Component Blueprints

Component blueprints are reusable templates of equations and inputs that calculate a transfer of CO₂e into or out of the atmosphere. They represent small discrete parts of carbon accounting that can be combined like building blocks to create custom and rigorous accounting for Removals, GHG Statements and entire Projects.

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Component Types

Component blueprints are labelled with a type. The type represents a carbon accounting category and flux direction, either CO₂e sequestered or emitted.

Component Type	Description	CO₂e Flux Direction
activity	Fuel and energy usage, manufacturing processes and embodied emissions	Emitted ↑
counterfactual	Baseline calculations to compare actual sequestration against alternative scenarios	Emitted ↑
loss	CO₂e losses and leakage before reaching permanent storage	Emitted ↑
reduction	Activity emissions that have been reduced by other claims or offsets	Sequestered ↓
sequestration	Calculations of CO₂e sequestered through storage or natural processes	Sequestered ↓

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Inputs and Compatible Units

Each component blueprint lists its inputs; the numbers you need to provide for its calculations.

Inputs are each a particular physical quantity being measured. For example: mass, volume, concentration or density.

A particular input works with many different units as long as they are compatible with its type. Ideally data should be reported in exactly in the same value and units as shown in corroborating sources. Component blueprint equations handle transforming these provided inputs into standard SI units.

Some inputs require lists of values, for example a set of soil samples. Each individual value in a list input must be compatible with the input’s type.

The result of a component blueprint’s equations is always a mass amount of CO₂e, that is typically either kgCO₂e or tCO₂e.

Input Type	Key	Compatible Units
Area	area	ha
Currency	currency	USD
Currency Carbon Emission Factor	currency_carbon_emission_factor	kgCO2e / USD, tCO2e / USD
Density	density	kg / m^3
Distance	distance	km
Distance Carbon Emission Factor	distance_carbon_emission_factor	kgCO2e / km, tCO2e / km
Energy	energy	kWh, MWh
Energy Carbon Emission Factor	energy_carbon_emission_factor	kgCO2e / kWh, kgCO2e / MWh
Energy Density	energy_density	kWh / litre, MWh / litre
Fuel Economy	fuel_economy	km / litre
Mass	mass	kg, tonne
Mass Carbon	mass_carbon	kgCO2e, tCO2e
Mass Carbon Emission Factor	mass_carbon_emission_factor	kgCO2e / kg, kgCO2e / tonne
Mass Distance Carbon Emission Factor	mass_distance_carbon_emission_factor	kgCO2e / (tonne * km), tCO2e / (tonne * km)
Mass Energy Density	mass_energy_density	kWh / kg, kWh / tonne, MWh / tonne
Mass Fraction	mass_fraction	ppm
Mass Per Area	mass_per_area	kg / m^2, t / ha
Mass Ratio	mass_ratio	kg / tonne, %
Molality	molality	mmol / kg
Molar Mass	molar_mass	g / mol
Percentage	percentage	%
Power	power	watts
Specific Volume	specific_volume	m^3 / kg, litre / kg, litre / tonne
Time	time	second
Volume	volume	litre
Volume Carbon Emission Factor	volume_carbon_emission_factor	kgCO2e / litre

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Activity Component Blueprints

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Aggregated sample transport

key: aggregated_sample_transport

Constant aggregated emissions, related to transporting sample material.

Calculations

$\text{result} = aggregated\_sample\_transport$

Inputs

Input Key	Display Name	Type	Example Unit
aggregated_sample_transport	Aggregated sample transport	Mass Carbon	kgCO2e

---

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Constant emissions

key: constant_activity_emissions

Emissions based on a constant value.

Calculations

$\text{result} = constant\_activity\_emissions$

Inputs

Input Key	Display Name	Type	Example Unit
constant_activity_emissions	Constant emissions	Mass Carbon	kgCO2e

---

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Currency-based CI emissions

key: currency_based_ci_emissions

Emissions based on multiplying a currency by a carbon emission factor.

Calculations

$\text{result} = amount\_spent \times carbon\_intensity$

Inputs

Input Key	Display Name	Type	Example Unit
amount_spent	Amount spent	Currency	USD
carbon_intensity	Carbon emission factor of currency	Currency Carbon Emission Factor	kgCO2e / USD

---

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Distance-based emissions

key: distance_based_ci_emissions

Emissions based on multiplying a distance by a carbon emission factor.

Calculations

$\text{result} = distance \times carbon\_intensity$

Inputs

Input Key	Display Name	Type	Example Unit
carbon_intensity	Distance emission factor	Distance Carbon Emission Factor	kgCO2e / km
distance	Distance travelled	Distance	km

---

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Electricity-ratio based emissions

key: electricity_ratio_based_emissions

Calculates emissions based on an amount of electricity used per unit feedstock mass.

Calculations

$\text{result} = mass\_feedstock \times energy \times carbon\_intensity$

Inputs

Input Key	Display Name	Type	Example Unit
carbon_intensity	Emission factor of energy	Energy Carbon Emission Factor	kgCO2e / kWh
energy	Energy used per unit mass of feedstock	Mass Energy Density	kWh / kg
mass_feedstock	Mass of feedstock	Mass	kg

---

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Embodied emissions

key: embodied_emissions

Constant embodied emissions.

Calculations

$\text{result} = embodied\_emissions$

Inputs

Input Key	Display Name	Type	Example Unit
embodied_emissions	Embodied emissions	Mass Carbon	kgCO2e

---

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Energy-based CI emissions

key: energy_based_ci_emissions

Emissions based on multiplying an energy by its carbon emission factor.

Calculations

$\text{result} = energy \times carbon\_intensity$

Inputs

Input Key	Display Name	Type	Example Unit
carbon_intensity	Carbon emission factor of energy	Energy Carbon Emission Factor	kgCO2e / kWh
energy	Energy used	Energy	kWh

---

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Fuel consumption based transport emissions

key: fuel_consumption_based_transport

Emissions related to transporting a load, based on a fuel-consumption method.

