Geology Cosmogenic Erosion Rate Calculator

Steady single-production exponential erosion inversion, independently steady state/full shielding history assumed; negative erosion branch refused, not exposure age. 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

A steady-state cosmogenic erosion model balances production, radioactive decay and removal.

A steady-state cosmogenic erosion model balances production, radioactive decay and removal.1

The inferred rate depends on concentration, attenuation mass length and bulk density under the adopted steady-state assumptions. Use this tool to calculate cosmogenic erosion rate from the supplied measurements and assumptions.

When to use Geology Cosmogenic Erosion Rate Calculator

Use this tool to calculate cosmogenic erosion rate 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 Cosmogenic Erosion Rate Calculator and understand its results

  1. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
  2. Enter measuredSteadyInventoryAtomsG, surfaceProductionAtomsGYear, decayPerYear, attenuationGCM2, rockDensityGCM3, using the field meanings and rules below, then run the tool.
  3. Read steadyErosionCMYear. 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
measuredSteadyInventoryAtomsGMeasured steady inventory atoms gnumberRequired
surfaceProductionAtomsGYearSurface production atoms g yearnumberRequired
decayPerYearDecay per yearnumberRequired
attenuationGCM2Attenuation g c m2numberRequired
rockDensityGCM3Rock density g c m3numberRequired

Require positive measured inventory, production, attenuation mass length and density, plus nonnegative decay per year. Calculate production/inventory minus decay and require that loss term to be nonnegative. Multiply by attenuation/density to return cm/year; zero loss gives zero erosion. No transient exposure history is fitted.

erosionCmPerYear=(attenuationGPerCm²/densityGPerCm³)×(production/inventory−decayPerYear)

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

Output fieldMeaningValue type
steadyErosionCMYearSteady Erosion CM Year; follow the units, sign, ordering and evidence convention stated abovenumber
json
{
  "input": {
    "measuredSteadyInventoryAtomsG": 10,
    "surfaceProductionAtomsGYear": 20,
    "decayPerYear": 1,
    "attenuationGCM2": 2,
    "rockDensityGCM3": 2
  },
  "output": {
    "steadyErosionCMYear": 1
  }
}

Limitations and assumptions

The inferred rate depends on concentration, attenuation mass length and bulk density under the adopted steady-state assumptions. 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 Cosmogenic Nuclide Production Rate Calculator for this related task: Cosmogenic production beneath an overburden is attenuated in an adopted exponential depth model.

Use Geology Aluminum 26 Beryllium 10 Burial Age Calculator when its separate inputs and assumptions fit the question: A paired aluminum-26/beryllium-10 burial model uses their different decay rates to interpret a ratio decrease.

References

  1. Geology Cosmogenic Erosion Rate Calculator — tool.io

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