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
- Read the seismogram and measure the S-P time interval — the gap in seconds between the first P-wave and first S-wave arrival.
- Enter the P-wave velocity (km/s) for the local crust; the default 6.0 km/s is a typical continental average.
- Enter the S-wave velocity (km/s); 3.5 km/s is standard for continental crust.
- The calculator returns the Distance to epicenter (km). Use readings from three stations to triangulate the exact epicenter location.
- 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) |
|---|---|
| 1.25 | 47.37 |
| 3.13 | 196.31 |
| 5.38 | 1,561.94 |
| 7.25 | 15,986.25 |
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
- Identify Input ParametersS-P time interval (seconds) = 30, P-wave velocity (km/s) = 6, S-wave velocity (km/s) = 3.5 = 3 input(s) provided
- Calculate Distance to epicenterDistance to epicenter = (vp * vs / (vp - vs)) * spInterval252 = 252
- Calculate DistanceDistance = distanceKm * 0.621371156.59 = 156.59
- Calculate DistanceDistance = distanceKm / 111.192.266 = 2.266
Related Calculators
The questions that sit next to this one — chosen by subject, including calculators filed under a different category.
Earth Science
Volcano Hazard Zone Calculator
Hazard radius from eruption type and VEI.
Earth ScienceLandslide Risk Calculator
Slope stability factor from soil, angle, and water table.
Structural EngineeringSeismic Base Shear Calculator
Calculate seismic base shear using the ASCE 7 equivalent lateral force procedure: V = Cs × W.
Property InsuranceEarthquake Insurance Calculator
Estimate earthquake insurance premiums and deductible amounts based on risk zone, construction type, and coverage level.
GeologySeismic Magnitude Converter
Convert seismic magnitude to energy released (Joules, TNT equivalent) and Modified Mercalli Intensity (MMI).
More in Science & Physics.