Calculations

$\text{result} = \frac{distance \times fuel\_carbon\_intensity}{fuel\_economy}$

Inputs

Input Key	Display Name	Type	Example Unit
distance	Distance travelled	Distance	km
fuel_carbon_intensity	Carbon emission factor of the fuel consumed	Volume Carbon Emission Factor	kgCO2e / litre
fuel_economy	Distance travelled per unit of fuel	Fuel Economy	km / litre

---

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Fuel usage by distance emissions, accounting for BCU claims

key: distance_based_transport_bcu

Emissions based on a distance travelled for a specific journey, accounting for BCU claims.

Calculations

$\text{result} = fuel\_usage\_accountable\_emissions + bcu\_fuel\_usage\_emissions$

$\text{fuel\_usage\_accountable\_emissions} = fuel\_combustion\_carbon\_intensity \times distance \times mass \times \frac{emission\_factor\_transport}{fuel\_combustion\_carbon\_intensity} - subtractable\_mass\_of\_bcu\_fuel$

$\text{subtractable\_mass\_of\_bcu\_fuel} = mass\_of\_bcu\_fuel \times \frac{energy\_density\_bcu\_fuel}{energy\_density\_fuel\_used}$

$\text{bcu\_fuel\_usage\_emissions} = bcu\_fuel\_combustion\_carbon\_intensity \times mass\_of\_bcu\_fuel$

Inputs

Input Key	Display Name	Type	Example Unit
bcu_fuel_combustion_carbon_intensity	Carbon emission factor of BCU combustion	Mass Carbon Emission Factor	kgCO2e / kg
distance	Distance travelled	Distance	km
emission_factor_transport	Emission factor of transport	Mass Distance Carbon Emission Factor	kgCO2e / (tonne * km)
energy_density_bcu_fuel	Energy density of low-carbon fuel represented in BCUs used for transportation journey	Mass Energy Density	kWh / kg
energy_density_fuel_used	Energy density of fuel consumed during the transportation journey	Mass Energy Density	kWh / kg
fuel_combustion_carbon_intensity	Carbon emission factor of combustion of fuel used for journey	Mass Carbon Emission Factor	kgCO2e / kg
mass	Mass of load	Mass	kg
mass_of_bcu_fuel	The quantity of fuel represented in BCUs used for transportation journey	Mass	kg

---

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Fuel usage by mass emissions

key: fuel_usage_by_mass

Emissions based on multiplying a fuel mass by the carbon emission factor of combustion.

Calculations

$\text{result} = mass\_of\_fuel \times fuel\_combustion\_carbon\_intensity$

Inputs

Input Key	Display Name	Type	Example Unit
fuel_combustion_carbon_intensity	Carbon emission factor of combustion	Mass Carbon Emission Factor	kgCO2e / kg
mass_of_fuel	Mass of fuel	Mass	kg

---

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Fuel usage by mass emissions, accounting for BCU claims

key: fuel_usage_by_mass_bcu

Emissions based on a mass of fuel used for a journey, accounting for BCU claims.

Calculations

$\text{result} = fuel\_usage\_accountable\_emissions + bcu\_fuel\_usage\_emissions$

$\text{fuel\_usage\_accountable\_emissions} = fuel\_combustion\_carbon\_intensity \times mass\_of\_fuel\_used - subtractable\_mass\_of\_bcu\_fuel$

$\text{subtractable\_mass\_of\_bcu\_fuel} = mass\_of\_bcu\_fuel \times \frac{energy\_density\_bcu\_fuel}{energy\_density\_fuel\_used}$

$\text{bcu\_fuel\_usage\_emissions} = bcu\_fuel\_combustion\_carbon\_intensity \times mass\_of\_bcu\_fuel$

Inputs

Input Key	Display Name	Type	Example Unit
bcu_fuel_combustion_carbon_intensity	Carbon emission factor of BCU combustion	Mass Carbon Emission Factor	kgCO2e / kg
energy_density_bcu_fuel	Energy density of low-carbon fuel represented in BCUs used for transportation journey	Mass Energy Density	kWh / kg
energy_density_fuel_used	Energy density of fuel consumed during the transportation journey	Mass Energy Density	kWh / kg
fuel_combustion_carbon_intensity	Carbon emission factor of combustion of fuel used for journey	Mass Carbon Emission Factor	kgCO2e / kg
mass_of_bcu_fuel	The quantity of fuel represented in BCUs used for transportation journey	Mass	kg
mass_of_fuel_used	Mass of fuel used for the journey	Mass	kg

---

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Fuel usage by volume emissions

key: fuel_usage_by_volume

Emissions based on multiplying a fuel volume by the carbon emission factor of combustion.

Calculations

$\text{result} = volume\_of\_fuel \times fuel\_combustion\_carbon\_intensity$

Inputs

Input Key	Display Name	Type	Example Unit
fuel_combustion_carbon_intensity	Fuel emission factor	Volume Carbon Emission Factor	kgCO2e / litre
volume_of_fuel	Volume of fuel	Volume	litre

---

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Fuel usage by volume emissions, accounting for BCU claims

key: fuel_usage_by_volume_bcu

Emissions based on a volume of fuel used for a journey, accounting for BCU claims.

Calculations

$\text{result} = fuel\_usage\_accountable\_emissions + bcu\_fuel\_usage\_emissions$

$\text{fuel\_usage\_accountable\_emissions} = fuel\_combustion\_carbon\_intensity \times volume\_of\_fuel\_used - volume\_of\_bcu\_fuel \times \frac{energy\_density\_bcu\_fuel}{energy\_density\_fuel\_used}$

$\text{bcu\_fuel\_usage\_emissions} = bcu\_fuel\_combustion\_carbon\_intensity \times volume\_of\_bcu\_fuel$

Inputs

Input Key	Display Name	Type	Example Unit
bcu_fuel_combustion_carbon_intensity	Carbon emission factor of BCU combustion	Volume Carbon Emission Factor	kgCO2e / litre
energy_density_bcu_fuel	Energy density of low-carbon fuel represented in BCUs used for transportation journey	Energy Density	kWh / litre
energy_density_fuel_used	Energy density of fuel consumed during the transportation journey	Energy Density	kWh / litre
fuel_combustion_carbon_intensity	Carbon emission factor of combustion of fuel used for journey	Volume Carbon Emission Factor	kgCO2e / litre
volume_of_bcu_fuel	The quantity of fuel represented in BCUs used for transportation journey	Volume	litre
volume_of_fuel_used	Volume of fuel used for the journey	Volume	litre

---

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GHG leakage emissions

key: ghg_leakage_by_energy

Emissions due to usage of a greenhouse gas leakage into the atmosphere, based on gas energy used.

