Thermosteric Anomaly Component

Integrate signed small-anomaly thermal expansion over caller layers; holds salinity/mass fixed and differs from exact density-ratio steric stretching.

Description

Thermosteric height is the thermal-expansion component of sea-level change.

Thermosteric height is the thermal-expansion component of sea-level change. Small temperature anomalies can be integrated over layers.

Integrate signed small-anomaly thermal expansion over caller layers; holds salinity/mass fixed and differs from exact density-ratio steric stretching.

When to use Thermosteric Anomaly Component

Use this tool to integrate signed small-anomaly thermal expansion over caller layers; holds salinity/mass fixed and differs from exact density-ratio steric stretching.

Gather the water, wave, current or profile observations and any supplied calibration constants. Confirm units and the stated coordinate and pressure conventions.

How to use Thermosteric Anomaly Component and understand its results

  1. Gather the water, wave, current or profile observations and any supplied calibration constants. Confirm units and the stated coordinate and pressure conventions.
  2. Enter layerBoundariesM, temperatureAnomaliesK, expansionCoefficientsPerK using the field table and calculation rules, then run the tool.
  3. Read layerThermostericContributionsM, thermostericAnomalyM. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
layerBoundariesMLayer boundaries mlist of numberRequired
temperatureAnomaliesKTemperature anomalies klist of numberRequired
expansionCoefficientsPerKExpansion coefficients per klist of numberRequired

Use positive expansion coefficients and increasing nonnegative boundaries with one aligned anomaly and coefficient per layer. Return signed layer contributions and their sum.1

Paired lists must be nonempty and have equal lengths.

layer contribution = temperature anomaly × expansion coefficient × thickness

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
layerThermostericContributionsMLayer thermosteric contributions mlist of number
thermostericAnomalyMThermosteric anomaly mnumber
json
{
  "input": {
    "layerBoundariesM": [
      0,
      10,
      30
    ],
    "temperatureAnomaliesK": [
      1,
      -2
    ],
    "expansionCoefficientsPerK": [
      0.001,
      0.002
    ]
  },
  "output": {
    "layerThermostericContributionsM": [
      0.01,
      -0.08
    ],
    "thermostericAnomalyM": -0.07
  }
}

Limitations and assumptions

Salinity and mass stay fixed; this is a first-order thermal approximation.

Numbers and computed results must be finite; overflow produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Steric Sea Level Expansion Contribution: Compute exact mass-conserving layer stretching from paired density states; includes combined density effects, unlike first-order thermal-only anomaly, and excludes mass loading. For a complementary task, use Thermal Expansion Alpha Seawater: Estimate signed thermal expansion from measured density-temperature brackets at fixed salinity/pressure; not a reference-property lookup or a universal seawater coefficient.

References

  1. Thermosteric Anomaly Component — tool.io

Similar or alternative tools

  • Steric Sea Level Expansion Contribution

    Compute exact mass-conserving layer stretching from paired density states; includes combined density effects, unlike first-order thermal-only anomaly, and excludes mass loading.

  • Thermal Expansion Alpha Seawater

    Estimate signed thermal expansion from measured density-temperature brackets at fixed salinity/pressure; not a reference-property lookup or a universal seawater coefficient.

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