for the subpart Y equations below to view the variables used in the IVT calculations:

Equation Y-1b: Annual CO2 Emissions from Flares Where Gas Composition Is Monitored

Equation Y-1b calculates annual CO2 emissions for a specific fuel type from flares where gas composition is monitored.

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values.

Parameter

Description

Units of Measure

Value or Source

CO2

Annual CO2 emissions for a specific fuel type

metric tons/year

Output

n

Number of measurement periods. The minimum value for n is 52 (for weekly measurements); the maximum value for n is 366 (for daily measurements during a leap year)

 -

52-366

p

Measurement period index

 -

 

(Flare)p

Volume of flare gas combusted during measurement period

standard cubic feet per period, scf/period

User input

44

Molecular weight of CO2

kg/kg-mole

44

MVC

Molar volume conversion factor

849.5 scf/kg-mole at 68 °F and 14.7 psia or 836.6 scf/kg-mole at 60 °F and 14.7 psia

849.5

or

836.6

0.001

Unit conversion factor

metric tons per kilogram, mt/kg

0.001 

(%CO2)p

Mole percent CO2 concentration in the flare gas stream during the measurement period

percent by volume

User input

y

Number of carbon-containing compounds other than CO2 in the flare gas stream

User input 

x

Index for carbon-containing compounds other than CO2

User input 

0.98

Assumed combustion efficiency of a flare

mole CO2 per mole carbon

0.98 

(%CX)p

Mole percent concentration of compound “x” in the flare gas stream during the measurement period

percent by volume

User input 

CMNX

Carbon mole number of compound “x” in the flare gas stream. E.g., CMN for ethane (C2H6) is 2; CMN for propane (C3H8) is 3

mole carbon atoms per mole compound

User input 

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Equation Y-3: Annual CO2 Emissions from Flares Using a Default Emission Factor

Equation Y-3 calculates annual CO2 emissions from flares using a default emission factor.

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values.

Parameter

Description

Units of Measure

Value or Source

CO2

Annual CO2 emissions for a specific fuel type

metric tons/year

Output

0.98

Assumed combustion efficiency of a flare

mole CO2 per mole carbon

0.98

0.001

Unit conversion factor

metric tons per kg

0.001

FlareNorm    

Annual volume of flare gas combusted during normal operations from company records

MMscf/year

User input 

HHV

Higher heating value for fuel gas or flare gas from company records

Btu/scf (or MMBtu/MMscf)

User input 

EmF

Default CO2 emission factor for flare gas (HHV basis)

kg CO2/MMBtu

60

n

Number of start-up, shutdown, and malfunction events during the reporting year exceeding 500,000 scf/day

-

User input 

p

Start-up, shutdown, and malfunction event index

-

User input 

44

Molecular weight of CO2

kg/kg-mole

44 

12

Atomic weight of C

kg/kg-mole

12 

(FlareSSM)p

Volume of flare gas combusted during indexed start-up, shutdown, or malfunction event from engineering calculation

scf/event

User input 

(MW)p

Average molecular weight of the flare gas, from the analysis results or engineering calculations for the event

kg/kg-mole

User input 

MVC

Molar volume conversion factor (849.5 scf/kg-mole at 68 °F and 14.7 psia or 836.6 scf/kg-mole at 60 °F and 14.7 psia)

scf/kg-mole  

849.5

or

836.6 

(CC)p

Average carbon content of the flare gas, from analysis results or engineering calculations for the event

kg C per kg flare gas

User input

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Equation Y-4: Annual CH4 Emissions from Flares Using a Default Emission Factor

Equation Y-4 calculates annual CH4 emissions from flares using a default emission factor.

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values.

Parameter

Description

Units of Measure

Value or Source

CH4

Annual methane emissions from flared gas

metric tons CH4/year

Output 

CO2

Emission rate of CO2 from flared gas calculated in paragraph (b)(1) of this section

metric tons/year 

User input 

EmFCH4

Default CH4 emission factor for “Fuel Gas” from Table C-2 of subpart C of this part (General Stationary Fuel Combustion Sources)

kg CH4/MMBtu

Table C-2

EmF

Default CO2 emission factor for flare gas (HHV basis)

kg CO2/MMBtu

60

0.02/0.98

Correction factor for flare combustion efficiency

-

0.02/0.98 

16/44

Correction factor ratio of the molecular weight of CH4 to CO2

-

16/44 

fCH4

Weight fraction of carbon in the flare gas prior to combustion that is contributed by methane from measurement values or engineering calculations

kg C in methane in flare gas/kg C in flare gas

User Input

or

Default (0.4)

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Equation Y-8: Annual CO2 from Catalytic Cracking Units and Fluid Coking Units

Equation Y-8 calculates annual CO2 from catalytic cracking units and fluid coking units with rated capacities of 10,000 barrels per stream day (bbls/sd) or less that do not use a continuous CO2 CEMS for the final exhaust stack.

