Bubble Nucleation Supersaturation Drop

Screen Laplace critical radius after a caller decompression while gas-equivalent pressure remains fixed; homogeneous nucleation barriers/kinetics and eruption triggering are not established.

Description

Surface tension opposes bubble growth through Laplace pressure.

Surface tension opposes bubble growth through Laplace pressure. A larger supersaturation permits a smaller critical bubble radius.

Screen Laplace critical radius after a caller decompression while gas-equivalent pressure remains fixed; homogeneous nucleation barriers/kinetics and eruption triggering are not established.

When to use Bubble Nucleation Supersaturation Drop

Use this tool to screen Laplace critical radius after a caller decompression while gas-equivalent pressure remains fixed; homogeneous nucleation barriers/kinetics and eruption triggering are not established.

Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.

How to use Bubble Nucleation Supersaturation Drop and understand its results

Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
Enter surfaceTensionNPerM, initialGasEquivalentPressurePa, initialAmbientPressurePa, pressureDropPa, preexistingBubbleRadiusM using the field table and calculation rules, then run the tool.
Read finalSupersaturationPressurePa, criticalBubbleRadiusM, callerNucleusCanGrowUnderModel. The explanation below defines the units, signs, ordering and any flags or placeholder values.
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 field	Meaning	Value type; see rules below	Requirement
surfaceTensionNPerM	Surface tension n per m	number	Required
initialGasEquivalentPressurePa	Initial gas equivalent pressure Pa	number	Required
initialAmbientPressurePa	Initial ambient pressure Pa	number	Required
pressureDropPa	Pressure drop Pa	number	Required
preexistingBubbleRadiusM	Preexisting bubble radius m	number	Required

Use positive tension, pressures and nucleus radius, and nonnegative decompression. Require final ambient pressure and gas-minus-ambient excess positive. Compare nucleus radius at or above the critical radius.^[1]

critical radius = 2 × surface tension/final supersaturation pressure

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

Output field	Meaning	Value type
finalSupersaturationPressurePa	Final supersaturation pressure Pa	number
criticalBubbleRadiusM	Critical bubble radius m	number
callerNucleusCanGrowUnderModel	Caller nucleus can grow under model	boolean

json

{
  "input": {
    "surfaceTensionNPerM": 0.1,
    "initialGasEquivalentPressurePa": 200000,
    "initialAmbientPressurePa": 190000,
    "pressureDropPa": 10000,
    "preexistingBubbleRadiusM": 0.00001
  },
  "output": {
    "finalSupersaturationPressurePa": 20000,
    "criticalBubbleRadiusM": 0.00001,
    "callerNucleusCanGrowUnderModel": true
  }
}

Limitations and assumptions

Gas-equivalent pressure stays fixed; nucleation barriers, kinetics and eruption triggering are excluded.

Numbers and computed results must be finite; overflow produces an error. 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 Volatile Solubility Degassing Fraction: Solve single-volatile closed-system exsolution conserving nonvolatile melt while saturation is defined on residual melt mass; not a naive initial-fraction difference or a pressure-solubility reference table. For a complementary task, use Limnic CO2 Overturn Nyos Risk Checker: Compare total caller Henry-equivalent gas pressure to local absolute hydrostatic confinement; this equilibrium supersaturation screen cannot establish lake overturn, nucleation, eruption probability or safety.

References

Bubble Nucleation Supersaturation Drop — tool.io

Similar or alternative tools

Volatile Solubility Degassing Fraction
Solve single-volatile closed-system exsolution conserving nonvolatile melt while saturation is defined on residual melt mass; not a naive initial-fraction difference or a pressure-solubility reference table.
Limnic CO2 Overturn Nyos Risk Checker
Compare total caller Henry-equivalent gas pressure to local absolute hydrostatic confinement; this equilibrium supersaturation screen cannot establish lake overturn, nucleation, eruption probability or safety.