Flotation Fraction Buoyancy Calculator

Audit supplied draft/thickness buoyant support fraction with signed unsupported weight; not thickness inversion or a floating/grounded stability guarantee.

Description

Buoyant support depends on submerged draft relative to total thickness and the two densities.

Buoyant support depends on submerged draft relative to total thickness and the two densities. The ratio can exceed total ice weight.1

Enter positive thickness/densities and draft 0–thickness. Return support, signed unsupported fraction and strict-overweight flag.

When to use Flotation Fraction Buoyancy Calculator

Use Flotation Fraction Buoyancy Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No floating/grounded state, thickness inversion or stability guarantee is inferred.

Prepare the observed ice, snow, water or geometry measurements and explicit calibration parameters requested. Keep coordinates, datum, density and time units consistent.

How to use Flotation Fraction Buoyancy Calculator and understand its results

  1. Prepare the observed ice, snow, water or geometry measurements and explicit calibration parameters requested. Keep coordinates, datum, density and time units consistent.
  2. Enter totalIceThicknessM, submergedDraftM, iceDensityKgM3, waterDensityKgM3 using the field table and calculation rules, then run the tool.
  3. Read buoyantSupportToIceWeightFraction, unsupportedWeightFraction, buoyancyExceedsIceWeight. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
totalIceThicknessMTotal ice thickness mnumberRequired
submergedDraftMSubmerged draft mnumberRequired
iceDensityKgM3Ice density kg m3numberRequired
waterDensityKgM3Water density kg m3numberRequired

Enter positive thickness/densities and draft 0–thickness. Return support, signed unsupported fraction and strict-overweight flag.

support=(waterDensity/iceDensity)×draft/thickness; unsupported=1−support

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
buoyantSupportToIceWeightFractionBuoyant support to ice weight fractionnumber
unsupportedWeightFractionUnsupported weight fractionnumber
buoyancyExceedsIceWeightBuoyancy exceeds ice weightboolean
json
{
  "input": {
    "totalIceThicknessM": 100,
    "submergedDraftM": 80,
    "iceDensityKgM3": 900,
    "waterDensityKgM3": 1000
  },
  "output": {
    "buoyantSupportToIceWeightFraction": 0.888888888888889,
    "unsupportedWeightFraction": 0.11111111111111105,
    "buoyancyExceedsIceWeight": false
  }
}

Limitations and assumptions

No floating/grounded state, thickness inversion or stability guarantee is inferred.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Subglacial Water Pressure Ratio Calculator: Ice overburden provides a reference pressure for subglacial water. Ratios above one should remain visible as superflotation evidence. For a complementary task, use Calving Front Cliff Height Above Water Calculator: Calving-cliff height can be measured relative to both water level and toe. A submerged top remains a signed observation.

References

  1. Flotation Fraction Buoyancy Calculator — tool.io

Similar or alternative tools

Don't forget to set a bookmark for tool.io!
Privacy | Imprint | Cookies