Seismic Waves: How Earthquakes Reveal Earth's Interior

simulator intermediate ~10 min
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S-P lag ≈ 62 seconds at 500 km distance

A magnitude 6 earthquake at 30km depth produces P-waves arriving at 500km distance in about 83 seconds and S-waves in about 145 seconds. The 62-second S-P lag can be used to estimate the distance to the epicenter.

Formula

M₀ = μAD (seismic moment: rigidity × fault area × slip distance)
Mw = (2/3)log₁₀(M₀) - 10.7 (moment magnitude)
E = Math.pow(10, 1.5 * Mw + 4.8) joules (seismic energy)

Waves Through the Earth

When rock suddenly fractures along a fault, the stored elastic energy radiates outward as seismic waves. These waves carry information about both the earthquake source and the material they pass through. Just as a doctor uses ultrasound to image the body's interior, seismologists use earthquake waves to map Earth's hidden structure — from the thin crust to the solid iron inner core 5,150 km below our feet.

P-Waves, S-Waves, and Surface Waves

Earthquakes generate three main wave types. P-waves (compressional) are fastest, arriving first — they squeeze and stretch rock in the travel direction. S-waves (shear) are slower, moving rock sideways. Both travel through Earth's deep interior. Surface waves (Love and Rayleigh waves) travel along the surface and cause the most destruction — rolling the ground like ocean waves. The critical discovery: S-waves cannot travel through liquids, which proved that Earth's outer core is molten.

The Simulation

This visualization shows a cross-section through Earth with its concentric layers: crust (thin outer shell), mantle (thick rocky layer), liquid outer core (orange), and solid inner core (yellow). The earthquake source appears as a red star at the specified depth. Watch wavefronts expand outward — P-waves (cyan) racing ahead of S-waves (red), with surface waves rolling along the top. A synthetic seismogram at the observer distance shows the characteristic wave arrivals.

Reading the Seismogram

The seismogram trace shows ground motion over time at your chosen distance. The P-wave arrives first as a sharp, small signal. The S-wave follows with larger amplitude. Surface waves arrive last with the longest period and highest amplitude — they cause the most building damage. The S-P time lag increases with distance: at 500 km it is about 62 seconds, at 5000 km about 620 seconds. Three stations' S-P times are enough to locate an earthquake's epicenter through triangulation — the same principle as GPS.

FAQ

What are P-waves and S-waves?

P-waves (Primary) are compressional waves — they push and pull material in the direction of travel, like sound waves. They are the fastest seismic waves (6-13 km/s) and can travel through solids, liquids, and gases. S-waves (Secondary) are shear waves — they move material perpendicular to travel direction. They are slower (3.5-7 km/s) and cannot pass through liquids.

How do seismic waves reveal Earth's structure?

S-waves cannot pass through liquids, so their absence on the far side of an earthquake proves Earth's outer core is liquid. Changes in wave speed reveal layer boundaries (Moho, core-mantle boundary). Refraction and reflection patterns map the detailed velocity structure of Earth's interior.

How is earthquake magnitude measured?

The moment magnitude scale (Mw) measures the total energy released. It is logarithmic: each whole number increase represents about 32 times more energy. The 2011 Tohoku earthquake (Mw 9.1) released about 1000 times more energy than the 1989 Loma Prieta earthquake (Mw 6.9).

What is the S-P lag time method?

Since P-waves travel faster than S-waves, the time difference between their arrivals increases with distance from the earthquake. By measuring this S-P lag at three or more seismic stations, scientists can triangulate the earthquake's epicenter location.

Sources

Embed

<iframe src="https://homo-deus.com/lab/earth-science/earthquake-waves/embed" width="100%" height="400" frameborder="0"></iframe>
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