 

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values.

Parameter

Description

Units of Measure

Value or Source

CO2

Annual CO2 mass emissions

metric tons/year

Output

Qunit

Annual throughput of unit from company records

bbl/yr

User input 

CBF

Coke burn-off factor from engineering calculations

kg coke per barrel of feed

User input

or

Default (7.3 for catalytic cracking units; 11 for fluid coking units)

0.001

Conversion factor

metric ton/kg

0.001

CC

Carbon content of coke based on measurement or engineering estimate

kg C per kg coke

User input

or

Default (0.94)

44/12

Ratio of molecular weight of CO2 to C

kg CO2 per kg C

44/12

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Equation Y-9 alt: Annual CH4 Emissions from Catalytic Cracking or Fluid Coking Units Using Unit-Specific Measurement Data and Emission Factor

This alternative to Equation Y-9 calculates annual CH4 emissions from catalytic cracking or fluid coking units using unit-specific measurement data and emission factor.

 

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values. 

Parameter

Description

Units of Measure

Value or Source

CH4

Annual CH4 emissions from catalytic cracking or fluid coking unit

metric tons CH4/year

Output

AD

Annual activity (e.g., input or product rate)

activity/year (user specified)

User Input

EFCH4

CH4 emission factor

metric tons CH4/AD (user specified)

User Input

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Equation Y-10 alt: Annual N2O Emissions from Catalytic Cracking or Fluid Coking Units Using Unit-Specific Measurement Data and Emission Factor

This alternative to Equation Y-10 calculates annual N2O emissions from catalytic cracking or fluid coking units using unit-specific measurement data and emission factor.

 

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values. 

Parameter

Description

Units of Measure

Value or Source

N2O

Annual N2O emissions from catalytic cracking or fluid coking unit

metric tons N2O/year

Output

AD

Annual activity (e.g., input or product rate)

activity/year (user specified)

User Input

EFN2O

 N2O emission factor

metric tons N2O/AD (user specified)

User Input

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Equation Y-11: Annual CO2 Emissions from a Catalytic Reforming Unit Catalyst Regenerator

Equation Y-11 calculates annual CO2 emissions from a catalytic reforming unit catalyst regenerator.

 

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values.

Parameter

Description

Units of Measure

Value or Source

CO2

Annual CO2 emissions

metric tons/year

Output 

CBQ

Coke burn-off quantity per regeneration cycle or measurement period from engineering estimates

kg coke/cycle or kg coke/measurement period

User input 

n

Number of regeneration cycles or measurement periods in the calendar year

-

User input 

CC

Carbon content of coke based on measurement or engineering estimate

kg C per kg coke

User input

or

Default (0.94)

44/12

Ratio of molecular weight of CO2 to C

kg CO2 per kg C

44/12 

0.001

Conversion factor

metric ton/kg

0.001 

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Equation Y-12 off-site: Annual CO2 Emissions from Off-site Sulfur Recovery Plants

Equation Y-12 off-site calculates annual CO2 emissions from off-site sulfur recovery plants.

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values. 

Parameter

Description

Units of Measure

Value or Source

CO2

Annual CO2 emissions

metric tons/year

Output 

FSG

Sour gas feed sent off-site for sulfur recovery

scf/year

User input 

44

Molecular weight of CO2

kg/kg-mole

44 

MVC

Molar volume conversion factor (849.5 scf/kg-mole at 68 °F and 14.7 psia or 836.6 scf/kg-mole at 60 °F and 14.7 psia)

scf/kg-mole  

849.5

or

836.6

MFC

Mole fraction of carbon in the sour gas sent off-site for sulfur recovery

kg-mole C/kg-mole gas

Default = 0.20

0.001

Conversion factor, kg to metric tons

metric ton/kg

0.001

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Equation Y-12 on-site: Annual CO2 Emissions from On-site Sulfur Recovery Plants

Equation Y-12 on-site calculates annual CO2 emissions from on-site sulfur recovery plants.

