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.
Description
A calibrated column-height power law describes height above the vent.
A calibrated column-height power law describes height above the vent. Adding vent elevation gives column-top elevation on the chosen datum.
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.
When to use Eruption Column Height Estimation
Use this tool to 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.
Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
How to use Eruption Column Height Estimation and understand its results
- Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
- Enter massEruptionRateKgPerSecond, columnHeightCoefficientKm, heightPowerExponent, ventElevationKm using the field table and calculation rules, then run the tool.
- Read modelColumnHeightAboveVentKm, modelColumnTopElevationKm. 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 |
|---|---|---|---|
| massEruptionRateKgPerSecond | Mass eruption rate kg per second | number | Required |
| columnHeightCoefficientKm | Column height coefficient km | number | Required |
| heightPowerExponent | Height power exponent | number | Required |
| ventElevationKm | Vent elevation km | number | Required |
Use positive coefficient and exponent and nonnegative mass rate. Evaluate height in kilometers, then add vent elevation in kilometers.1
height above vent = coefficient × mass rate^exponent Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| modelColumnHeightAboveVentKm | Model column height above vent km | number |
| modelColumnTopElevationKm | Model column top elevation km | number |
{
"input": {
"massEruptionRateKgPerSecond": 16,
"columnHeightCoefficientKm": 2,
"heightPowerExponent": 0.25,
"ventElevationKm": 1
},
"output": {
"modelColumnHeightAboveVentKm": 4,
"modelColumnTopElevationKm": 5
}
}Limitations and assumptions
Coefficient units follow the supplied exponent; wind and eruption style must match calibration.
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.
Alternative or Complementary methods
Use 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. For a complementary task, use Plume Mass Flux Buoyancy Estimate: Estimate signed heat-derived plume buoyancy flux using supplied source/ambient heat properties; neglects particle loading, moisture and momentum, retaining negatively buoyant thermal scenarios.
References
-
Eruption Column Height Estimation — tool.io
Similar or alternative tools
- 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.
- Plume Mass Flux Buoyancy Estimate
Estimate signed heat-derived plume buoyancy flux using supplied source/ambient heat properties; neglects particle loading, moisture and momentum, retaining negatively buoyant thermal scenarios.