Estuarine Circulation Ratio UE Calculator

Hansen–Rattray style surface/residual velocity ratio over actual weighted sections, signed velocity retained; no inferred two-layer salt balance. 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

An estuarine circulation ratio compares surface flow with residual flow over a matched section.

An estuarine circulation ratio compares surface flow with residual flow over a matched section.1

Signed surface velocity allows the ratio to represent opposing directions.

When to use Estuarine Circulation Ratio UE Calculator

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 Estuarine Circulation Ratio UE Calculator and understand its results

  1. Match the observation interval, units, datum, coordinate signs and model regime.
  2. Enter callerSectionAreasM2, observedUpperLayerSeawardVelocityMSecond, callerMatchedFreshwaterResidualVelocityMSecond, using the field meanings and rules below, then run the tool.
  3. Read areaWeightedEstuarineCirculationRatioUe. 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
callerSectionAreasM2Caller section areas m2list of numberRequired
observedUpperLayerSeawardVelocityMSecondObserved upper layer seaward velocity m secondlist of numberRequired
callerMatchedFreshwaterResidualVelocityMSecondCaller matched freshwater residual velocity m secondlist of numberRequired

Use aligned cell areas>0, residual speeds>0 and finite signed surface speeds. Divide the area-weighted surface sum by the area-weighted residual sum. No salt-balance closure is inferred.

Ue=Σ(A_i surface_i)/Σ(A_i residual_i)

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

Output fieldMeaningValue type
areaWeightedEstuarineCirculationRatioUeArea weighted estuarine circulation ratio uenumber
json
{
  "input": {
    "callerSectionAreasM2": [
      1,
      2
    ],
    "observedUpperLayerSeawardVelocityMSecond": [
      2,
      1
    ],
    "callerMatchedFreshwaterResidualVelocityMSecond": [
      0.5,
      0.5
    ]
  },
  "output": {
    "areaWeightedEstuarineCirculationRatioUe": 2.6666666666666665
  }
}

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 Hansen Rattray Mixing Classifier: Hansen–Rattray coordinates describe estuarine circulation and stratification within a particular reference chart. For a complementary comparison, use Van Den Burgh K Intrusion Parameter Calculator: The Van den Burgh relation links an axial dispersion gradient to residual flow under a stated coordinate convention.

References

  1. Estuarine Circulation Ratio UE Calculator — tool.io

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