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values. 

Parameter

Description

Units of Measure

Value or Source

CO2

Annual CO2 emissions

metric tons/year

Output 

FSG

Volumetric flow rate of sour gas (including sour water stripper gas) fed to the sulfur recovery plant

scf/year

User input 

44

Molecular weight of CO2

kg/kg-mole

44 

MVC

Molar volume conversion factor (849.5 scf/kg-mole at 68 °F and 14.7 psia or 836.6 scf/kg-mole at 60 °F and 14.7 psia)

scf/kg-mole  

849.5

or

836.6

MFC

Mole fraction of carbon in the sour gas fed to the sulfur recovery plant

kg-mole C/kg-mole gas

Default = 0.20

0.001

Conversion factor, kg to metric tons

metric ton/kg

0.001

 

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Equation Y-13: Annual CO2 Emissions from the Coke Calcining Units

Equation Y-13 calculates annual CO2 emissions from the coke calcining units.

 

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values.

Parameter

Description

Units of Measure

Value or Source

CO2

Annual CO2 emissions

metric tons/year

Output 

Min

Annual mass of green coke fed to the coke calcining unit from facility records

metric tons/year

User input 

CCGC

Average mass fraction carbon content of green coke from facility measurement data

metric ton carbon/metric ton green coke

User input 

Mout

Annual mass of marketable petroleum coke produced by the coke calcining unit from facility records

metric tons petroleum coke/year

User input 

Mdust

Annual mass of petroleum coke dust removed from the process through the dust collection system of the coke calcining unit from facility records. For coke calcining units that recycle the collected dust, the mass of coke dust removed from the process is the mass of coke dust collected less the mass of coke dust recycled to the process

metric ton petroleum coke dust/year

User input 

CCMPC

Average mass fraction carbon content of marketable petroleum coke produced by the coke calcining unit from facility measurement data

metric ton carbon/metric ton petroleum coke

User input 

44

Molecular weight of CO2

kg/kg-mole

44 

12

Atomic weight of C

kg/kg-mole

12 

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Equation Y-14: Annual CO2 Emissions from Uncontrolled Asphalt Blowing Operations

Equation Y-14 calculates annual CO2 emissions from uncontrolled asphalt blowing operations or asphalt blowing operations controlled by vapor scrubbing.

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values.

Parameter

Description

Units of Measure

Value or Source

CO2

Annual CO2 emissions from uncontrolled asphalt blowing

metric tons CO2/year

Output 

QAB

Quantity of asphalt blown

MMbbl/year

User input 

EFAB,CO2

Emission factor for CO2 from uncontrolled asphalt blowing from facility-specific test data

metric tons CO2/MMbbl asphalt blown

default = 1,100

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Equation Y-15: Annual CH4 Emissions from Uncontrolled Asphalt Blowing Operations

Equation Y-15 calculates annual CH4 emissions from uncontrolled asphalt blowing operations or asphalt blowing operations controlled by vapor scrubbing.

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values.

Parameter

Description

Units of Measure

Value or Source

CH4

Annual CH4 emissions from uncontrolled asphalt blowing

metric tons CH4/year

Output 

QAB

Quantity of asphalt blown

MMbbl/year

User input 

EFAB,CH4

Emission factor for CH4 from uncontrolled asphalt blowing from facility-specific test data

metric tons CH4/MMbbl asphalt blown

default = 580

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Equation Y-16a: Annual CO2 Emissions from Controlled Asphalt Blowing Operations Using Carbon Emissions Data or Factor

Equation Y-16a calculates annual CO2 emissions from asphalt blowing operations controlled by thermal oxidizer or flare.

 

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values.