Calculations

$\text{result} = \frac{gas\_energy\_used \times global\_warming\_potential \times leakage\_fraction}{gas\_energy\_density}$

Inputs

Input Key	Display Name	Type	Example Unit
gas_energy_density	Carbon density of gas	Mass Energy Density	kWh / kg
gas_energy_used	Energy of gas used	Energy	kWh
global_warming_potential	Global warming potential of gas	Unitless	n/a
leakage_fraction	Fraction of gas leaked into atmosphere	Unitless	n/a

---

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Grid electricity use emissions

key: grid_electricity_use

Emissions related to electric energy use.

Calculations

$\text{result} = electricity\_use \times grid\_carbon\_intensity$

Inputs

Input Key	Display Name	Type	Example Unit
electricity_use	Total electricity usage	Energy	kWh
grid_carbon_intensity	Carbon emission factor of grid electricity	Energy Carbon Emission Factor	kgCO2e / kWh

---

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Mass-based CI emissions

key: mass_based_ci_emissions

Emissions based on multiplying a mass by its carbon emission factor.

Calculations

$\text{result} = mass \times carbon\_intensity$

Inputs

Input Key	Display Name	Type	Example Unit
carbon_intensity	Carbon emission factor	Mass Carbon Emission Factor	kgCO2e / kg
mass	Mass	Mass	kg

---

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Mass-ratio based emissions

key: mass_ratio_based_emissions

Calculates emissions based on a volume of material used per unit feedstock mass.

Calculations

$\text{result} = mass\_ratio \times emissions\_factor \times feedstock\_mass$

Inputs

Input Key	Display Name	Type	Example Unit
emissions_factor	Emissions factor	Mass Carbon Emission Factor	kgCO2e / kg
feedstock_mass	Mass of feedstock	Mass	kg
mass_ratio	Mass of material per unit mass of feedstock	Mass Ratio	kg / tonne

---

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Metered electricity use emissions

key: metered_energy_based_ci_emissions

Emissions based on electricity use between two meter readings multiplied by its carbon emission factor.

Calculations

$\text{result} = energy\_use \times carbon\_intensity$

$\text{energy\_use} = final\_readout - initial\_readout$

Inputs

Input Key	Display Name	Type	Example Unit
carbon_intensity	Carbon emission factor of energy	Energy Carbon Emission Factor	kgCO2e / kWh
final_readout	Final readout	Energy	kWh
initial_readout	Initial readout	Energy	kWh

---

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Proportional and additional mine emissions

key: proportional_and_additional_mine_energy_emissions

Emissions related to fuel, emulsion and electricity use, based on proportion of rock powder used and overall electricity use amplifications.

Calculations

$\text{result} = electricity\_use\_for\_deployed\_rock\_powder \times electricity\_carbon\_intensity$

$\text{electricity\_use\_for\_deployed\_rock\_powder} = \frac{rock\_powder\_deployed}{total\_rock\_output} \times proportional\_electricity\_use + rock\_powder\_deployed\_proportion \times additional\_electricity\_use$

$\text{proportional\_electricity\_use} = total\_electricity\_use \times (1 - energy\_use\_amplification)$

$\text{rock\_powder\_deployed\_proportion} = \frac{rock\_powder\_deployed}{rock\_powder\_output}$

$\text{additional\_electricity\_use} = total\_electricity\_use \times energy\_use\_amplification$

Inputs

Input Key	Display Name	Type	Example Unit
electricity_carbon_intensity	Carbon emission factor of electricity	Energy Carbon Emission Factor	kgCO2e / kWh
energy_use_amplification	Overall electricity use increase	Percentage	%
rock_powder_deployed	Rock powder deployed	Mass	kg
rock_powder_output	Rock powder output	Mass	kg
total_electricity_use	Overall electricity use	Energy	kWh
total_rock_output	Total rock output	Mass	kg

---

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Time-based grid electricity use emissions

key: time_based_grid_electricity_use

Amount of CO₂ emitted, given a time, average power draw and energy carbon emission factor.

Calculations

$\text{result} = time \times average\_power \times grid\_carbon\_intensity$

Inputs

Input Key	Display Name	Type	Example Unit
average_power	Average power draw	Power	watts
grid_carbon_intensity	CO₂e emitted per unit of electricity consumed	Energy Carbon Emission Factor	kgCO2e / kWh
time	Time the power was been drawn for	Time	second

---

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Transport emissions

key: transport

Emissions related to transporting a load, based on a distance-mass method.

Calculations

$\text{result} = mass \times distance \times carbon\_intensity$

Inputs

Input Key	Display Name	Type	Example Unit
carbon_intensity	Emission factor of transport	Mass Distance Carbon Emission Factor	kgCO2e / (tonne * km)
distance	Distance travelled	Distance	km
mass	Mass of load	Mass	kg

---

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Volume per feedstock-unit mass based emissions

key: specific_volume_based_emissions

Calculates emissions based on a volume of material used per unit feedstock mass.

Calculations

$\text{result} = volume\_material\_per\_mass \times emissions\_factor \times feedstock\_mass$

Inputs

Input Key	Display Name	Type	Example Unit
emissions_factor	Volume carbon emission factor	Volume Carbon Emission Factor	kgCO2e / litre
feedstock_mass	Mass of feedstock	Mass	kg
volume_material_per_mass	Volume of material per unit mass of feedstock	Specific Volume	m^3 / kg

---

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Volume-based emissions

key: volume_based_ci_emissions

Emissions based on multiplying a volume by its carbon emission factor.

