Lahar Inundation Distance Volume Scaling

Evaluate caller empirical lahar area-volume bounds and a rectangular mean-width length proxy; no terrain routing, geodesy, inundation map or validated warning distance.

Description

Empirical lahar scaling relates volume to plan area.

Empirical lahar scaling relates volume to plan area. Dividing that area by an assumed mean width gives a rectangular length proxy.

Evaluate caller empirical lahar area-volume bounds and a rectangular mean-width length proxy; no terrain routing, geodesy, inundation map or validated warning distance.

When to use Lahar Inundation Distance Volume Scaling

Use this tool to evaluate caller empirical lahar area-volume bounds and a rectangular mean-width length proxy; no terrain routing, geodesy, inundation map or validated warning distance.

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

How to use Lahar Inundation Distance Volume Scaling and understand its results

  1. Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
  2. Enter laharVolumeM3, planformAreaCoefficientBounds, areaVolumeExponent, assumedMeanInundationWidthM using the field table and calculation rules, then run the tool.
  3. Read planformAreaScenarioBoundsM2, rectangularLengthScenarioBoundsM. 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
laharVolumeM3Lahar volume m3numberRequired
planformAreaCoefficientBoundsPlanform area coefficient boundslist of numberRequired
areaVolumeExponentArea volume exponentnumberRequired
assumedMeanInundationWidthMAssumed mean inundation width mnumberRequired

Supply two ordered positive coefficients, positive exponent and width, and nonnegative volume. Evaluate both bounds and keep their order.1

area bounds = coefficient bounds × volume^exponent; length bounds = area bounds/width

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

Output fieldMeaningValue type
planformAreaScenarioBoundsM2Planform area scenario bounds m2list of number
rectangularLengthScenarioBoundsMRectangular length scenario bounds mlist of number
json
{
  "input": {
    "laharVolumeM3": 1000,
    "planformAreaCoefficientBounds": [
      1,
      2
    ],
    "areaVolumeExponent": 0.6666666666666666,
    "assumedMeanInundationWidthM": 10
  },
  "output": {
    "planformAreaScenarioBoundsM2": [
      99.99999999999997,
      199.99999999999994
    ],
    "rectangularLengthScenarioBoundsM": [
      9.999999999999996,
      19.999999999999993
    ]
  }
}

Limitations and assumptions

Coefficients depend on units and local calibration; no terrain routing or warning distance is inferred.

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 Lahar Volume Crater Lake Breach: Balance released crater-lake water, initial water loss and dry sediment grains into initial lahar volume; pores are not double counted and downstream entrainment/inundation are not predicted. For a complementary task, use Dome Collapse Block Ash Runout: Translate supplied collapse relief and calibrated Heim-ratio bounds into horizontal-runout scenarios, not probability bounds, a dynamics model or exclusion-zone guidance.

References

  1. Lahar Inundation Distance Volume Scaling — tool.io

Similar or alternative tools

  • Lahar Volume Crater Lake Breach

    Balance released crater-lake water, initial water loss and dry sediment grains into initial lahar volume; pores are not double counted and downstream entrainment/inundation are not predicted.

  • Dome Collapse Block Ash Runout

    Translate supplied collapse relief and calibrated Heim-ratio bounds into horizontal-runout scenarios, not probability bounds, a dynamics model or exclusion-zone guidance.

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