Pumice Density Floating Checker

Model pore-water uptake at fixed pumice envelope volume and report a signed neutral-buoyancy fill fraction; values outside [0,1] identify unreachable thresholds, not an invented flotation guarantee.

Description

Pumice can gain density when water enters connected pores.

Pumice can gain density when water enters connected pores. Neutral buoyancy occurs when its envelope-average density equals water density.

Model pore-water uptake at fixed pumice envelope volume and report a signed neutral-buoyancy fill fraction; values outside [0,1] identify unreachable thresholds, not an invented flotation guarantee.

When to use Pumice Density Floating Checker

Use this tool to model pore-water uptake at fixed pumice envelope volume and report a signed neutral-buoyancy fill fraction; values outside [0,1] identify unreachable thresholds, not an invented flotation guarantee.

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

How to use Pumice Density Floating Checker 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 dryPumiceBulkDensityKgPerM3, waterDensityKgPerM3, connectedPoreVolumeFraction, waterFilledConnectedPoreFraction using the field table and calculation rules, then run the tool.
  3. Read wettedBulkDensityKgPerM3, modelWaterFillFractionAtNeutralBuoyancy, positiveBuoyancyUnderModel. 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
dryPumiceBulkDensityKgPerM3Dry pumice bulk density kg per m3numberRequired
waterDensityKgPerM3Water density kg per m3numberRequired
connectedPoreVolumeFractionConnected pore volume fractionnumberRequired
waterFilledConnectedPoreFractionWater filled connected pore fractionnumberRequired

Use positive densities and connected porosity in (0,1], with fill in [0,1]. Compute wet density, the fill needed for neutral buoyancy, and a strict density-less-than-water flag. Retain threshold fill values outside [0,1].1

wet density = dry density + water density × connected porosity × pore fill

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

Output fieldMeaningValue type
wettedBulkDensityKgPerM3Wetted bulk density kg per m3number
modelWaterFillFractionAtNeutralBuoyancyModel water fill fraction at neutral buoyancynumber
positiveBuoyancyUnderModelPositive buoyancy under modelboolean
json
{
  "input": {
    "dryPumiceBulkDensityKgPerM3": 500,
    "waterDensityKgPerM3": 1000,
    "connectedPoreVolumeFraction": 0.6,
    "waterFilledConnectedPoreFraction": 0.5
  },
  "output": {
    "wettedBulkDensityKgPerM3": 800,
    "modelWaterFillFractionAtNeutralBuoyancy": 0.8333333333333334,
    "positiveBuoyancyUnderModel": true
  }
}

Limitations and assumptions

Fixed envelope volume and connected pores are assumed; an unreachable threshold is not a guaranteed flotation outcome.

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. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Hyperconcentrated Flow Density Range Checker: Screen density-derived solid volume concentrations against a caller hyperconcentrated-flow band; existing mining tools infer pulp mass fraction, not this flow-regime volume policy, and gas-rich mixtures are unsupported. For a complementary task, use Clast Terminal Velocity Lithic: Balance spherical-clast buoyant weight against caller constant quadratic drag and report Reynolds number for applicability review; not a Stokes viscous law, nonspherical drag solver or hazard trajectory.

References

  1. Pumice Density Floating Checker — tool.io

Similar or alternative tools

  • Hyperconcentrated Flow Density Range Checker

    Screen density-derived solid volume concentrations against a caller hyperconcentrated-flow band; existing mining tools infer pulp mass fraction, not this flow-regime volume policy, and gas-rich mixtures are unsupported.

  • Clast Terminal Velocity Lithic

    Balance spherical-clast buoyant weight against caller constant quadratic drag and report Reynolds number for applicability review; not a Stokes viscous law, nonspherical drag solver or hazard trajectory.

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