Calculations

$\text{result} = volume \times carbon\_intensity$

Inputs

Input Key	Display Name	Type	Example Unit
carbon_intensity	Volume carbon emission factor	Volume Carbon Emission Factor	kgCO2e / litre
volume	Volume	Volume	litre

---

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Counterfactual Component Blueprints

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Feedstock replacement emissions

key: feedstock_replacement_emissions

Replacement emissions based on multiplying a mass of feedstock by its replacement emissions factor.

Calculations

$\text{result} = mass\_of\_feedstock \times replacement\_emissions\_factor$

Inputs

Input Key	Display Name	Type	Example Unit
mass_of_feedstock	Mass of feedstock	Mass	kg
replacement_emissions_factor	Replacement emissions factor for feedstock	Mass Carbon Emission Factor	kgCO2e / kg

---

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Zero tCO₂e counterfactual

key: zero_counterfactual

This counterfactual has been considered and the effect has deemed to be zero.

Calculations

$\text{result} = \overset{Zero\ tCO₂e\ counterfactual}{\text{0.0tCO2e}}$

This component has no inputs.

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Loss Component Blueprints

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CO₂e lost to strong acid weathering

key: ew_loss_strong_acid_from_fertilizer_use

CO₂e lost to strong acid from fertilizer use

Calculations

$\text{result} = \frac{fertilizer\_application\_rate \times rock\_spread\_area \times \overset{CO₂\ molar\ mass}{\text{44.01gram / mole}} \times nitrogen\_density}{\overset{Nitrogen\ molar\ mass}{\text{28.02gram / mole}} \times fertilizer\_density}$

Inputs

Input Key	Display Name	Type	Example Unit
fertilizer_application_rate	Fertilizer application rate	Mass Per Area	kg / m^2
fertilizer_density	Fertilizer density	Density	kg / m^3
nitrogen_density	Nitrogen density in fertilizer	Density	kg / m^3
rock_spread_area	Rock spread area	Area	ha

---

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Cation exchange capacity loss

key: ew_cec_loss

Enhanced weathering cation exchange capacity loss

Calculations

$\text{result} = all\_\_cation\_concentration\_increase\_over\_control \times soil\_density \times soil\_sampling\_depth \times rock\_spread\_area \times \overset{CO₂\ molar\ mass}{\text{44.01gram / mole}}$

$\text{all\_\_cation\_concentration\_increase\_over\_control} = all\_\_cation\_concentration\_increase\_in\_deployment - all\_\_cation\_concentration\_increase\_in\_control$

$\text{all\_\_cation\_concentration\_increase\_in\_deployment} = \overline{all\_\_deployment\_end\_of\_reporting\_period\_concentration} - \overline{all\_\_deployment\_baseline\_concentration}$

$\text{all\_\_cation\_concentration\_increase\_in\_control} = \overline{all\_\_control\_end\_of\_reporting\_period\_concentration} - \overline{all\_\_control\_baseline\_concentration}$

Inputs

Input Key	Display Name	Type	Example Unit
all__control_baseline_concentration	Baseline concentration of cation in soil exchangeable fraction	Molality List	mmol / kg
all__control_end_of_reporting_period_concentration	End of reporting period concentration of cation in soil exchangeable fraction	Molality List	mmol / kg
all__deployment_baseline_concentration	Baseline concentration of cation in soil exchangeable fraction	Molality List	mmol / kg
all__deployment_end_of_reporting_period_concentration	End of reporting period concentration of cation in soil exchangeable fraction	Molality List	mmol / kg
rock_spread_area	Rock spread area	Area	ha
soil_density	Soil density	Density	kg / m^3
soil_sampling_depth	Soil sampling depth	Distance	km

---

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Constant CO₂ loss

key: constant_loss

Amount of CO₂ lost before it reached permanent storage.

Calculations

$\text{result} = constant\_loss$

Inputs

Input Key	Display Name	Type	Example Unit
constant_loss	Constant CO₂ loss	Mass Carbon	kgCO2e

---

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Reduction Component Blueprints

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Constant CO₂ reduction

key: constant_reduction

Amount of CO₂ activity emissions that have been reduced by other claims.

Calculations

$\text{result} = constant\_reduction$

Inputs

Input Key	Display Name	Type	Example Unit
constant_reduction	Constant CO₂ reduction	Mass Carbon	kgCO2e

---

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Sequestration Component Blueprints

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Biomass burial with moisture correction

key: biomass_burial_with_moisture_correction

Amount of CO₂ stored, given a carbon concentration, mass and moisture contents.

Calculations

$\text{result} = carbon\_content \times buried\_mass \times co2e\_of\_carbon \times moisture\_correction$

$\text{moisture\_correction} = \frac{(1 - average\_material\_moisture\_content)}{(1 - average\_sampled\_moisture\_content)}$

Inputs

Input Key	Display Name	Type	Example Unit
average_material_moisture_content	Average moisture content across all material buried	Unitless	n/a
average_sampled_moisture_content	Average moisture content in samples used to determine carbon content	Unitless	n/a
buried_mass	Mass of injectant buried	Mass	kg
carbon_content	Carbon content of injectant	Unitless	n/a
co2e_of_carbon	CO₂ equivalent of pure carbon	Unitless	n/a

---

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Biomass injection from winsorized mean

key: biomass_injection_from_winsorized_mean

Amount of CO₂ stored, given a mass and multiple measured carbon concentration values, from which a mean is calculated. Outliers for the mean are accounted for by winsorizing the measured carbon contents with mean and standard deviation calculated from historical carbon contents from the same feedstock.

Calculations

$\text{result} = injectant\_mass \times mean\_carbon\_content \times co2e\_of\_carbon$

$\text{mean\_carbon\_content} = \text{WinsorizedMean}(injectant\_carbon\_content\_measurements,\allowbreak historical\_carbon\_content\_measurements)$

Inputs

Input Key	Display Name	Type	Example Unit
co2e_of_carbon	CO₂ equivalent of pure carbon	Unitless	n/a
historical_carbon_content_measurements	Historical carbon content measurements of injectant	Unitless List	n/a
injectant_carbon_content_measurements	Carbon content measurements of injectant	Unitless List	n/a
injectant_mass	Mass of injectant	Mass	kg

---

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Blended bio oil injection

key: blended_bio_oil_injection

Amount of CO₂ stored, given a carbon concentration and mass.