Parameter

Description

Units of Measure

Value or Source

CO2

 Annual CO2 emissions from controlled asphalt blowing

metric tons CO2/year

Output 

0.98

 Assumed combustion efficiency of thermal oxidizer or flare

-

0.98

QAB

 Quantity of asphalt blown

MMbbl/year

User input 

CEFAB

 Carbon emission factor from asphalt blowing from facility-specific test data

metric tons C/MMbbl asphalt blown

User input

or

Default (2,750)

44

 Molecular weight of CO2

kg/kg-mole

44 

12

 Atomic weight of C

kg/kg-mole

12 

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Equation Y-16b: Annual CO2 Emissions from Controlled Asphalt Blowing Operations Using CO2 Emissions Data or Factor

Equation Y-16b calculates annual CO2 emissions from controlled asphalt blowing operations using CO2 emissions data or emissions factor.

 

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values.

Parameter

Description

Units of Measure

Value or Source

CO2

 Annual CO2 emissions from controlled asphalt blowing

metric tons CO2/year

 Output

QAB

 Quantity of asphalt blown

MMbbl/year

User input 

0.98

 Assumed combustion efficiency of thermal oxidizer or flare

-

0.98 

EFAB,CO2

Emission factor for CO2 from uncontrolled asphalt blowing from facility-specific test data

metric tons CO2/MMbbl asphalt blown

User input

or

Default (1,100)

CEFAB

 Carbon emission factor from asphalt blowing from facility-specific test data

metric tons C/MMbbl asphalt blown

User input

or

Default (2,750)

44

 Molecular weight of CO2

kg/kg-mole

44 

12

 Atomic weight of C

kg/kg-mole

12 

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Equation Y-17: Annual CH4 from Controlled Asphalt Blowing

Equation Y-17 calculates annual CH4 from controlled asphalt blowing.

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values.

Parameter

Description

Units of Measure

Value or Source

CH4

 Annual methane from controlled asphalt blowing

metric tons CH4/year

Output

0.02

 Fraction of methane uncombusted in thermal oxidizer or flare based on assumed 98% combustion efficiency

-

0.02 

QAB

 Quantity of asphalt blown

 MMbbl/year

User input 

EFAB,CH4

Emission factor for CH4 from uncontrolled asphalt blowing from facility-specific test data

metric tons CH4/MMbbl asphalt blown

User input 

or

Default (580)

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Equation Y-18: Annual CH4 Emissions from Delayed Coking Unit Vessel Opening

Equation Y-18 calculates annual CH4 emissions from delayed coking unit vessel opening.

 

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values. 

Parameter

Description

Units of Measure

Value or Source

CH4

Annual methane emissions from the delayed coking unit vessel opening

metric ton/year

Output 

N

Cumulative number of vessel openings for all delayed coking unit vessels of the same dimensions during the year

-

User input 

H

 Height of coking unit vessel

feet

User input 

PCV

Gauge pressure of the coking vessel when opened to the atmosphere prior to coke cutting or, if the alternative method provided in paragraph (i)(2) of this section is used, gauge pressure of the coking vessel when depressurization gases are first routed to the atmosphere

pounds per square inch gauge, psig

User input 

14.7

Assumed atmospheric pressure

pounds per square inch, psi

14.7

fvoid

Volumetric void fraction of coking vessel prior to steaming

cf gas/cf of vessel

Default (0.6)

D

Diameter of coking unit vessel

feet

User input 

16

Molecular weight of CH4

kg/kg-mole

16 

MVC

Molar volume conversion factor (849.5 scf/kg-mole at 68 °F and 14.7 psia or 836.6 scf/kg-mole at 60 °F and 14.7 psia)

scf/kg-mole  

849.5

or

836.6 

MFCH4Mole fraction of methane in coking vessel gas   kg-mole CH4/kg-mole gas, wet basis

Default (0.01) 

0.001Conversion factormetric ton/kg 0.001

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Equation Y-19 (DCU Only): Annual Delayed Coking Unit Process Vent Emissions

Equation Y-19 (DCU Only) calculates annual emissions of CO2, CH4 and N2O from process vents of delayed coking units.

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values. 

Parameter

Description

Units of Measure

Value or Source

EX

Annual emissions of each GHG from process vent

metric ton/yr

Output 

N

Number of venting events per year

-

User Input 

P

Index of venting events

-

User Input 

(VR)p

Average volumetric flow rate of process gas during the event from measurement data, process knowledge, or engineering estimates

scf per hour

User Input 

(MFX)p

Mole fraction of GHGX in process vent during the event from measurement data, process knowledge, or engineering estimates

kg-mol of GHG x/kg-mol vent gas

User Input 

MWX

Molecular weight of GHGX

kg/kg-mole

44 for CO2

44 for N2O

16 for CH4.

