Longwall Dilution Calculator

Separate actual roof/floor longwall dilution source inventory, not generic assay blending, recovered-coal face advance or equal-density volume assumption. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.

Description

Longwall dilution can separate roof and floor waste from undiluted coal.

Longwall dilution can separate roof and floor waste from undiluted coal.1

Fractions use the combined material total on the supplied mass basis.

When to use Longwall Dilution 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 Longwall Dilution 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 observedLongwallRoofWasteTonnes, observedLongwallFloorWasteTonnes, observedUndilutedCoalTonnes, using the field meanings and rules below, then run the tool.
  3. Read observedLongwallRoofDilutionFraction, observedLongwallFloorDilutionFraction, totalObservedLongwallDilutionFraction. 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
observedLongwallRoofWasteTonnesObserved longwall roof waste tonneslist of numberRequired
observedLongwallFloorWasteTonnesObserved longwall floor waste tonneslist of numberRequired
observedUndilutedCoalTonnesObserved undiluted coal tonneslist of numberRequired

Use aligned nonnegative roof waste, floor waste and coal tonnes. Require their total>0. Return roof/total, floor/total and (roof+floor)/total as fractions.

total=Σroof+Σfloor+Σcoal; dilution=(Σroof+Σfloor)/total

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

Output fieldMeaningValue type
observedLongwallRoofDilutionFractionObserved longwall roof dilution fraction; dimensionless fraction, not a percentnumber
observedLongwallFloorDilutionFractionObserved longwall floor dilution fraction; dimensionless fraction, not a percentnumber
totalObservedLongwallDilutionFractionTotal observed longwall dilution fraction; dimensionless fraction, not a percentnumber
json
{
  "input": {
    "observedLongwallRoofWasteTonnes": [
      2,
      3
    ],
    "observedLongwallFloorWasteTonnes": [
      1,
      2
    ],
    "observedUndilutedCoalTonnes": [
      10,
      20
    ]
  },
  "output": {
    "observedLongwallRoofDilutionFraction": 0.13157894736842105,
    "observedLongwallFloorDilutionFraction": 0.07894736842105263,
    "totalObservedLongwallDilutionFraction": 0.21052631578947367
  }
}

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 Mining Dilution Percentage Calculator: Mining dilution on a dry-mass basis separates recovered ore and diluent after moisture corrections. For a complementary comparison, use Dilution Volume Calculator: Excess extraction volume compares an as-mined cross-section with an independently established ore envelope.

References

  1. Longwall Dilution Calculator — tool.io

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