Crushing Work Index Calculator
Read independently protocol-specific CrushingImpact energy/work-index calibration rather than copying ball/rod Bond laboratory correlations. Piecewise linear measured calibration only; no extrapolation. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.
Description
Crushing-impact work-index calibrations depend on a specified test protocol.
Crushing-impact work-index calibrations depend on a specified test protocol.1
This tool interpolates a supplied energy-to-index record within its measured domain.
When to use Crushing 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 Crushing Work Index Calculator and understand its results
- Match completed survey or ledger observations by block, segment or stage and confirm their units and boundaries.
- Enter observedCrushingImpactEnergyKwhT, callerMatchedCrushingImpactWorkIndex, queryCrushingImpactEnergyKwhT, using the field meanings and rules below, then run the tool.
- Read interpolatedCrushingImpactWorkIndex, localObservedSecantSlope. Inspect nested result fields where present, and review unknown records separately from known matches.
- Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedCrushingImpactEnergyKwhT | Observed crushing impact energy kwh t | list of number | Required |
| callerMatchedCrushingImpactWorkIndex | Caller matched crushing impact work index | list of number | Required |
| queryCrushingImpactEnergyKwhT | Query crushing impact energy kwh t; use the exact reference token or coordinate domain stated below | number | Required |
Use positive energy coordinates, positive work indices and positive query energy. Interpolate the index and return the local secant slope under the curve rules below.
The curve helper requires at least two aligned samples with coordinates strictly increasing and the query inside their closed range. Interpolate linearly between neighboring samples. At an exact interior knot use that value and the right-hand segment slope; at the last knot use the final left-hand segment. Queries outside the range fail.
index(query)=linearInterpolation(energy,index,query) Use the matching field units and the exact boundary, ordering and reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| interpolatedCrushingImpactWorkIndex | Interpolated crushing impact work index | number |
| localObservedSecantSlope | Local observed secant slope | number |
{
"input": {
"observedCrushingImpactEnergyKwhT": [
1,
2,
3
],
"callerMatchedCrushingImpactWorkIndex": [
2,
4,
8
],
"queryCrushingImpactEnergyKwhT": 2.5
},
"output": {
"interpolatedCrushingImpactWorkIndex": 6,
"localObservedSecantSlope": 4
}
}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. Interpolation does not support extrapolation or replace a protocol-specific physical model.
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 Grinding Work Index Calculator: Grinding work-index calibrations depend on the measurement protocol and material. 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
-
Crushing Work Index Calculator — tool.io
Similar or alternative tools
- Grinding Work Index Calculator
Grinding work-index calibrations depend on the measurement protocol and material.
- Bond Operating Work Index Calculator
An operating Bond index can be inferred from net observed energy and matched size reduction.