Seismogram Analyzer: P-Wave, S-Wave & Surface Wave Identification

simulator intermediate ~10 min
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S-P = 25.0 s — source approximately 200 km away

At 200 km distance, a Mw 5.0 earthquake at 15 km depth produces a clear P-wave at ~33 s, S-wave at ~58 s, with an S-P interval of ~25 s. The 8 km/s rule gives a quick distance estimate: Δ ≈ 8 × Δt.

Formula

t_P ≈ Δ / 6.0 (crustal P-wave approximation)
t_S ≈ Δ / 3.5 (crustal S-wave approximation)
Δ ≈ 8 × (t_S - t_P) km — quick distance estimate

Reading the Earth's Signals

A seismogram is a time-series recording of ground motion caused by seismic waves. Modern broadband seismometers capture three components (vertical, north-south, east-west) of ground velocity over a frequency range from 0.001 to 50 Hz. The ability to read and interpret seismograms — identifying wave types, measuring arrival times, and estimating magnitudes — is the foundational skill of observational seismology.

Body Wave Arrivals

The first signal to arrive is the P-wave, a compressional pulse traveling at 5.8–8.1 km/s through the crust and upper mantle. The S-wave arrives second, traveling at roughly 60% of the P-wave speed. The time difference between P and S arrivals increases linearly with distance at about 1 second per 8 km, providing a quick distance estimate. For crustal earthquakes, P is typically a sharp onset followed by coda, while S has a more emergent character on horizontal components.

Surface Waves

At regional to teleseismic distances, surface waves dominate the seismogram. Love waves (SH motion) and Rayleigh waves (retrograde elliptical motion) travel slower than body waves but with less geometric spreading, so they carry the majority of seismic energy. Their dispersive character — long-period components travel faster because they sample deeper (faster) structure — produces a characteristic waveform train that sweeps from low to high frequency, enabling measurement of crustal and mantle velocity profiles.

Modern Analysis

Today's seismogram analysis uses digital signal processing: bandpass filtering isolates specific wave types, spectral analysis reveals source characteristics, and cross-correlation with synthetic seismograms (computed from Earth models) enables precise moment tensor inversion. Automated picking algorithms process thousands of earthquakes per day at global monitoring centers, while machine learning approaches are increasingly used for phase identification and event detection in noisy data.

FAQ

What are P-waves and S-waves?

P-waves (primary) are compressional waves that travel fastest (~6 km/s in the crust) and arrive first. S-waves (secondary) are shear waves that travel at ~60% of P-wave speed and arrive second. P-waves can travel through solids, liquids, and gases; S-waves only through solids. This distinction proved Earth has a liquid outer core.

How do you determine distance from a seismogram?

The S-P time difference is approximately Δ/8 seconds (where Δ is in km), giving a quick distance estimate. More precisely, travel-time tables from velocity models like IASP91 are used. Three or more stations provide a unique epicenter through triangulation.

What are surface waves?

Surface waves travel along Earth's surface and include Love waves (horizontal shearing) and Rayleigh waves (elliptical particle motion). They are slower than body waves but carry more energy and cause the most damage in earthquakes. Their dispersive nature — long periods travel faster — is used to study crustal and upper mantle structure.

How does depth affect a seismogram?

Shallow earthquakes (<30 km) produce strong surface waves with complex waveforms. Intermediate (30–300 km) and deep (>300 km) earthquakes produce progressively weaker surface waves but sharp body-wave pulses. Depth phases (pP, sP) — reflections from the surface above the source — provide precise focal depth measurements.

Sources

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