Paritian

Science

Earthquake Epicentre Distance Calculator

Distance to an earthquake from the delay between the P and S waves on a seismogram.

Results

Distance 360.00 km
Seconds 45.00 s
Seconds 80.00 s
Distance 10.2857 km/s

What this tool does

P waves travel faster than S waves, so the further away the quake, the wider the gap between the two arrivals — the same trick as counting seconds between lightning and thunder. One station gives a distance but not a direction; three stations, and the circles intersect at the epicentre. Wave speeds vary with rock and depth, so these defaults are crustal averages.

Formula

d = Δt(S−P) × (PV × Vs) ÷ (PV − Vs)

Variables

SymbolMeaningUnit
dtS minus P intervals
vpP wave speedkm/s
vsS wave speedkm/s
DDistancekm
TPSecondss
TSSecondss
KSDistancekm/s

Worked example

  • S minus P interval35 s
  • P wave speed8 km/s
  • S wave speed4.5 km/s
  • Distance360.00 km
  • Seconds45.00 s
  • Seconds80.00 s
  • Distance10.2857 km/s

Limitations

  • The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.
  • The default values are typical reference figures, not measurements of your situation. Replace them with your own data whenever you have it.
  • The formula assumes ideal conditions: no friction losses, no air resistance and no efficiency losses unless you enter them.