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Earthquake Distance Calculator

Estimate earthquake distance from P-wave and S-wave arrival time difference.
Used in basic seismology.

Estimated Distance

Earthquake location can be estimated from the time difference between P-waves and S-waves.

P-waves (Primary waves) travel faster through the Earth. S-waves (Secondary waves) travel slower.

Average wave speeds:

  • P-waves: ~6.0 km/s (3.7 mi/s) through Earth’s crust
  • S-waves: ~3.5 km/s (2.2 mi/s) through Earth’s crust

Formula:

Distance = Time Difference × (Vp × Vs) / (Vp - Vs)

Where:

  • Vp = P-wave velocity (6.0 km/s)
  • Vs = S-wave velocity (3.5 km/s)

Example: If S-wave arrives 10 seconds after P-wave:

  • Distance = 10 × (6.0 × 3.5) / (6.0 - 3.5)
  • Distance = 10 × 21 / 2.5 = 84 km (52 miles)

Quick estimate: Each second of P-S delay ≈ 8 km (5 miles) of distance.

Note: Three or more stations are needed to pinpoint the exact epicenter (triangulation).


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