Pressure Melting Point Depth
Compute linear pressure-melting depression from ice overburden with supplied Clapeyron slope; solute and gas effects are excluded.
Description
Overburden pressure lowers the melting point of ice.
Overburden pressure lowers the melting point of ice. A linear Clapeyron approximation translates depth into temperature depression.
Compute linear pressure-melting depression from ice overburden with supplied Clapeyron slope; solute and gas effects are excluded.
When to use Pressure Melting Point Depth
Use this for the following task: Compute linear pressure-melting depression from ice overburden with supplied Clapeyron slope; solute and gas effects are excluded.
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 Pressure Melting Point Depth and understand its results
- Prepare the measurements and calibration parameters in the declared units. Keep vector entries aligned and choose a consistent spatial frame and time basis.
- Enter depthsM, iceDensityKgPerM3, gravityMPerSecondSquared, clapeyronKelvinPerPa, surfaceMeltingTemperatureC using the field table, then run the tool.
- Read pressureMeltingTemperaturesC. Interpret flags, units, ordering and placeholder values using the rules below.
- Review any reported issue or failed check, correct the supplied values when appropriate, and verify the result in its intended context.
| Input field | Meaning | Value type and bounds | Requirement |
|---|---|---|---|
| depthsM | Depths m | list of number; each entry: number | Required |
| iceDensityKgPerM3 | Ice density kg per m3 | number | Required |
| gravityMPerSecondSquared | Gravity m per second squared | number | Required |
| clapeyronKelvinPerPa | Clapeyron kelvin per pa | number | Required |
| surfaceMeltingTemperatureC | Surface melting temperature c | number | Required |
Require nonempty nonnegative depths, positive density/gravity and a nonnegative Clapeyron slope. Subtract the depth-dependent depression from the supplied surface melting temperature.1
Tm(z) = surface Tm − βρgz This summarizes the declared operation. Units, indexing, inclusivity and exceptional cases are explained in the surrounding text.
| Output field | Meaning | Value type |
|---|---|---|
| pressureMeltingTemperaturesC | Pressure melting temperatures c | list of number |
{
"input": {
"depthsM": [
0,
100
],
"iceDensityKgPerM3": 900,
"gravityMPerSecondSquared": 10,
"clapeyronKelvinPerPa": 1e-7,
"surfaceMeltingTemperatureC": 0
},
"output": {
"pressureMeltingTemperaturesC": [
0,
-0.09
]
}
}Limitations and assumptions
This excludes solutes, dissolved gas and variations in density or the pressure–temperature relation.
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 Thermal Regime Temperate Polar Checker for this operation: Screen measured depth temperatures against pressure melting with caller tolerance; near-melting ice may be temperate, but spatial coverage, impurities and water content are not inferred. For a complementary task, use Geothermal Flux Basal Melt for this operation: Convert net geothermal-minus-conductive basal heat to signed ice melt under pressure-melting conditions; negative flux represents freezing potential, not guaranteed actual freezing.
The implementation reference documents the exact calculation, supported input shapes and returned fields.
References
-
Pressure Melting Point Depth — tool.io
Similar or alternative tools
- Thermal Regime Temperate Polar Checker
Screen measured depth temperatures against pressure melting with caller tolerance; near-melting ice may be temperate, but spatial coverage, impurities and water content are not inferred.
- Geothermal Flux Basal Melt
Convert net geothermal-minus-conductive basal heat to signed ice melt under pressure-melting conditions; negative flux represents freezing potential, not guaranteed actual freezing.