Reaeration Coefficient Oxygen Transfer Calculator

Integrate constant first-order reaeration toward caller saturation reference with exact exponential and signed supersaturated degassing; no respiration, variable volume, field transfer-efficiency or gas-supply sizing.

Description

Constant first-order reaeration approaches a specified saturation concentration exponentially.

Constant first-order reaeration approaches a specified saturation concentration exponentially. Supersaturated water can yield signed oxygen loss.1

Enter nonnegative saturation/initial oxygen, rate per day, time and volume. Use expm1 for stable small-exponent evaluation; return final concentration and signed transferred kg.

When to use Reaeration Coefficient Oxygen Transfer Calculator

Use Reaeration Coefficient Oxygen Transfer Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. Zero rate/time/volume is allowed. Respiration, varying conditions and field transfer efficiency are excluded.

Prepare the observed lake or sample measurements and explicit calibration, reference values or thresholds requested. Keep depth coverage, units, dates and sampling conditions consistent.

How to use Reaeration Coefficient Oxygen Transfer Calculator and understand its results

  1. Prepare the observed lake or sample measurements and explicit calibration, reference values or thresholds requested. Keep depth coverage, units, dates and sampling conditions consistent.
  2. Enter oxygenSaturationMgLiter, initialOxygenMgLiter, reaerationCoefficientPerDay, elapsedDays, waterVolumeM3 using the field table and calculation rules, then run the tool.
  3. Read modeledFinalOxygenMgLiter, signedTransferredOxygenKg. 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
oxygenSaturationMgLiterOxygen saturation mg liternumberRequired
initialOxygenMgLiterInitial oxygen mg liternumberRequired
reaerationCoefficientPerDayReaeration coefficient per daynumberRequired
elapsedDaysElapsed daysnumberRequired
waterVolumeM3Water volume m3numberRequired

Enter nonnegative saturation/initial oxygen, rate per day, time and volume. Use expm1 for stable small-exponent evaluation; return final concentration and signed transferred kg.

final=initial+(saturation−initial)(1−exp(−k×days)); kg=concentrationChange×m³/1000

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

Output fieldMeaningValue type
modeledFinalOxygenMgLiterModeled final oxygen mg liternumber
signedTransferredOxygenKgSigned transferred oxygen kgnumber
json
{
  "input": {
    "oxygenSaturationMgLiter": 10,
    "initialOxygenMgLiter": 2,
    "reaerationCoefficientPerDay": 0.5,
    "elapsedDays": 2,
    "waterVolumeM3": 1000
  },
  "output": {
    "modeledFinalOxygenMgLiter": 7.056964470628461,
    "signedTransferredOxygenKg": 5.056964470628461
  }
}

Limitations and assumptions

Zero rate/time/volume is allowed. Respiration, varying conditions and field transfer efficiency are excluded.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Hypolimnetic Oxygen Demand Rate Calculator: Oxygen demand can be inferred from inventory change after subtracting independently measured advection. A negative result indicates net nonadvective replenishment. For a complementary task, use Dissolved Oxygen Saturation Altitude Temp Calculator: Freshwater oxygen saturation depends on temperature and air pressure. Station pressure already incorporates the caller’s altitude conditions.

References

  1. Reaeration Coefficient Oxygen Transfer Calculator — tool.io

Similar or alternative tools

Don't forget to set a bookmark for tool.io!
Privacy | Imprint | Cookies