Mass Eruption Rate From Column Height
Invert a supplied column-height calibration and height measurement bounds into mass-rate scenarios; bounds exclude model uncertainty and are not probabilistic confidence intervals.
Description
Eruption-column height can be related empirically to mass eruption rate.
Eruption-column height can be related empirically to mass eruption rate. Inverting a chosen calibration translates height measurements into rate scenarios.
Invert a supplied column-height calibration and height measurement bounds into mass-rate scenarios; bounds exclude model uncertainty and are not probabilistic confidence intervals.
When to use Mass Eruption Rate From Column Height
Use this tool to invert a supplied column-height calibration and height measurement bounds into mass-rate scenarios; bounds exclude model uncertainty and are not probabilistic confidence intervals.
Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
How to use Mass Eruption Rate From Column Height and understand its results
- Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
- Enter observedColumnHeightAboveVentKm, columnHeightCoefficientKm, heightPowerExponent, heightMeasurementBoundsKm using the field table and calculation rules, then run the tool.
- Read inferredMassEruptionRateKgPerSecond, measurementScenarioRateBoundsKgPerSecond. 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 |
|---|---|---|---|
| observedColumnHeightAboveVentKm | Observed column height above vent km | number | Required |
| columnHeightCoefficientKm | Column height coefficient km | number | Required |
| heightPowerExponent | Height power exponent | number | Required |
| heightMeasurementBoundsKm | Height measurement bounds km | list of number | Required |
Use positive coefficient and exponent, nonnegative observed height and two nonnegative bounds enclosing it. Invert the observation and both bounds in order.1
rate = (height/coefficient)^(1/exponent) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| inferredMassEruptionRateKgPerSecond | Inferred mass eruption rate kg per second | number |
| measurementScenarioRateBoundsKgPerSecond | Measurement scenario rate bounds kg per second | list of number |
{
"input": {
"observedColumnHeightAboveVentKm": 4,
"columnHeightCoefficientKm": 2,
"heightPowerExponent": 0.25,
"heightMeasurementBoundsKm": [
3,
5
]
},
"output": {
"inferredMassEruptionRateKgPerSecond": 16,
"measurementScenarioRateBoundsKgPerSecond": [
5.0625,
39.0625
]
}
}Limitations and assumptions
Height-measurement bounds exclude calibration uncertainty; they are not probability or confidence intervals.
Numbers and computed results must be finite; overflow produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Eruption Column Height Estimation: Predict a calibrated power-law eruption column height above vent and datum elevation; coefficient units follow supplied exponent and no wind/eruption-style-independent plume law is guaranteed. For a complementary task, use Eruption Duration From DRE Volume: Infer active and elapsed eruption duration from target DRE mass and caller active-rate/duty assumptions; not a next-eruption forecast or duration inferred from column height alone.
References
-
Mass Eruption Rate From Column Height — tool.io
Similar or alternative tools
- Eruption Column Height Estimation
Predict a calibrated power-law eruption column height above vent and datum elevation; coefficient units follow supplied exponent and no wind/eruption-style-independent plume law is guaranteed.
- Eruption Duration From DRE Volume
Infer active and elapsed eruption duration from target DRE mass and caller active-rate/duty assumptions; not a next-eruption forecast or duration inferred from column height alone.