DRE To Tephra Volume Conversion

Convert declared whole-deposit DRE to bulk tephra volume by mass conservation, splitting supplied juvenile/lithic mass share; packing, vesicles and interclast pores are already embodied in measured bulk density.

Description

DRE and bulk tephra volumes represent the same deposit mass at different densities.

DRE and bulk tephra volumes represent the same deposit mass at different densities. Measured bulk density already includes packing and pore space.

Convert declared whole-deposit DRE to bulk tephra volume by mass conservation, splitting supplied juvenile/lithic mass share; packing, vesicles and interclast pores are already embodied in measured bulk density.

When to use DRE To Tephra Volume Conversion

Use this tool to convert declared whole-deposit DRE to bulk tephra volume by mass conservation, splitting supplied juvenile/lithic mass share; packing, vesicles and interclast pores are already embodied in measured bulk density.

Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.

How to use DRE To Tephra Volume Conversion and understand its results

  1. Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
  2. Enter denseRockEquivalentVolumeM3, denseRockDensityKgPerM3, depositBulkDensityKgPerM3, juvenileMassFraction using the field table and calculation rules, then run the tool.
  3. Read tephraBulkVolumeM3, totalDepositMassKg, juvenileMassKg, lithicMassKg. 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
denseRockEquivalentVolumeM3Dense rock equivalent volume m3numberRequired
denseRockDensityKgPerM3Dense rock density kg per m3numberRequired
depositBulkDensityKgPerM3Deposit bulk density kg per m3numberRequired
juvenileMassFractionJuvenile mass fractionnumberRequired

Use positive densities, nonnegative DRE volume and juvenile mass fraction in [0,1]. Convert volume by mass conservation and split mass into juvenile and lithic shares.1

mass = DRE volume × rock density; bulk volume = mass/bulk density

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

Output fieldMeaningValue type
tephraBulkVolumeM3Tephra bulk volume m3number
totalDepositMassKgTotal deposit mass kgnumber
juvenileMassKgJuvenile mass kgnumber
lithicMassKgLithic mass kgnumber
json
{
  "input": {
    "denseRockEquivalentVolumeM3": 100,
    "denseRockDensityKgPerM3": 2000,
    "depositBulkDensityKgPerM3": 1000,
    "juvenileMassFraction": 0.8
  },
  "output": {
    "tephraBulkVolumeM3": 200,
    "totalDepositMassKg": 200000,
    "juvenileMassKg": 160000,
    "lithicMassKg": 39999.99999999999
  }
}

Limitations and assumptions

The declared DRE covers the whole deposit. Do not apply an additional pore correction to the supplied bulk density.

Numbers and computed results must be finite; overflow produces an error. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Tephra Volume Weibull Integration: Integrate axisymmetric Weibull-form radial tephra thickness to a supplied truncation radius by bounded Simpson quadrature; caller panels control approximation and no infinite-tail volume or mapped dispersal is inferred. For a complementary task, use Juvenile Lithic Proportion Percent: Pool observed juvenile/lithic clast counts using a classified denominator and retain unclassified coverage separately; count proportions are not mass or volume proportions.

References

  1. DRE To Tephra Volume Conversion — tool.io

Similar or alternative tools

  • Tephra Volume Weibull Integration

    Integrate axisymmetric Weibull-form radial tephra thickness to a supplied truncation radius by bounded Simpson quadrature; caller panels control approximation and no infinite-tail volume or mapped dispersal is inferred.

  • Juvenile Lithic Proportion Percent

    Pool observed juvenile/lithic clast counts using a classified denominator and retain unclassified coverage separately; count proportions are not mass or volume proportions.

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