Calculations

$\text{result} = \overline{unblended\_bio\_oil\_carbon\_contents} \times unblended\_bio\_oil\_mass \times co2e\_of\_carbon$

$\text{unblended\_bio\_oil\_mass} = blended\_bio\_oil\_mass - liquid\_caustic\_soda\_mass - salt\_mass$

Inputs

Input Key	Display Name	Type	Example Unit
blended_bio_oil_mass	Total mass of injectant after blending	Mass	kg
co2e_of_carbon	CO₂ equivalent of pure carbon	Unitless	n/a
liquid_caustic_soda_mass	Liquid caustic soda mass	Mass	kg
salt_mass	Mass of salt	Mass	kg
unblended_bio_oil_carbon_contents	Carbon content of unblended bio-oil	Unitless List	n/a

---

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CO₂ removed from weathering using TICAT method

key: enhanced_weathering_sequestration_ticat

CO₂ removed from weathering using the TICAT method described in Reershemius et al 2023.

Calculations

$\text{result} = ca\_co2\_removed + mg\_co2\_removed + na\_co2\_removed$

$\text{ca\_co2\_removed} = \frac{feedstock\_mass \times ca\_feedstock\_mass\_fraction \times conservative\_mean\_ca\_weathered\_fraction}{\overset{Calcium\ molar\ mass}{\text{40.078gram / mole}}} \times \overset{CO₂\ molar\ mass}{\text{44.01gram / mole}} \times \overset{Calcium\ charge}{\text{2.0}}$

$\text{conservative\_mean\_ca\_weathered\_fraction} = \text{ConservativeMeanBootstrapEstimator}(outlier\_detection\_ca\_weathered\_fraction)$

$\text{outlier\_detection\_ca\_weathered\_fraction} = \text{ModifiedZScoreOutlierDetection}(ca\_weathered\_fraction)$

$\text{ca\_weathered\_fraction} = \frac{ca\_lost}{\frac{tracer\_soil\_mass\_fraction\_increase}{tracer\_feedstock\_baseline\_diff} \times ca\_feedstock\_mass\_fraction\_surplus}$

$\text{ca\_lost} = \frac{tracer\_soil\_mass\_fraction\_increase}{tracer\_feedstock\_baseline\_diff} \times ca\_feedstock\_mass\_fraction\_surplus + ca\_baseline\_soil\_mass\_fraction - ca\_end\_soil\_mass\_fraction$

$\text{tracer\_soil\_mass\_fraction\_increase} = tracer\_end\_soil\_mass\_fraction - tracer\_baseline\_soil\_mass\_fraction$

$\text{tracer\_feedstock\_baseline\_diff} = tracer\_feedstock\_mass\_fraction - tracer\_baseline\_soil\_mass\_fraction$

$\text{ca\_feedstock\_mass\_fraction\_surplus} = ca\_feedstock\_mass\_fraction - ca\_baseline\_soil\_mass\_fraction$

$\text{mg\_co2\_removed} = \frac{feedstock\_mass \times mg\_feedstock\_mass\_fraction \times conservative\_mean\_mg\_weathered\_fraction}{\overset{Magnesium\ molar\ mass}{\text{24.305gram / mole}}} \times \overset{CO₂\ molar\ mass}{\text{44.01gram / mole}} \times \overset{Magnesium\ charge}{\text{2.0}}$

$\text{conservative\_mean\_mg\_weathered\_fraction} = \text{ConservativeMeanBootstrapEstimator}(outlier\_detection\_mg\_weathered\_fraction)$

$\text{outlier\_detection\_mg\_weathered\_fraction} = \text{ModifiedZScoreOutlierDetection}(mg\_weathered\_fraction)$

$\text{mg\_weathered\_fraction} = \frac{mg\_lost}{\frac{tracer\_soil\_mass\_fraction\_increase}{tracer\_feedstock\_baseline\_diff} \times mg\_feedstock\_mass\_fraction\_surplus}$

$\text{mg\_lost} = \frac{tracer\_soil\_mass\_fraction\_increase}{tracer\_feedstock\_baseline\_diff} \times mg\_feedstock\_mass\_fraction\_surplus + mg\_baseline\_soil\_mass\_fraction - mg\_end\_soil\_mass\_fraction$

$\text{tracer\_soil\_mass\_fraction\_increase} = tracer\_end\_soil\_mass\_fraction - tracer\_baseline\_soil\_mass\_fraction$

$\text{tracer\_feedstock\_baseline\_diff} = tracer\_feedstock\_mass\_fraction - tracer\_baseline\_soil\_mass\_fraction$

$\text{mg\_feedstock\_mass\_fraction\_surplus} = mg\_feedstock\_mass\_fraction - mg\_baseline\_soil\_mass\_fraction$

$\text{na\_co2\_removed} = \frac{feedstock\_mass \times na\_feedstock\_mass\_fraction \times conservative\_mean\_na\_weathered\_fraction}{\overset{Sodium\ molar\ mass}{\text{22.99gram / mole}}} \times \overset{CO₂\ molar\ mass}{\text{44.01gram / mole}} \times \overset{Sodium\ charge}{\text{1.0}}$

$\text{conservative\_mean\_na\_weathered\_fraction} = \text{ConservativeMeanBootstrapEstimator}(outlier\_detection\_na\_weathered\_fraction)$

$\text{outlier\_detection\_na\_weathered\_fraction} = \text{ModifiedZScoreOutlierDetection}(na\_weathered\_fraction)$

$\text{na\_weathered\_fraction} = \frac{na\_lost}{\frac{tracer\_soil\_mass\_fraction\_increase}{tracer\_feedstock\_baseline\_diff} \times na\_feedstock\_mass\_fraction\_surplus}$

$\text{na\_lost} = \frac{tracer\_soil\_mass\_fraction\_increase}{tracer\_feedstock\_baseline\_diff} \times na\_feedstock\_mass\_fraction\_surplus + na\_baseline\_soil\_mass\_fraction - na\_end\_soil\_mass\_fraction$

