Karst Spring Discharge Dilution Gauging Calculator
Slug-dilution Q=actual injected mass/∫background-corrected Cdtunder independently complete recovery, constant flow and full mixing. Not dye observed recovery using separately measuredQor a safe stream-entry assessment.
Description
Slug-dilution discharge relates injected tracer mass to the time integral of background-corrected concentration.
Slug-dilution discharge relates injected tracer mass to the time integral of background-corrected concentration.1
Constant flow, full mixing and complete recovery are model assumptions that need independent support.
When to use Karst Spring Discharge Dilution Gauging Calculator
Use this tool to obtain conditionalConstantSpringDischarge from the supplied records using the stated calculation. Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.
How to use Karst Spring Discharge Dilution Gauging Calculator and understand its results
- Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.
- Enter actualInjectedTracerMass, actualElapsedSeconds, actualBackgroundCorrectedTracerConcentrations, using the field meanings and rules below, then run the tool.
- Read result.conditionalConstantSpringDischarge. Use the units and sign conventions below, and review any unknown records separately.
- Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualInjectedTracerMass | Actual injected tracer mass | number | Required |
| actualElapsedSeconds | Actual elapsed seconds | list of number | Required |
| actualBackgroundCorrectedTracerConcentrations | Actual background corrected tracer concentrations | list of number | Required |
Require positive injected mass and at least two aligned strictly increasing finite elapsed-time coordinates with nonnegative background-corrected concentrations. Integrate concentration over time by trapezoids; require a positive integral. Divide mass by the integral, using compatible mass, volume and second units for volume per second. Complete recovery, mixing and constant flow are not independently checked.
Q=injectedMass/Σ((t_(i+1)−t_i)×(C_i+C_(i+1))/2) Use the matching field units and the exact boundary, ordering and reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Qualified observed calculation or explicit reference | object |
| result.conditionalConstantSpringDischarge | Conditional Constant Spring Discharge | number |
{
"input": {
"actualInjectedTracerMass": 4,
"actualElapsedSeconds": [
0,
1,
2
],
"actualBackgroundCorrectedTracerConcentrations": [
0,
2,
0
]
},
"output": {
"result": {
"conditionalConstantSpringDischarge": 2
}
}
}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. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries, subject to the narrower lengths and code rules above. Extremely large composite outputs are rejected.
Alternative or Complementary methods
For a related step, use Dye Trace Time of Travel Velocity Calculator: Tracer travel distance divided by observed travel time gives an apparent travel speed. For a complementary comparison, use Dye Recovery Percentage Calculator: Tracer recovery integrates measured concentration times matched discharge over observation time.
References
Similar or alternative tools
- Dye Trace Time of Travel Velocity Calculator
Tracer travel distance divided by observed travel time gives an apparent travel speed.
- Dye Recovery Percentage Calculator
Tracer recovery integrates measured concentration times matched discharge over observation time.