Volcano VEI Calculator

Volcano VEI, plume, and size from ejecta.

Physics and EnergyUpdated 2026-10-131 min read
Volcano VEI Calculator
VEI
...
Plume...
Size...

What it does

Volcanoes earn VEI numbers by volume: each step erupts ten times the last, from gentle 0 to civilization scale 8. Famous eruptions anchor the ladder.

The tool above takes ejecta cubic kilometers. It returns VEI with plume height and a size word.

The default 1.5 km3 reads VEI 5 with plumes over 25 km. The 10 case reads VEI 6 like Pinatubo, and 0.005 reads VEI 2.

Observatory hazard programs publish the tenfold bands with example events per level. Eruption databases repeat the scale with plume columns beside.

Volume rates size while people, ash, and lahars decide harm. Observatories rate real events from deposits; this page screens bands.

How to use

  1. Type ejecta km3.
  2. Read VEI first.
  3. Read plume beside it.
  4. Read the size word last.
  5. Compare famous events.
  6. Defer to observatories.

Formula

VEI by ejecta km3: 0.0001/0.001/0.01/0.1/1/10/100/1000 breaks for 1-8.
ejecta
Tephra volume in cubic km.
VEI
0 to 8 explosivity index.

Volcano observatory hazard programs publish the VEI scale with tenfold volume bands per index. Smithsonian eruption databases mirror the same bands with example events per level. Plume heights follow the standard column table beside volume.

Worked example

Example: 1.5 cubic km

Default: 1.5 km3 ejecta.

  1. Eruption: 1.5 km3 ejecta.
  2. Bands: each VEI spans tenfold volume.
  3. Band: 1 to 10 km3 reads VEI 5.
  4. Plume: over 25 km column.
  5. Word: very large eruption.
  6. Tool shows VEI 5, Plume over 25 km, Very large.

Reference table

VEI bands (km3 ejecta)
VEIVolumeExample
20.001 to 0.01Small
51 to 10St. Helens
610 to 100Pinatubo
7100 to 1000Tambora

Limits

  • Volume bands only.
  • Ejecta estimates vary.
  • Damage needs exposure data.
  • Observatories rule ratings.

Common mistakes

  • Reading VEI as damage.
  • Mixing plume with volume.
  • Trusting early estimates.
  • Skipping lahar risks.
  • Comparing across eras blindly.

Try it yourself

Quick checks. Answers sit tucked under each question.

10 km3?

VEI 6 with plumes over 25 km, colossal.

0.005 km3?

VEI 2 with 1 to 5 km plumes, explosive.

150 km3?

150 km3 reads VEI 7, super-colossal.

Questions

Volume bands?

Under 0.0001 VEI 0 through over 1000 VEI 8, tenfold each step.

Famous examples?

St. Helens 1980 VEI 5, Pinatubo 1991 VEI 6, Tambora 1815 VEI 7.

Bigger always worse?

No, VEI rates size while damage follows people, ash, and lahars.

Volume only?

Yes, plume height, qualitative notes, and tephra all feed real ratings.

Official rating?

No, this screens bands. Observatories rate events with full deposits.

VEI 8 real?

Yes, toward Yellowstone scales. No VEI 8 walks in historic time.

Sources

How this page was checked. The formula above was matched against the cited sources, and the worked example was run through the tool on this page before publishing. If you spot an error, contact us so we can fix it and note the correction.