Geology Provenance Index Calculator

ZTR maturity inventory among identified transparent heavy minerals, excluding opaque fractions; not proof of provenance. Caller independently establishes matching units, evidence, method edition and applicability; output is not compliance, diagnosis, work-safety approval, geological identity or validated hazard prediction.

Description

The zircon–tourmaline–rutile index summarizes those three mineral counts relative to a defined heavy-mineral assemblage.

The zircon–tourmaline–rutile index summarizes those three mineral counts relative to a defined heavy-mineral assemblage.1

Grain selection, denominator composition and counting protocol determine what the resulting percentage represents. Use this tool to calculate provenance index from the supplied measurements and assumptions.

When to use Geology Provenance Index Calculator

Use this tool to calculate provenance index from the supplied measurements and assumptions. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.

How to use Geology Provenance Index Calculator and understand its results

  1. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
  2. Enter zirconTourmalineRutileCounts, otherTransparentMineralCounts, using the field meanings and rules below, then run the tool.
  3. Read observedZtrPercent. Interpret the fields using their units, signs and evidence conventions below.
  4. If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
Input fieldMeaningValue typeRequirement
zirconTourmalineRutileCountsZircon tourmaline rutile countslist of numberRequired
otherTransparentMineralCountsOther transparent mineral countslist of numberRequired

Supply exactly three nonnegative integer counts in zircon, tourmaline, rutile order, plus nonnegative integer counts for other included transparent minerals. Counts are bounded to 1,000,000,000 each and the combined total must be positive. Divide the ZTR subtotal by the combined total and multiply by 100.

ZTRpercent=100×Σ(Z,T,R)/[Σ(Z,T,R)+Σother]

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
observedZtrPercentObserved Ztr Percent; follow the units, sign, ordering and evidence convention stated abovenumber
json
{
  "input": {
    "zirconTourmalineRutileCounts": [
      10,
      20,
      30
    ],
    "otherTransparentMineralCounts": [
      40,
      50
    ]
  },
  "output": {
    "observedZtrPercent": 40
  }
}

Limitations and assumptions

Grain selection, denominator composition and counting protocol determine what the resulting percentage represents. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use Geology TAS Classification Lookup for this related task: A total-alkali–silica classification uses composition coordinates and an adopted set of class boundaries.

Use Geology QAPF Classification Lookup when its separate inputs and assumptions fit the question: QAPF classification uses independently determined mineral proportions and a specified classification diagram.

References

  1. Geology Provenance Index Calculator — tool.io

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