Overall Recovery
Propagate inventory through serial conditional recoveries and expose losses; parallel-stream recoveries must not be multiplied.
Description
Serial recovery fractions apply to the material remaining from the previous stage.
Serial recovery fractions apply to the material remaining from the previous stage. Overall recovery is their product rather than their sum or mean.
The tool returns overallRecoveryFraction (overall recovery fraction); remainingMetalKgByStage (remaining metal kg by stage); stageLossesKg (stage losses kg). Input measurements and model parameters are supplied by the caller; the tool computes the stated summary rather than acquiring those measurements.
When to use Overall Recovery
Use Overall Recovery when you already have serialStageRecoveries, initialMetalKg and want overallRecoveryFraction, remainingMetalKgByStage, stageLossesKg. This is useful for checking a supplied calculation, documenting a measurement convention, or comparing observations prepared on the same basis.
How to use Overall Recovery and understand its results
- Enter serialStageRecoveries, initialMetalKg using the field table below. Match the units, ordering and data boundaries described in the calculation.
- Run the tool after checking the stated bounds and matching paired observations or categories. A malformed request gives a tool error rather than a usable measurement.
- Read overallRecoveryFraction, remainingMetalKgByStage, stageLossesKg. Use the calculation and interpretation below to distinguish amounts, ratios, signs and decision flags where applicable.
- Review the supplied parameters and assumptions before using the result in a report or comparing it with another observation.
| Input field | Meaning | Value type and bounds | Requirement |
|---|---|---|---|
| serialStageRecoveries | Serial stage recoveries | list of number | Required |
| initialMetalKg | Initial metal kg | number | Required |
Require positive initial metal mass and a nonempty recovery list in [0,1]. Return remaining kg and loss kg after every stage.
remaining[i] = remaining[i−1]×recovery[i]; stageLoss = previous−remaining The symbols refer to the supplied quantities or generated values described above; unit conversions and comparison boundaries follow the stated implementation.
{
"input": {
"serialStageRecoveries": [
0.8,
0.9,
0.5
],
"initialMetalKg": 100
},
"output": {
"overallRecoveryFraction": 0.36,
"remainingMetalKgByStage": [
80,
72,
36
],
"stageLossesKg": [
20,
8,
36
]
}
}Limitations and assumptions
Stage fractions must share a constituent basis and serial accounting boundary. Recycles and parallel branches are not represented.
Numerical inputs must be finite. The tool checks its declared input shape and calculation constraints; those checks do not verify the quality, calibration or representativeness of the supplied observations.
Alternative or Complementary methods
Recovery Percentage: Balance metal recovery across multiple disjoint dry product streams; unlike analytical spike recovery, this checks both process mass and contained-metal feasibility. Solvent Extraction Stages: Count ideal crosscurrent stages with fresh solute-free organic at each stage and constant D/phase ratio; not countercurrent McCabe–Thiele construction.
Methodological background: Material balance in mineral processing.1
References
-
Material balance in mineral processing — NPTEL, Indian Institute of Technology Kanpur
Similar or alternative tools
- Recovery Percentage
Balance metal recovery across multiple disjoint dry product streams; unlike analytical spike recovery, this checks both process mass and contained-metal feasibility.
- Solvent Extraction Stages
Count ideal crosscurrent stages with fresh solute-free organic at each stage and constant D/phase ratio; not countercurrent McCabe–Thiele construction.