Bond Operating Work Index Calculator

Audit gross and independently measured idle mill energy before operating Bond work-index inversion, not existing net-energy direct inverse. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.

Description

An operating Bond index can be inferred from net observed energy and matched size reduction.

An operating Bond index can be inferred from net observed energy and matched size reduction.1

Subtracting independently observed idle energy changes the index relative to gross energy.

When to use Bond Operating Work Index 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 Bond Operating Work Index 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 observedGrossMillKwhTonnes, observedIndependentIdleKwhTonnes, observedFeedP80Microns, observedProductP80Microns, using the field meanings and rules below, then run the tool.
  3. Read observedIdleCorrectedOperatingBondIndices. 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
observedGrossMillKwhTonnesObserved gross mill kwh tonneslist of numberRequired
observedIndependentIdleKwhTonnesObserved independent idle kwh tonneslist of numberRequired
observedFeedP80MicronsObserved feed p80 micronslist of numberRequired
observedProductP80MicronsObserved product p80 micronslist of numberRequired

Use aligned gross and idle specific energies≥0 and positive feed/product sizes in micrometres. Require gross−idle≥0 and 10/sqrt(product)−10/sqrt(feed)>0, thus product<feed. Divide net energy by this size term per row. Zero net energy returns zero.

Wi_i=(gross_i−idle_i)/(10/√product_i−10/√feed_i)

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

Output fieldMeaningValue type
observedIdleCorrectedOperatingBondIndicesObserved idle corrected operating bond indices; zero-based positions in the relevant supplied record or adjacent-pair listlist of number
json
{
  "input": {
    "observedGrossMillKwhTonnes": [
      20,
      30
    ],
    "observedIndependentIdleKwhTonnes": [
      5,
      10
    ],
    "observedFeedP80Microns": [
      1000,
      1000
    ],
    "observedProductP80Microns": [
      100,
      100
    ]
  },
  "output": {
    "observedIdleCorrectedOperatingBondIndices": [
      21.93712943361397,
      29.24950591148529
    ]
  }
}

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 Comminution Specific Energy Calculator: Comminution specific energy relates measured energy to matched dry throughput. For a complementary comparison, use Bond Rod Mill Work Index Calculator: The rod-mill Bond test uses a protocol-specific correlation involving screen size and grams per revolution.

References

  1. Bond Operating Work Index Calculator — tool.io

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