Subglacial Water Pressure Ratio Calculator

Audit observed pressure fractions of ice overburden without clamping superflotation evidence; distinct from signed effective-pressure subtraction and not hydraulic contact stability.

Description

Ice overburden provides a reference pressure for subglacial water.

Ice overburden provides a reference pressure for subglacial water. Ratios above one should remain visible as superflotation evidence.1

Enter aligned nonempty nonnegative pressures/positive thicknesses and positive density/gravity. Return ratios and strict-above-one indices.

When to use Subglacial Water Pressure Ratio Calculator

Use Subglacial Water Pressure Ratio Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No clamping, contact stability or effective-pressure subtraction is performed.

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 Subglacial Water Pressure Ratio 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 observedWaterPressuresPa, iceThicknessesM, iceDensityKgM3, gravityMSecond2 using the field table and calculation rules, then run the tool.
  3. Read waterToOverburdenPressureRatios, aboveOverburdenObservationIndices. 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
observedWaterPressuresPaObserved water pressures Palist of numberRequired
iceThicknessesMIce thicknesses mlist of numberRequired
iceDensityKgM3Ice density kg m3numberRequired
gravityMSecond2Gravity m second2numberRequired

Enter aligned nonempty nonnegative pressures/positive thicknesses and positive density/gravity. Return ratios and strict-above-one indices.

ratio=waterPressure/(iceDensity×gravity×thickness)

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

Output fieldMeaningValue type
waterToOverburdenPressureRatiosWater to overburden pressure ratioslist of number
aboveOverburdenObservationIndicesAbove overburden observation indiceslist of number
json
{
  "input": {
    "observedWaterPressuresPa": [
      0,
      2000
    ],
    "iceThicknessesM": [
      1,
      1
    ],
    "iceDensityKgM3": 1000,
    "gravityMSecond2": 1
  },
  "output": {
    "waterToOverburdenPressureRatios": [
      0,
      2
    ],
    "aboveOverburdenObservationIndices": [
      1
    ]
  }
}

Limitations and assumptions

No clamping, contact stability or effective-pressure subtraction is performed.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Flotation Fraction Buoyancy Calculator: Buoyant support depends on submerged draft relative to total thickness and the two densities. The ratio can exceed total ice weight. 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. Subglacial Water Pressure Ratio Calculator — tool.io

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