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Atmospheric Science: Pressure Thickness Log Layer Mean Tool

Compute the logarithmic pressure mean of a positive nonzero layer thickness; this is not an arithmetic midpoint, altitude or hypsometric temperature estimate.

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Description

Return logarithmic mean pressure across a layer.

Atmospheric state formulas depend on absolute temperature, pressure reference, water mass/volume bases and layer assumptions. Local adiabatic, hydrostatic or precipitation terms can illustrate a supplied model without reconstructing an actual profile, validating an instrument or predicting weather hazards.

Return logarithmic mean pressure across a layer.

When to use this tool

Use Atmospheric Science: Pressure Thickness Log Layer Mean when checking the stated atmospheric pressure, temperature, humidity or water-basis term.

How to use the tool and how it works

  1. Enter lowerPressure, upperPressure. 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 result. Expand result to inspect the returned fields.

Return logarithmic mean pressure across a layer. Require lowerPressure > upperPressure > 0; logMeanPressure = (lower-upper)/(ln(lower)-ln(upper)).1

Input fieldMeaning and unitsAccepted input
lowerPressureLower PressureRequired. Finite number.
upperPressureUpper PressureRequired. Finite number.
Output fieldInterpretationReturned shape
resultReturned calculated value or nested object under the stated output convention.Required. Object.
result.logMeanPressureLogarithmic mean, distinct from geometric midpoint sqrt(lower*upper).Calculated result member: number.
json
{
  "input": {
    "lowerPressure": 100,
    "upperPressure": 50
  },
  "output": {
    "result": {
      "logMeanPressure": 72.13475204444818
    }
  }
}

Limitations and assumptions

  • This differs from geometric midpoint pressure and is not an arithmetic layer average; pressures must share units and actual observations are not verified.
  • Outputs are nested inside result. 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 verified observations and an appropriate complete thermodynamic/profile analysis with explicit units, references and moisture assumptions for meteorological conclusions.

References

  1. Calculation and input contract: atmospheric-science/pressure-thickness-log-layer-mean — tool.io

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