Geology Skewness Folk Ward Calculator

Folk–Ward normalized central and tail PHI asymmetry, not moment skew. 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

Graphic skewness describes asymmetry around the median of a grain-size distribution.

Graphic skewness describes asymmetry around the median of a grain-size distribution.1

The Folk–Ward expression uses both central and tail percentile relationships and requires nonzero denominator spreads. Use this tool to calculate skewness folk ward from the supplied measurements and assumptions.

When to use Geology Skewness Folk Ward Calculator

Use this tool to calculate skewness folk ward 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 Skewness Folk Ward Calculator and understand its results

  1. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
  2. Enter phi5, phi16, phi50, phi84, phi95, using the field meanings and rules below, then run the tool.
  3. Read graphicSkewness. 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
phi5Phi5numberRequired
phi16Phi16numberRequired
phi50Phi50numberRequired
phi84Phi84numberRequired
phi95Phi95numberRequired

Supply finite nondecreasing phi5, phi16, phi50, phi84 and phi95. Require phi84>phi16 and phi95>phi5 so both normalized terms are defined. Add the median-centered central and tail asymmetry terms; no skewness category is installed.

skewness=(phi16+phi84−2phi50)/[2(phi84−phi16)]+(phi5+phi95−2phi50)/[2(phi95−phi5)]

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

Output fieldMeaningValue type
graphicSkewnessGraphic Skewness; follow the units, sign, ordering and evidence convention stated abovenumber
json
{
  "input": {
    "phi5": -2,
    "phi16": -1,
    "phi50": 0,
    "phi84": 2,
    "phi95": 4
  },
  "output": {
    "graphicSkewness": 0.3333333333333333
  }
}

Limitations and assumptions

The Folk–Ward expression uses both central and tail percentile relationships and requires nonzero denominator spreads. 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 Wentworth Phi To Mm Calculator for this related task: The phi grain-size scale is logarithmic, with increasing phi corresponding to decreasing diameter.

Use Geology Wentworth Grain Size Phi Calculator when its separate inputs and assumptions fit the question: A phi value is the negative base-two logarithm of grain diameter measured in millimeters.

References

  1. Geology Skewness Folk Ward Calculator — tool.io

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