Geology Paleoslope Calculator

Paleoslope angle from independently reconstructed drop and horizontal run. Actual reconstruction, compaction/tectonic correction and transport model external; not infer ancient slope from grain size alone.

Description

A reconstructed paleoslope relates signed vertical drop to horizontal run.

A reconstructed paleoslope relates signed vertical drop to horizontal run.1

The angle depends on the reconstructed geometry rather than independently dating a landscape. Use this tool to calculate the stated observation or conditional model from supplied measurements.

When to use Geology Paleoslope Calculator

Use this tool to calculate the stated observation or conditional model from supplied measurements. Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.

How to use Geology Paleoslope Calculator and understand its results

  1. Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.
  2. Enter independentlyReconstructedVerticalDropMeters, matchedHorizontalRunMeters, using the field meanings and rules below, then run the tool.
  3. Read result.conditionalPaleoslopeDegrees. Interpret each field using the units, signs and evidence rules below.
  4. If input validation fails, correct the reported field and run again. Before applying a successful result, check the stated reference scope, units, assumptions and any retained unknown evidence.
Input fieldMeaningValue typeRequirement
independentlyReconstructedVerticalDropMetersIndependently reconstructed vertical drop metersnumberRequired
matchedHorizontalRunMetersMatched horizontal run metersnumberRequired

Require positive horizontal run in meters and finite signed vertical drop. Return atan2(drop,run) converted to degrees, retaining a negative slope where supplied.

paleoslopeDegrees=(180/pi)×atan2(verticalDropMeters,horizontalRunMeters)

Apply the field units and exact ordering, boundary and evidence rules above.

Output fieldMeaningValue type
resultStructured result containing the calculation or selected reference fields belowobject
result.conditionalPaleoslopeDegreesConditional Paleoslope Degrees; use the units, sign convention and calculation stated abovenumber
json
{
  "input": {
    "independentlyReconstructedVerticalDropMeters": 2,
    "matchedHorizontalRunMeters": 4
  },
  "output": {
    "result": {
      "conditionalPaleoslopeDegrees": 26.56505117707799
    }
  }
}

Limitations and assumptions

The angle depends on the reconstructed geometry rather than independently dating a landscape. Results depend on the independently established measurement basis and the exact model assumptions above.

Every listed input requires an explicit value. Unexpected fields, incorrect value types, nonfinite numbers and sparse numeric arrays fail validation; tool-specific bounds and alignment rules apply as described above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful calculation that reports a false comparison or retains unknown evidence.

Alternative or Complementary methods

Use Geology Subduction Slab Dip Calculator to examine a related aspect: Slab dip relates a reconstructed depth difference to horizontal projection.

Use Geology Critical Taper Wedge Angle Calculator where its separate inputs and scope apply: Wedge taper describes the combined surface-slope and basal-dip geometry.

References

  1. Geology Paleoslope Calculator — tool.io

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