SOFAR Axis Depth Lookup

Actual sampled sound-speed minima/ties only, no geographic axis table or interpolation to a unique duct center. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

A SOFAR axis is associated with a sound-speed minimum in a water column.

A SOFAR axis is associated with a sound-speed minimum in a water column.1

This tool finds minima among sampled depths and retains every exact tie.

When to use SOFAR Axis Depth Lookup

Use this tool to calculate or review the supplied observations under the stated rules. Match the observation interval, units, datum, coordinate signs and model regime.

How to use SOFAR Axis Depth Lookup and understand its results

  1. Match the observation interval, units, datum, coordinate signs and model regime.
  2. Enter observedSoundProfileDepthM, observedSoundSpeedsMSecond, using the field meanings and rules below, then run the tool.
  3. Read sampledSofarMinimumDepthsM, minimumObservedSoundSpeedMSecond. Inspect nested result fields where present, and review unknown records separately from known matches.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
observedSoundProfileDepthMObserved sound profile depth mlist of numberRequired
observedSoundSpeedsMSecondObserved sound speeds m secondlist of numberRequired

Supply nonempty aligned nonnegative depths and positive sound speeds. Depths must strictly increase, with one sample allowed. Find the minimum speed and return all observed depths with exactly that value. It does not interpolate a duct centre.

minimum=min(c_i); depths={z_i:c_i=minimum}

Use the matching field units and the exact boundary, ordering and reference rules above.

Output fieldMeaningValue type
sampledSofarMinimumDepthsMSampled sofar minimum depths mlist of number
minimumObservedSoundSpeedMSecondMinimum observed sound speed m secondnumber
json
{
  "input": {
    "observedSoundProfileDepthM": [
      0,
      100,
      200
    ],
    "observedSoundSpeedsMSecond": [
      1500,
      1480,
      1480
    ]
  },
  "output": {
    "sampledSofarMinimumDepthsM": [
      100,
      200
    ],
    "minimumObservedSoundSpeedMSecond": 1480
  }
}

Limitations and assumptions

The stated observation or model covers only the supplied record and reference regime. It does not fill missing measurements, supply uncertainty estimates or produce a validated forecast.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries; ordinary string lists allow at most 128 strings of 128 UTF-16 units each; numeric matrices allow at most 128 rows and 128 columns, subject to narrower requirements above.

Alternative or Complementary methods

For a related step, use Brunt Vaisala Ocean Stability Calculator: The squared Brunt–Väisälä frequency describes stratification in a matched density profile. For a complementary comparison, use Potential Density Sigma Theta Calculator: Potential density evaluates a parcel at its potential temperature and a chosen reference pressure.

References

  1. SOFAR Axis Depth Lookup — tool.io

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