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Sediment Clast Axis Shape Ratio Tool

Axis ratios and maximum-projection sphericity proxy [c^2/(ab)]^(1/3), with a>=b>=c.

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Description

Return short/intermediate, intermediate/long, and cube root of short²/(long × intermediate).

Sediment and soil calculations distinguish mass basis, solid density, bulk volume, and grain-size conventions. Changing moisture or grain-size scale changes the denominator or coordinate, not the physical sample itself.

Return short/intermediate, intermediate/long, and cube root of short²/(long × intermediate).

When to use this tool

Use Sediment Clast Axis Shape Ratio when you need an explicit sediment or material-basis conversion.

How to use the tool and how it works

  1. Enter longAxis, intermediateAxis, shortAxis. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read flatnessRatio, elongationRatio, sphericityProxy. Use the output convention below.

Require positive shortAxis and ordered intermediateAxis and longAxis. Return short/intermediate, intermediate/long, and cube root of short²/(long × intermediate).1

Input fieldMeaning and unitsAccepted input
longAxisLong AxisRequired. Finite number.
intermediateAxisIntermediate AxisRequired. Finite number.
shortAxisShort AxisRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
flatnessRatioFlatness RatioRequired. Finite number.
elongationRatioElongation RatioRequired. Finite number.
sphericityProxySphericity ProxyRequired. Finite number.
json
{
  "input": {
    "longAxis": 8,
    "intermediateAxis": 4,
    "shortAxis": 2
  },
  "output": {
    "flatnessRatio": 0.5,
    "elongationRatio": 0.5,
    "sphericityProxy": 0.5
  }
}

Limitations and assumptions

  • All are full clast axes in one unit; these named shape ratios and proxy do not identify lithology, transport history, true surface-based sphericity, or measurement uncertainty.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use a traceable laboratory and sampling method for the required material property. Align wet/dry basis, solid versus bulk density, grain-size scale, and interval definitions before comparing samples.

References

  1. Calculation and input contract: geomorphology/sediment-clast-axis-shape-ratio — tool.io

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