Stope Volume Calculator

Integrate actual unequal-station stope cross-section survey and independent excluded cavity, not rectangular volume or one-prism log rule. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.

Description

A surveyed stope can have different cross-sections at unequal station intervals.

A surveyed stope can have different cross-sections at unequal station intervals.1

Integrating those areas gives a gross envelope before separately surveyed exclusions.

When to use Stope Volume Calculator

Use this tool to calculate or review the supplied observations under the stated rules. Match completed survey or ledger observations by block, segment or stage and confirm their units and boundaries.

How to use Stope Volume Calculator and understand its results

  1. Match completed survey or ledger observations by block, segment or stage and confirm their units and boundaries.
  2. Enter observedStopeStationsM, observedStopeCrossSectionAreasM2, observedIndependentExcludedVoidM3, using the field meanings and rules below, then run the tool.
  3. Read surveyedStopeGrossM3, surveyedStopeNetM3. Inspect nested result fields where present, and review unknown records separately from known matches.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
observedStopeStationsMObserved stope stations mlist of numberRequired
observedStopeCrossSectionAreasM2Observed stope cross section areas m2list of numberRequired
observedIndependentExcludedVoidM3Observed independent excluded void m3numberRequired

Use at least two aligned stations strictly increasing and nonnegative areas. Trapezoidally integrate areas; require excluded void≥0 and ≤gross volume. Return gross and gross−excluded volume. No rectangular approximation replaces the survey.

gross=Σ .5(A_i+A_(i+1))Δx_i; net=gross−excluded

Use the matching field units and the exact boundary, ordering and reference rules above.

Output fieldMeaningValue type
surveyedStopeGrossM3Surveyed stope gross m3number
surveyedStopeNetM3Surveyed stope net m3number
json
{
  "input": {
    "observedStopeStationsM": [
      0,
      1,
      3
    ],
    "observedStopeCrossSectionAreasM2": [
      2,
      4,
      4
    ],
    "observedIndependentExcludedVoidM3": 1
  },
  "output": {
    "surveyedStopeGrossM3": 11,
    "surveyedStopeNetM3": 10
  }
}

Limitations and assumptions

Units, ledger boundaries, survey interpretation and model applicability must be independently established. These summaries do not assign reserve/resource classifications or establish support adequacy, ventilation safety or an operating setting.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries; ordinary string lists allow at most 128 strings of 128 UTF-16 units each; numeric matrices allow at most 128 rows and 128 columns, subject to narrower requirements above.

Alternative or Complementary methods

For a related step, use Stope Tonnage Calculator: Wet extraction weights require matched dry fractions before comparing dry-material ledgers. For a complementary comparison, use Ramp Volume Calculator: Surveyed ramp segments can be recorded as separate prismatic sections with exclusions.

References

  1. Stope Volume Calculator — tool.io

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