Glacier Lake Outburst Volume Calculator

Reconcile initial/final water-column lake storage using supplied area-depth contours, not peak-discharge envelope or duplicate entire-basin integration; assumes fixed basin, no outburst hydrograph/dam stability prediction.

Description

Fixed-basin water storage can be integrated from area-depth contours.

Fixed-basin water storage can be integrated from area-depth contours. The difference between two levels is a signed released-volume estimate.1

Enter aligned nonnegative contours/areas with depth 0 start, at least two strictly increasing depths and nonincreasing areas. Water-column heights must be 0–basin depth. Interpolate shoreline level and integrate piecewise-linear area by trapezoids; return both storages and difference.

When to use Glacier Lake Outburst Volume Calculator

Use Glacier Lake Outburst Volume Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No peak discharge, hydrograph, dam stability or changing basin is modeled.

Prepare the observed ice, snow, water or geometry measurements and explicit calibration parameters requested. Keep coordinates, datum, density and time units consistent.

How to use Glacier Lake Outburst Volume Calculator and understand its results

  1. Prepare the observed ice, snow, water or geometry measurements and explicit calibration parameters requested. Keep coordinates, datum, density and time units consistent.
  2. Enter depthContoursM, contourAreasM2, initialWaterDepthM, finalWaterDepthM using the field table and calculation rules, then run the tool.
  3. Read initialLakeStorageM3, finalLakeStorageM3, signedOutburstReleasedVolumeM3. 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
depthContoursMDepth contours mlist of numberRequired
contourAreasM2Contour areas m2list of numberRequired
initialWaterDepthMInitial water depth mnumberRequired
finalWaterDepthMFinal water depth mnumberRequired

Enter aligned nonnegative contours/areas with depth 0 start, at least two strictly increasing depths and nonincreasing areas. Water-column heights must be 0–basin depth. Interpolate shoreline level and integrate piecewise-linear area by trapezoids; return both storages and difference.

storage(h)=integral(area(depth),bottom−h…bottom); release=initial−final

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

Output fieldMeaningValue type
initialLakeStorageM3Initial lake storage m3number
finalLakeStorageM3Final lake storage m3number
signedOutburstReleasedVolumeM3Signed outburst released volume m3number
json
{
  "input": {
    "depthContoursM": [
      0,
      10,
      20
    ],
    "contourAreasM2": [
      100,
      50,
      0
    ],
    "initialWaterDepthM": 15,
    "finalWaterDepthM": 5
  },
  "output": {
    "initialLakeStorageM3": 562.5,
    "finalLakeStorageM3": 62.5,
    "signedOutburstReleasedVolumeM3": 500
  }
}

Limitations and assumptions

No peak discharge, hydrograph, dam stability or changing basin is modeled.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Ablation River Discharge Contribution Calculator: A meltwater budget can compare modeled delivered flow with measured river discharge. Ratios above one reveal inconsistency rather than confirmed attribution. For a complementary task, use Calving Front Cliff Height Above Water Calculator: Calving-cliff height can be measured relative to both water level and toe. A submerged top remains a signed observation.

References

  1. Glacier Lake Outburst Volume Calculator — tool.io

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