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Calcimator

Earthquake Distance Calculator

Epicenter distance from P-wave and S-wave arrival times.

Inputs

Results

Distance to epicenter (km)

252

Distance (miles)156.59
Distance (degrees)2.27
P-wave travel time (s)42
S-wave travel time (s)72
Verified S-P interval (s)30
How to Use This Calculator
  1. Read the seismogram and measure the S-P time interval — the gap in seconds between the first P-wave and first S-wave arrival.
  2. Enter the P-wave velocity (km/s) for the local crust; the default 6.0 km/s is a typical continental average.
  3. Enter the S-wave velocity (km/s); 3.5 km/s is standard for continental crust.
  4. The calculator returns the Distance to epicenter (km). Use readings from three stations to triangulate the exact epicenter location.
  5. Check the Verified S-P interval output — it should match your measured interval, confirming consistent inputs.

How the result changes with S-wave velocity (km/s)

S-wave velocity (km/s)Distance to epicenter (km)
1.2547.37
3.13196.31
5.381,561.94
7.2515,986.25

What each input means

S-P time interval (seconds)
Time difference between S-wave and P-wave arrivals on the seismogram.
P-wave velocity (km/s)
Compressional wave speed. Typical crustal average is ~6.0 km/s.
S-wave velocity (km/s)
Shear wave speed. Typical crustal average is ~3.5 km/s.

What each result means

Distance to epicenter (km)
Estimated distance from the seismograph station to the earthquake epicenter.
Distance (miles)
Epicentral distance converted to miles.
Distance (degrees)
Epicentral distance in degrees of arc (~111.19 km per degree).
P-wave travel time (s)
Time for the P-wave to travel from the epicenter at the given velocity.
S-wave travel time (s)
Time for the S-wave to travel from the epicenter at the given velocity.
Verified S-P interval (s)
Cross-check: S travel time minus P travel time (should match your input).

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    S-P time interval (seconds) = 30, P-wave velocity (km/s) = 6, S-wave velocity (km/s) = 3.5 = 3 input(s) provided
  2. Calculate Distance to epicenter
    Distance to epicenter = (vp * vs / (vp - vs)) * spInterval
    252 = 252
  3. Calculate Distance
    Distance = distanceKm * 0.621371
    156.59 = 156.59
  4. Calculate Distance
    Distance = distanceKm / 111.19
    2.266 = 2.266

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