Dust Dilution Ventilation Calculator

Audit observed Dust tracer traverse concentrations/flow to infer actual source before caller steady dilution comparison, unlike existing supplied-source generic max-flow model; no ventilation setting or mine safety clearance. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.

Description

A measured dust concentration change across an air traverse can infer a source rate under a steady matched-flow model.

A measured dust concentration change across an air traverse can infer a source rate under a steady matched-flow model.1

Comparing that source with a supplied outlet limit requires the inlet concentration and a positive permitted margin.

When to use Dust Dilution Ventilation Calculator

Use this tool to calculate or review the supplied observations under the stated rules. Match completed survey or ledger observations by block, segment or stage and confirm their units and boundaries.

How to use Dust Dilution Ventilation Calculator and understand its results

  1. Match completed survey or ledger observations by block, segment or stage and confirm their units and boundaries.
  2. Enter observedDustTraverseFlowsM3Second, observedDustInletConcentrations, observedDustOutletConcentrations, callerDustPermittedOutletConcentrations, using the field meanings and rules below, then run the tool.
  3. Read inferredMeasuredSourceRates, steadyModelRequiredFlowsM3Second. 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
observedDustTraverseFlowsM3SecondObserved dust traverse flows m3 secondlist of numberRequired
observedDustInletConcentrationsObserved dust inlet concentrationslist of numberRequired
observedDustOutletConcentrationsObserved dust outlet concentrationslist of numberRequired
callerDustPermittedOutletConcentrationsCaller dust permitted outlet concentrationslist of numberRequired

Use aligned positive measured flow and nonnegative inlet, outlet and permitted concentrations in one consistent concentration basis. Require outlet≥inlet and permitted>inlet. Infer source=flow×(outlet−inlet), then requiredFlow=source/(permitted−inlet). Source units follow the concentration basis; no limit is chosen by the tool.

source_i=flow_i(outlet_i−inlet_i); requiredFlow_i=source_i/(permitted_i−inlet_i)

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

Output fieldMeaningValue type
inferredMeasuredSourceRatesInferred measured source rateslist of number
steadyModelRequiredFlowsM3SecondSteady model required flows m3 secondlist of number
json
{
  "input": {
    "observedDustTraverseFlowsM3Second": [
      10,
      20
    ],
    "observedDustInletConcentrations": [
      1,
      1
    ],
    "observedDustOutletConcentrations": [
      2,
      3
    ],
    "callerDustPermittedOutletConcentrations": [
      3,
      5
    ]
  },
  "output": {
    "inferredMeasuredSourceRates": [
      10,
      40
    ],
    "steadyModelRequiredFlowsM3Second": [
      5,
      10
    ]
  }
}

Limitations and assumptions

Units, ledger boundaries, survey interpretation and model applicability must be independently established. These summaries do not assign reserve/resource classifications or establish support adequacy, ventilation safety or an operating setting.

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 Diesel Dilution Ventilation Calculator: A measured diesel-tracer concentration change across an air traverse can infer a source rate under a steady matched-flow model. For a complementary comparison, use Ventilation Air Velocity Calculator: An air traverse integrates signed normal velocity across sampled duct cells.

References

  1. Dust Dilution Ventilation Calculator — tool.io

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