Reduction Ratio Calculator

Audit actual OverallComminution matched D80 reduction against independent nominal trial ratios, not Bond net energy or two streams assumed additive. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.

Description

A size-reduction ratio compares matched feed and product D80 measurements for overall comminution.

A size-reduction ratio compares matched feed and product D80 measurements for overall comminution.1

A nominal trial ratio provides a separate signed comparison.

When to use Reduction Ratio 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 Reduction Ratio 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 observedOverallComminutionFeedD80Mm, observedOverallComminutionProductD80Mm, callerMatchedOverallComminutionNominalRatios, using the field meanings and rules below, then run the tool.
  3. Read observedSizeReductionRatios, signedRatioMinusNominal. 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
observedOverallComminutionFeedD80MmObserved overall comminution feed d80 mmlist of numberRequired
observedOverallComminutionProductD80MmObserved overall comminution product d80 mmlist of numberRequired
callerMatchedOverallComminutionNominalRatiosCaller matched overall comminution nominal ratioslist of numberRequired

Use aligned positive feed sizes, product sizes and nominal ratios. Divide feed by product and subtract nominal ratio. Product larger than feed is allowed and gives a ratio below one; this is not an energy calculation.

ratio_i=feedD80_i/productD80_i; difference_i=ratio_i−nominal_i

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

Output fieldMeaningValue type
observedSizeReductionRatiosObserved size reduction ratioslist of number
signedRatioMinusNominalSigned ratio minus nominal; preserve the subtraction order and sign defined in the mechanicslist of number
json
{
  "input": {
    "observedOverallComminutionFeedD80Mm": [
      100,
      200
    ],
    "observedOverallComminutionProductD80Mm": [
      20,
      100
    ],
    "callerMatchedOverallComminutionNominalRatios": [
      4,
      3
    ]
  },
  "output": {
    "observedSizeReductionRatios": [
      5,
      2
    ],
    "signedRatioMinusNominal": [
      1,
      -1
    ]
  }
}

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 Crushing Ratio Calculator: A size-reduction ratio compares matched feed and product D80 measurements for jaw crushing. For a complementary comparison, use Bond Operating Work Index Calculator: An operating Bond index can be inferred from net observed energy and matched size reduction.

References

  1. Reduction Ratio Calculator — tool.io

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