$\text{tracer\_soil\_mass\_fraction\_increase} = tracer\_end\_soil\_mass\_fraction - tracer\_baseline\_soil\_mass\_fraction$

$\text{tracer\_feedstock\_baseline\_diff} = tracer\_feedstock\_mass\_fraction - tracer\_baseline\_soil\_mass\_fraction$

$\text{na\_feedstock\_mass\_fraction\_surplus} = na\_feedstock\_mass\_fraction - na\_baseline\_soil\_mass\_fraction$

Inputs

Input Key	Display Name	Type	Example Unit
ca_baseline_soil_mass_fraction	Baseline calcium mass fraction in soil	Mass Fraction List	ppm
ca_end_soil_mass_fraction	Calcium mass fraction in soil at end of reporting period	Mass Fraction List	ppm
ca_feedstock_mass_fraction	Calcium mass fraction in feedstock	Mass Fraction	ppm
feedstock_mass	Mass of feedstock	Mass	kg
mg_baseline_soil_mass_fraction	Baseline magnesium mass fraction in soil	Mass Fraction List	ppm
mg_end_soil_mass_fraction	Magnesium mass fraction in soil at end of reporting period	Mass Fraction List	ppm
mg_feedstock_mass_fraction	Magnesium mass fraction in feedstock	Mass Fraction	ppm
na_baseline_soil_mass_fraction	Baseline sodium mass fraction in soil	Mass Fraction List	ppm
na_end_soil_mass_fraction	Sodium mass fraction in soil at end of reporting period	Mass Fraction List	ppm
na_feedstock_mass_fraction	Sodium mass fraction in feedstock	Mass Fraction	ppm
tracer_baseline_soil_mass_fraction	Tracer mass fraction in soil before application	Mass Fraction List	ppm
tracer_end_soil_mass_fraction	Tracer mass fraction in soil at end of reporting period	Mass Fraction List	ppm
tracer_feedstock_mass_fraction	Tracer mass fraction in feedstock	Mass Fraction	ppm

---

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CO₂ removed from weathering using tracer ratio method

key: enhanced_weathering_sequestration_ticat_ratio

CO₂ removed from weathering using the tracer ratio method.

Calculations

$\text{result} = \frac{average\_f\_d \times feedstock\_mass \times cation\_feedstock\_concentration \times cation\_charge \times co2\_molar\_mass}{cation\_molar\_mass}$

$\text{average\_f\_d} = \text{ConservativeMeanBootstrapEstimator}(f\_d\_no\_outliers)$

$\text{f\_d\_no\_outliers} = \text{ModifiedZScoreOutlierDetection}(f\_d)$

$\text{f\_d} = \frac{cation\_added\_from\_feedstock + cation\_baseline\_soil\_concentration - cation\_post\_application\_concentration}{cation\_feedstock\_concentration \times feedstock\_mass\_fraction}$

$\text{cation\_added\_from\_feedstock} = feedstock\_mass\_fraction \times cation\_feedstock\_concentration - cation\_baseline\_soil\_concentration$

$\text{feedstock\_mass\_fraction} = \frac{feedstock\_mass\_fraction\_numerator}{feedstock\_mass\_fraction\_denominator}$

$\text{feedstock\_mass\_fraction\_numerator} = immobile\_tracer\_ratio \times tracer\_2\_baseline\_soil\_concentration - tracer\_1\_baseline\_soil\_concentration$

$\text{immobile\_tracer\_ratio} = \frac{tracer\_1\_post\_application\_concentration}{tracer\_2\_post\_application\_concentration}$

$\text{feedstock\_mass\_fraction\_denominator} = tracer\_1\_feedstock\_concentration - tracer\_1\_baseline\_soil\_concentration - immobile\_tracer\_ratio \times tracer\_2\_feedstock\_concentration - tracer\_2\_baseline\_soil\_concentration$

$\text{immobile\_tracer\_ratio} = \frac{tracer\_1\_post\_application\_concentration}{tracer\_2\_post\_application\_concentration}$

$\text{feedstock\_mass\_fraction} = \frac{feedstock\_mass\_fraction\_numerator}{feedstock\_mass\_fraction\_denominator}$

$\text{feedstock\_mass\_fraction\_numerator} = immobile\_tracer\_ratio \times tracer\_2\_baseline\_soil\_concentration - tracer\_1\_baseline\_soil\_concentration$

$\text{immobile\_tracer\_ratio} = \frac{tracer\_1\_post\_application\_concentration}{tracer\_2\_post\_application\_concentration}$

$\text{feedstock\_mass\_fraction\_denominator} = tracer\_1\_feedstock\_concentration - tracer\_1\_baseline\_soil\_concentration - immobile\_tracer\_ratio \times tracer\_2\_feedstock\_concentration - tracer\_2\_baseline\_soil\_concentration$

$\text{immobile\_tracer\_ratio} = \frac{tracer\_1\_post\_application\_concentration}{tracer\_2\_post\_application\_concentration}$

Inputs

Input Key	Display Name	Type	Example Unit
cation_baseline_soil_concentration	Cation concentration in baseline soil	Mass Fraction List	ppm
cation_charge	Cation charge	Unitless	n/a
cation_feedstock_concentration	Cation concentration in feedstock	Mass Fraction	ppm
cation_molar_mass	Molar mass of cation	Molar Mass	g / mol
cation_post_application_concentration	Cation concentration in soil at end of reporting period	Mass Fraction List	ppm
co2_molar_mass	Molar mass of CO₂	Molar Mass	g / mol
feedstock_mass	Mass of feedstock	Mass	kg
tracer_1_baseline_soil_concentration	Tracer 1 concentration in baseline soil	Mass Fraction List	ppm
tracer_1_feedstock_concentration	Tracer 1 concentration in feedstock	Mass Fraction	ppm
tracer_1_post_application_concentration	Tracer 1 concentration in soil at end of reporting period	Mass Fraction List	ppm
tracer_2_baseline_soil_concentration	Tracer 2 concentration in baseline soil	Mass Fraction List	ppm
tracer_2_feedstock_concentration	Tracer 2 concentration in feedstock	Mass Fraction	ppm
tracer_2_post_application_concentration	Tracer 2 concentration in soil at end of reporting period	Mass Fraction List	ppm

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CO₂e sequestered post losses

key: iemt_with_losses_2024_11

CO₂ removed from weathering using the immobile element method described in Reershemius et al 2023.

