Firn Air Content Percentage

Integrate air volume fraction 1−rho/rho_ice through layered firn; assumes pore space is air and excludes liquid water and pressure-compressed gas.

Description

Firn’s pore space lowers its bulk density.

Firn’s pore space lowers its bulk density. Integrating the air fraction through layers gives an air-equivalent column thickness.

Integrate air volume fraction 1−rho/rho_ice through layered firn; assumes pore space is air and excludes liquid water and pressure-compressed gas.

When to use Firn Air Content Percentage

Use this for the following task: Integrate air volume fraction 1−rho/rho_ice through layered firn; assumes pore space is air and excludes liquid water and pressure-compressed gas.

Prepare the measurements and calibration parameters in the declared units. Keep vector entries aligned and choose a consistent spatial frame and time basis.

How to use Firn Air Content Percentage and understand its results

  1. Prepare the measurements and calibration parameters in the declared units. Keep vector entries aligned and choose a consistent spatial frame and time basis.
  2. Enter layerThicknessesM, layerDensitiesKgPerM3, iceDensityKgPerM3 using the field table, then run the tool.
  3. Read firnAirEquivalentThicknessM, columnAirVolumePercent. Interpret flags, units, ordering and placeholder values using the rules below.
  4. Review any reported issue or failed check, correct the supplied values when appropriate, and verify the result in its intended context.
Input fieldMeaningValue type and boundsRequirement
layerThicknessesMLayer thicknesses mlist of number; each entry: numberRequired
layerDensitiesKgPerM3Layer densities kg per m3list of number; each entry: numberRequired
iceDensityKgPerM3Ice density kg per m3numberRequired

Pair positive layer thicknesses/densities and require each density no greater than ice density. Sum air-equivalent thickness and normalize by total column thickness.1

airThickness = Σ layerH(1−ρlayer/ρice); airPercent = 100 airThickness/ΣlayerH

This summarizes the declared operation. Units, indexing, inclusivity and exceptional cases are explained in the surrounding text.

Output fieldMeaningValue type
firnAirEquivalentThicknessMFirn air equivalent thickness mnumber
columnAirVolumePercentColumn air volume percentnumber
json
{
  "input": {
    "layerThicknessesM": [
      10,
      20
    ],
    "layerDensitiesKgPerM3": [
      450,
      900
    ],
    "iceDensityKgPerM3": 900
  },
  "output": {
    "firnAirEquivalentThicknessM": 5,
    "columnAirVolumePercent": 16.666666666666668
  }
}

Limitations and assumptions

Pores are assumed air-filled. Liquid water and pressure-compressed gas are excluded.

Constants and empirical coefficients are supplied rather than calibrated. Check units and observational applicability before interpreting the model. Malformed requests produce input errors. A successfully evaluated request can still contain false flags, empty result lists or a result outside the supplied threshold; those outcomes have the meanings stated above.

Alternative or Complementary methods

Choose Firn Density Depth Profile for this operation: Evaluate an explicitly calibrated exponential firn density-depth profile; distinct from stage-specific temperature/accumulation densification kinetics. For a complementary task, use Freeboard Flotation Requirement for this operation: Infer freely floating thickness and draft from measured freeboard with explicit firn-air correction; unsupported if grounded, flexing or under external loads.

The implementation reference documents the exact calculation, supported input shapes and returned fields.

References

  1. Firn Air Content Percentage — tool.io

Similar or alternative tools

  • Firn Density Depth Profile

    Evaluate an explicitly calibrated exponential firn density-depth profile; distinct from stage-specific temperature/accumulation densification kinetics.

  • Freeboard Flotation Requirement

    Infer freely floating thickness and draft from measured freeboard with explicit firn-air correction; unsupported if grounded, flexing or under external loads.

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