Describe and compare the
velocities of P- and S-waves with
depth in Earth's mantle.
Velocity of earthquake waves (m/s)
00
22
110
14
0
0
0
1000
2000
3000 4000 5000
6000
Depth (km)
P-waves
S-waves-density
lithosphere asthenosphere mesosphere outer core inner core
2
10
14
12
Density (g/cm³)



Answer :

In the Earth's mantle, both P-waves (Primary waves) and S-waves (Secondary waves) increase in velocity with depth due to increasing pressure and density of the rocks. However, their behaviors as they travel through different layers of the Earth's interior are distinct.

P-waves are compressional waves that can travel through solids, liquids, and gases. They are the fastest seismic waves and arrive first at seismic recording stations. As P-waves descend into the Earth:

1. The velocity of P-waves generally increases as they encounter more rigid and dense material.
2. Within the uppermost mantle, the lithosphere, P-waves travel at lower velocities due to the relatively cooler and more brittle rock.
3. Beneath the lithosphere is the asthenosphere, where P-wave velocities are lower compared to the lower mantle (mesosphere). This is because the rocks in the asthenosphere are closer to their melting point and thus less rigid.
4. Deeper into the mantle, the mesosphere, the increased pressure and higher density lead to an increase in P-wave velocity.
5. Upon reaching the core-mantle boundary, P-wave velocities will undergo a change due to the different properties of the outer core.

S-waves are shear waves, and they can only travel through solids. Unlike P-waves, they are slower and arrive at seismic stations after the P-waves. The characteristic velocity behavior of S-waves through the Earth's interior includes:

1. S-wave velocities typically increase with depth in the mantle due to increasing rigidity of the rocks.
2. In the lithosphere, S-waves travel more slowly comparably as the material is not as rigid as deeper in the mantle.
3. When S-waves reach the asthenosphere, their velocity may reduce slightly or vary due to the partially molten state of this layer.
4. Deeper into the mantle, the velocity of S-waves increases again, reflecting the higher rigidity and pressure in the mesosphere.
5. However, S-waves can't travel through the liquid outer core, so their velocity drops to zero at the core-mantle boundary, and they do not reappear until the inner core where the material is solid again.

From a density perspective, both types of waves are influenced by the increasing density of the Earth's interior layers. The density increases with depth from the lithosphere and asthenosphere into the denser mesosphere. As P-waves are less affected by the state of matter (solid, liquid, gas) compared to S-waves, they continue to travel through the outer core despite the increase in density, albeit with changes in velocity due to the liquid state. The inner core, which is solid and even denser, sees an increase in velocity for P-waves, and the re-emergence of S-waves.

The velocities of both P- and S-waves, as well as their behavior at different depths, are crucial for seismology and understanding the Earth's internal structure. They allow scientists to infer the composition, state, and transitions between different layers of the Earth's interior based on the seismic data obtained from earthquakes.