Calculations

$\text{result} = sequestration\_output\_total - strong\_acid\_loss - plant\_uptake\_loss \times river\_retention\_factor \times ocean\_retention\_factor$

$\text{sequestration\_output\_total} = ca\_sequestration\_output + mg\_sequestration\_output$

$\text{ca\_sequestration\_output} = \frac{ca\_average\_f\_d \times feedstock\_mass \times ca\_cation\_feedstock\_concentration \times \overset{Calcium\ charge}{\text{2.0}} \times \overset{CO₂\ molar\ mass}{\text{44.01gram / mole}}}{\overset{Calcium\ molar\ mass}{\text{40.078gram / mole}}}$

$\text{ca\_average\_f\_d} = \text{ConservativeMeanBootstrapEstimatorWithOutlierDetection}(ca\_f\_d)$

$\text{ca\_f\_d} = \frac{ca\_cation\_added\_from\_feedstock + ca\_cation\_baseline\_soil\_concentration - ca\_cation\_post\_application\_concentration - ca\_\_control\_correction}{ca\_cation\_feedstock\_concentration \times \frac{tracer\_soil\_concentration\_increase}{tracer\_feedstock\_baseline\_diff}}$

$\text{ca\_cation\_added\_from\_feedstock} = \frac{tracer\_soil\_concentration\_increase}{tracer\_feedstock\_baseline\_diff} \times ca\_cation\_feedstock\_concentration - ca\_cation\_baseline\_soil\_concentration$

$\text{tracer\_soil\_concentration\_increase} = tracer\_post\_application\_concentration - tracer\_baseline\_soil\_concentration$

$\text{tracer\_feedstock\_baseline\_diff} = tracer\_feedstock\_concentration - tracer\_baseline\_soil\_concentration$

$\text{ca\_\_control\_correction} = \overline{ca\_cation\_baseline\_soil\_concentration\_control} - \overline{ca\_cation\_post\_application\_concentration\_control}$

$\text{tracer\_soil\_concentration\_increase} = tracer\_post\_application\_concentration - tracer\_baseline\_soil\_concentration$

$\text{tracer\_feedstock\_baseline\_diff} = tracer\_feedstock\_concentration - tracer\_baseline\_soil\_concentration$

$\text{mg\_sequestration\_output} = \frac{mg\_average\_f\_d \times feedstock\_mass \times mg\_cation\_feedstock\_concentration \times \overset{Magnesium\ charge}{\text{2.0}} \times \overset{CO₂\ molar\ mass}{\text{44.01gram / mole}}}{\overset{Magnesium\ molar\ mass}{\text{24.305gram / mole}}}$

$\text{mg\_average\_f\_d} = \text{ConservativeMeanBootstrapEstimatorWithOutlierDetection}(mg\_f\_d)$

$\text{mg\_f\_d} = \frac{mg\_cation\_added\_from\_feedstock + mg\_cation\_baseline\_soil\_concentration - mg\_cation\_post\_application\_concentration - mg\_\_control\_correction}{mg\_cation\_feedstock\_concentration \times \frac{tracer\_soil\_concentration\_increase}{tracer\_feedstock\_baseline\_diff}}$

$\text{mg\_cation\_added\_from\_feedstock} = \frac{tracer\_soil\_concentration\_increase}{tracer\_feedstock\_baseline\_diff} \times mg\_cation\_feedstock\_concentration - mg\_cation\_baseline\_soil\_concentration$

$\text{tracer\_soil\_concentration\_increase} = tracer\_post\_application\_concentration - tracer\_baseline\_soil\_concentration$

$\text{tracer\_feedstock\_baseline\_diff} = tracer\_feedstock\_concentration - tracer\_baseline\_soil\_concentration$

$\text{mg\_\_control\_correction} = \overline{mg\_cation\_baseline\_soil\_concentration\_control} - \overline{mg\_cation\_post\_application\_concentration\_control}$

$\text{tracer\_soil\_concentration\_increase} = tracer\_post\_application\_concentration - tracer\_baseline\_soil\_concentration$

$\text{tracer\_feedstock\_baseline\_diff} = tracer\_feedstock\_concentration - tracer\_baseline\_soil\_concentration$

Inputs

Input Key	Display Name	Type	Example Unit
ca_cation_baseline_soil_concentration	Baseline calcium mass fraction in soil	Mass Fraction List	ppm
ca_cation_baseline_soil_concentration_control	Calcium mass fraction in control baseline soil	Mass Fraction List	ppm
ca_cation_feedstock_concentration	Calcium mass fraction in feedstock	Mass Fraction	ppm
ca_cation_post_application_concentration	Calcium mass fraction in soil at end of reporting period	Mass Fraction List	ppm
ca_cation_post_application_concentration_control	Calcium mass fraction in control soil at end of reporting period	Mass Fraction List	ppm
feedstock_mass	Mass of feedstock	Mass	kg
mg_cation_baseline_soil_concentration	Baseline magnesium mass fraction in soil	Mass Fraction List	ppm
mg_cation_baseline_soil_concentration_control	Magnesium mass fraction in control baseline soil	Mass Fraction List	ppm
mg_cation_feedstock_concentration	Magnesium mass fraction in feedstock	Mass Fraction	ppm
mg_cation_post_application_concentration	Magnesium mass fraction in soil at end of reporting period	Mass Fraction List	ppm
mg_cation_post_application_concentration_control	Magnesium mass fraction in control soil at end of reporting period	Mass Fraction List	ppm
ocean_retention_factor	Percentage of CO₂ retained after losses in ocean storage	Percentage	%
plant_uptake_loss	Plant uptake loss	Mass Carbon	kgCO2e
river_retention_factor	Percentage of CO₂ retained after losses in river runoff	Percentage	%
strong_acid_loss	Strong acid loss	Mass Carbon	kgCO2e
tracer_baseline_soil_concentration	Tracer mass fraction in soil before application	Mass Fraction List	ppm
tracer_feedstock_concentration	Tracer mass fraction in feedstock	Mass Fraction	ppm
tracer_post_application_concentration	Tracer mass fraction in soil at end of reporting period	Mass Fraction List	ppm

---

​

Carbon rich substance injection

key: carbon_rich_substance_injection

Amount of CO₂ stored, given a carbon concentration and mass.

