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S wave

earth science Maturity 11-13 Next article →

S waves are a fundamental type of elastic wave used in seismology. They are also known as secondary waves or shear waves. These waves are classified as elastic body waves because they move through the interior of an object. This distinguishes them from surface waves, which only travel along the top layer of a material. S waves are essential for understanding the internal structure of our planet. By studying how they move, scientists can map the different layers of the Earth.

Speeds of seismic waves
Speeds of seismic waves

To understand how an S wave works, we must look at its movement. S waves are transverse waves. This means the particles in the medium move perpendicular to the direction the wave travels. If a wave moves forward, the particles shake up and down or side to side. This motion is driven by a restoring force called shear stress. Because of this specific mechanism, S waves have strict limits on where they can go. They cannot travel through gases or liquids with very low viscosity. However, they can move through liquids that have high viscosity.

Speeds of seismic waves
Speeds of seismic waves

In the study of earthquakes, S waves follow a specific sequence of detection. They are called secondary waves because they are the second type of wave to arrive at a seismograph. They follow the primary waves, which are known as P waves or compressional waves. S waves travel more slowly in solids than P waves do. This speed difference allows scientists to use the time gap between waves to calculate distances. The arrival order is a reliable way to identify the type of energy passing through the ground.

Speeds of seismic waves
Speeds of seismic waves

S waves provide a unique way to see deep inside the Earth. They cannot travel through the molten outer core because the outer core is liquid. This inability to pass through liquid creates a shadow zone on the side of the Earth opposite the earthquake. However, S waves can propagate through the solid inner core. When a P wave hits the boundary between the liquid and solid cores at an oblique angle, S waves can form. These S waves then move through the solid medium. When they hit the next boundary at an angle, they can turn back into P waves. This process helps seismologists determine the physical properties of the inner core.

Speeds of seismic waves
Speeds of seismic waves

The mathematical theory of these waves dates back to the 19th century. In 1830, a mathematician named Siméon Denis Poisson presented an essay to the French Academy of Sciences. His work focused on the propagation of elastic waves in solids. Poisson proposed that an earthquake would produce two distinct types of spherical waves. He noted that one would travel at a certain speed, while the other would travel at a different speed. He described the first type as having expansions and compressions. He described the second type, which we now call S waves, as having stretching motions. These motions occur parallel to the wave front without changing the overall volume.

Speeds of seismic waves
Speeds of seismic waves

In advanced physics, we describe these waves using complex equations. In a solid medium that is isotropic, the deformation responds the same way in all directions. Scientists use a strain tensor to describe how a material deforms under stress. This is related to a stress tensor through Lamé parameters, which include the shear modulus. The shear modulus represents the material's resistance to shearing. In viscoelastic materials, the speed of the wave depends on frequency. This is often explained using the Voigt Model, which looks at both stiffness and viscosity.

Speeds of seismic waves
Speeds of seismic waves

Beyond studying the Earth, S wave technology is used in modern medicine. One method is called magnetic resonance elastography, or MRE. This technique studies the properties of biological materials in living organisms. A vibrator is used to send shear waves through organic tissue at specific frequencies. Then, magnetic resonance imaging is used to watch how the tissue responds to those waves. By measuring the speed and wavelength, doctors can find the shear modulus of the tissue. This helps them study the stiffness of the human brain, bone, and liver.

Speeds of seismic waves
Speeds of seismic waves
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