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
| Symbol | Meaning | Unit |
|---|---|---|
dt | S minus P interval | s |
vp | P wave speed | km/s |
vs | S wave speed | km/s |
D | Distance | km |
TP | Seconds | s |
TS | Seconds | s |
KS | Distance | km/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.