Calculations

$\text{result} = injectant\_mass \times carbon\_content \times co2e\_of\_carbon$

Inputs

Input Key	Display Name	Type	Example Unit
carbon_content	Carbon content of injectant	Unitless	n/a
co2e_of_carbon	CO₂ equivalent of pure carbon	Unitless	n/a
injectant_mass	Mass of injectant	Mass	kg

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​

Carbon rich substance injection from mean

key: carbon_rich_substance_injection_from_mean

Amount of CO₂ stored, given a mass and multiple supplied carbon concentration values, from which a mean is calculated.

Calculations

$\text{result} = injectant\_mass \times \overline{carbon\_contents} \times co2e\_of\_carbon$

Inputs

Input Key	Display Name	Type	Example Unit
carbon_contents	Carbon content of injectant	Unitless List	n/a
co2e_of_carbon	CO₂ equivalent of pure carbon	Unitless	n/a
injectant_mass	Mass of injectant	Mass	kg

---

​

Carbon rich substance injection with estimate

key: carbon_rich_substance_injection_with_estimation

Amount of CO₂ stored. The carbon content is calculated from carbon content samples of the same feedstock from different removals. The carbon concentration is then calculated by winsorizing using a three standard deviation limit, then taking the mean and subtracting one standard error to account for sample variability.

Calculations

$\text{result} = injectant\_mass \times estimated\_discounted\_carbon\_content \times co2e\_of\_carbon$

$\text{estimated\_discounted\_carbon\_content} = \text{WinsorizedMean}(carbon\_contents,\allowbreak carbon\_contents) - \text{WinsorizedStandardError}(carbon\_contents,\allowbreak carbon\_contents)$

Inputs

Input Key	Display Name	Type	Example Unit
carbon_contents	Estimated carbon content of injectant	Unitless List	n/a
co2e_of_carbon	CO₂ equivalent of pure carbon	Unitless	n/a
injectant_mass	Mass of injectant	Mass	kg

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​

Off-platform sequestration

key: off_platform_sequestration

Constant sequestration representing a calculation that is done outside of the Isometric system. This blueprint should be used for testing sequestration values before we can represent them with a more detailed blueprint, and not for ‘production’ removal data.

Calculations

$\text{result} = off\_platform\_sequestration$

Inputs

Input Key	Display Name	Type	Example Unit
off_platform_sequestration	Off-platform sequestration	Mass Carbon	kgCO2e

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​

Total plant uptake loss

key: ew_plant_uptake_from_sample

Calculates the plant uptake from a sample of locations

Calculations

$\text{result} = co\_lost\_per\_unit\_area\_from\_calcium + co\_lost\_per\_unit\_area\_from\_magnesium \times rock\_spread\_area$

$\text{co\_lost\_per\_unit\_area\_from\_calcium} = cations\_lost\_due\_to\_plant\_uptake\_of\_calcium \times \overset{Calcium\ charge}{\text{2.0}} \times \frac{\overset{CO₂\ molar\ mass}{\text{44.01gram / mole}}}{\overset{Calcium\ molar\ mass}{\text{40.078gram / mole}}}$

$\text{cations\_lost\_due\_to\_plant\_uptake\_of\_calcium} = \overline{deployment\_ca\_concentration} \times \frac{\sum deployment\_total\_yield}{\sum deployment\_total\_area} - \overline{control\_ca\_concentration} \times counterfactual\_yield$

$\text{counterfactual\_yield} = yield\_ratio \times \frac{\sum deployment\_total\_yield}{\sum deployment\_total\_area}$

$\text{yield\_ratio} = \frac{\frac{\sum control\_sample\_yield}{\sum control\_sample\_area}}{\frac{\sum deployment\_sample\_yield}{\sum deployment\_sample\_area}}$

$\text{co\_lost\_per\_unit\_area\_from\_magnesium} = cations\_lost\_due\_to\_plant\_uptake\_of\_magnesium \times \overset{Magnesium\ charge}{\text{2.0}} \times \frac{\overset{CO₂\ molar\ mass}{\text{44.01gram / mole}}}{\overset{Magnesium\ molar\ mass}{\text{24.305gram / mole}}}$

$\text{cations\_lost\_due\_to\_plant\_uptake\_of\_magnesium} = \overline{deployment\_mg\_concentration} \times \frac{\sum deployment\_total\_yield}{\sum deployment\_total\_area} - \overline{control\_mg\_concentration} \times counterfactual\_yield$

$\text{counterfactual\_yield} = yield\_ratio \times \frac{\sum deployment\_total\_yield}{\sum deployment\_total\_area}$

$\text{yield\_ratio} = \frac{\frac{\sum control\_sample\_yield}{\sum control\_sample\_area}}{\frac{\sum deployment\_sample\_yield}{\sum deployment\_sample\_area}}$

Inputs

Input Key	Display Name	Type	Example Unit
control_ca_concentration	Calcium concentration in control	Mass Fraction List	ppm
control_mg_concentration	Magnesium concentration in control	Mass Fraction List	ppm
control_sample_area	Control sample area	Area List	ha
control_sample_yield	Control sample yield	Mass List	kg
deployment_ca_concentration	Calcium concentration in deployment	Mass Fraction List	ppm
deployment_mg_concentration	Magnesium concentration in deployment	Mass Fraction List	ppm
deployment_sample_area	Deployment sample area	Area List	ha
deployment_sample_yield	Deployment sample yield	Mass List	kg
deployment_total_area	Deployment total area	Area List	ha
deployment_total_yield	Deployment total yield	Mass List	kg
rock_spread_area	Rock spread area	Area	ha

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