Dye Trace Time of Travel Velocity Calculator

Actual dye travel velocity along independently established path and selected arrival definition, not straightline source/spring distance assumed hydrological path. Actual independently matched quantities/units required; not infer causal effect, clinical guidance or safe design.

Description

Tracer travel distance divided by observed travel time gives an apparent travel speed.

Tracer travel distance divided by observed travel time gives an apparent travel speed.1

That endpoint-based metric does not locate an underground route or characterize its full residence-time distribution.

When to use Dye Trace Time of Travel Velocity Calculator

Use this tool to calculate apparent tracer travel speed from the independently matched numerator and denominator. Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.

How to use Dye Trace Time of Travel Velocity Calculator and understand its results

  1. Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.
  2. Enter actualIndependentlyEstablishedTracerTravelDistanceMeters, actualObservedTracerTravelSeconds, using the field meanings and rules below, then run the tool.
  3. Read result.observedRatio as apparent tracer travel speed in metres per second. Check the observation scope and assumptions before using the result.
  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
actualIndependentlyEstablishedTracerTravelDistanceMetersActual independently established tracer travel distance metersnumberRequired
actualObservedTracerTravelSecondsActual observed tracer travel secondsnumberRequired

Require a finite nonnegative actual independently established tracer travel distance meters and a strictly positive actual observed tracer travel seconds. Divide the first by the second to obtain apparent tracer travel speed, expressed as metres per second. Use compatible observations on the declared basis; no unit conversion or parameter selection is performed. The numerical ratio is not clamped to one.

apparent_tracer_travel_speed=tracerTravelDistanceMeters/observedTravelSeconds

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

Output fieldMeaningValue type
resultQualified observed calculation or explicit referenceobject
result.observedRatioApparent tracer travel speed, expressed as metres per second.number
json
{
  "input": {
    "actualIndependentlyEstablishedTracerTravelDistanceMeters": 2,
    "actualObservedTracerTravelSeconds": 4
  },
  "output": {
    "result": {
      "observedRatio": 0.5
    }
  }
}

Limitations and assumptions

The actual observation coverage, calibration and qualified plan determine applicability. A numerical result does not establish survey accuracy, route suitability, atmosphere conditions or equipment adequacy beyond the declared comparison.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Extremely large composite outputs are rejected.

Alternative or Complementary methods

For a related step, use Karst Spring Discharge Dilution Gauging Calculator: Slug-dilution discharge relates injected tracer mass to the time integral of background-corrected concentration. For a complementary comparison, use Dye Recovery Percentage Calculator: Tracer recovery integrates measured concentration times matched discharge over observation time.

References

  1. Dye Trace Time of Travel Velocity Calculator — tool.io

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