MVC

Molar volume conversion factor (849.5 scf/kg-mole at 68 °F and 14.7 psia or 836.6 scf/kg-mole at 60 °F and 14.7 psia)

scf/kg-mole  

849.5

or

836.6 

(VT)p

Venting time for the event

hours

User Input 

0.001

Conversion factor

metric ton/kg

0.001 

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Equation Y-20: CH4 Emission Rate from Uncontrolled Blowdown Systems

Equation Y-20 calculates CH4 emission rate from uncontrolled blowdown systems.

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values. 

Parameter

Description

Units of Measure

Value or Source

CH4

Methane emission rate from blowdown systems

mt CH4/year

Output 

QRef

Quantity of crude oil plus the quantity of intermediate products received from off site that are processed at the facility

MMbbl/year

User input 

EFBD

Methane emission factor for uncontrolled blown systems

scf CH4/MMbbl

Default (137,000)

16

Molecular weight of CH4

kg/kg-mole

16 

MVC

Molar volume conversion factor (849.5 scf/kg-mole at 68 °F and 14.7 psia or 836.6 scf/kg-mole at 60 °F and 14.7 psia)

scf/kg-mole  

849.5

or

836.6 

0.001

Conversion factor

metric ton/kg

0.001

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Equation Y-22: Annual CH4 Emissions from Storage Tanks That Do Not Process Unstabilized Crude Oil

Equation Y-22 calculates annual CH4 emissions from storage tanks other than those processing unstabilized crude oil.

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values. 

Parameter

Description

Units of Measure

Value or Source

CH4

Annual methane emissions from storage tanks

metric tons/year

Output

0.1

Default emission factor for storage tanks

metric ton CH4/MMbbl

0.1 

QRe f

Quantity of crude oil plus the quantity of intermediate products received from off site that are processed at the facility

MMbbl/year

User input 

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Equation Y-23: Annual CH4 Emissions from Storage Tanks That Process Unstabilized Crude Oil

Equation Y-23 calculates annual CH4 emissions from storage tanks that process unstabilized crude oil.

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values. 

Parameter

Description

Units of Measure

Value or Source

CH4

Annual methane emissions from storage tanks

metric tons/year

Output 

Qun

Quantity of unstabilized crude oil received at the facility

MMbbl/year

User input 

ΔP

Pressure differential from the previous storage pressure to atmospheric pressure

pounds per square inch, psi

User input 

MFCH4

Average mole fraction of CH4 in vent gas from the unstabilized crude oil storage tanks from facility measurements (measurement data or default value)

kg-mole CH4/kg-mole gas

User input

or

Default (0.27)

995,000

Correlation Equation factor

scf gas per MMbbl per psi

995,000 

16

Molecular weight of CH4

kg/kg-mole

16 

MVC

Molar volume conversion factor (849.5 scf/kg-mole at 68 °F and 14.7 psia or 836.6 scf/kg-mole at 60 °F and 14.7 psia)

 scf/kg-mole

849.5

or

836.6 

0.001

Conversion factor

metric ton/kg

0.001 

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Equation Y-23 alt: Annual CH4 Emissions from Storage Tanks That Process Unstabilized Crude Oil (Alternative Method)

This alternative to Equation Y-23 calculates annual CH4 emissions from storage tanks that process unstabilized crude oil.

 

The table below defines the parameters in this equation and provides the values or sources of any constants, default values, and lookup values.

Parameter

Description

Units of Measure

Value or Source

CH4

Annual CH4 emissions from storage tanks  

metric tons/year 

Output 

GGR

Annual gas generation rate for all unstabilized crude oil storage tanks

scf/year

User input 

MFCH4

Average mole fraction of CH4 in vent gas from the unstabilized crude oil storage tanks from facility measurements

kg-mole CH4/kg-mole gas

User input

or

Default (0.27)

16

Molecular weight of CH4

kg/kg-mole

16 

MVC

Molar volume conversion factor (849.5 scf/kg-mole at 68°F and 14.7 psia or 836.6 scf/kg-mole at 60°F and 14.7 psia)

scf/kg-mole 

849.5

or

836.6 

0.001

Conversion factor

metric ton/kg

0.001 

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