6.1.5 Waves for detection and exploration (HT)
Detecting hidden structures with waves
Waves can reveal structures hidden from view because different materials change a wave's velocity, absorption and reflection in different ways.
- A wave may travel at a different velocity through different materials.
- Some of a wave's energy is absorbed, reducing the energy that reaches a detector.
- Part of a wave is reflected when it meets a boundary between two materials.
- By detecting reflected waves and timing how long they take to return, scientists can locate hidden boundaries and work out what materials the waves passed through.
Ultrasound imaging
Ultrasound
Ultrasound is sound with a frequency higher than the upper limit of human hearing, above 20 kHz20\ \text{kHz}20 kHz.
- Ultrasound is partially reflected at a boundary between two different media, while the rest carries on or is absorbed.
- A detector records the reflected pulse, and if the velocity is known the time for the pulse to return gives the distance to the boundary. d=vt2d = \frac{v t}{2}d=2vt.
- ddd is the distance to the boundary in m\text{m}m, vvv is the wave velocity in m/s\text{m/s}m/s, and ttt is the total time to travel there and back in s\text{s}s.
- The division by 222 is needed because the measured time covers both the outward and return journeys.
- In medical imaging, reflections from boundaries between tissues build up an image inside the body, and in industrial imaging ultrasound reveals hidden cracks or flaws in solid objects.
An ultrasound pulse travels at 3200 m/s3200\ \text{m/s}3200 m/s and its reflection is detected 0.0025 s0.0025\ \text{s}0.0025 s after it is sent out. Calculate the depth of the reflecting boundary.
- State the equation: d=vt2d = \dfrac{vt}{2}d=2vt.
- Find the total distance travelled: 3200×0.0025=8.0 m3200 \times 0.0025 = 8.0\ \text{m}3200×0.0025=8.0 m.
- Halve it to find the depth: d=8.02=4.0 md = \dfrac{8.0}{2} = 4.0\ \text{m}d=28.0=4.0 m.
Seismic waves and the Earth's core
Seismic waves
Seismic waves are waves produced by earthquakes that travel through the Earth.
- P-waves are longitudinal seismic waves that travel through both solids and liquids, at different speeds in each.
- S-waves are transverse seismic waves that travel through solids but cannot travel through liquids.
- Seismic waves are recorded at monitoring stations around the world, which compare which waves arrive, when, and where.
- S-waves are not detected after passing through the liquid part of the Earth's core, which is evidence that this region is liquid.
- P-waves pass through both solid and liquid regions but change velocity between them, so their paths and arrival times reveal the positions of boundaries inside the Earth.
- Together, P-wave and S-wave observations provide evidence for the structure and size of the Earth's core.
Echo sounding
- Echo sounding uses high-frequency sound waves to detect objects in deep water and to measure water depth.
- A transmitter sends a sound pulse down through the water, it is reflected by the seabed or an object, and the echo returns to a detector.
- The depth is found from the sound velocity and the total echo time, again halving because the pulse travels there and back. depth=sound velocity×echo time2\text{depth} = \frac{\text{sound velocity} \times \text{echo time}}{2}depth=2sound velocity×echo time.
- For example, if sound travels at 1500 m/s1500\ \text{m/s}1500 m/s and the echo returns after 0.40 s0.40\ \text{s}0.40 s, the depth is 1500×0.402=300 m\dfrac{1500 \times 0.40}{2} = 300\ \text{m}21500×0.40=300 m.
Evidence from indirect observations
- The Earth's deep interior cannot be observed directly, so seismic waves are used as indirect evidence.
- As more earthquake data were gathered worldwide, patterns in the detection of P-waves and S-waves led scientists to discover hidden regions and improve the model of the core's structure and size.
- A reflected wave travels to the boundary and back, so divide the total distance by 222; do not use d=vtd = vtd=vt for the depth.
- S-waves can travel through solids; they only fail to travel through liquids, whereas P-waves travel through both.
- Give a full chain: the wave travels into the material, it changes velocity or is partially reflected at a boundary, a detector records the returning wave, and the timing is used to find the boundary's position or the material's state.
- In ultrasound and echo-sounding calculations, remember the factor of 222 for the there-and-back path.
- What is ultrasound, and what happens to it at a boundary between two media?
- Which equation gives the distance to a reflecting boundary, and why is there a factor of two?
- How do P-waves and S-waves differ, and which cannot pass through a liquid?
- How does the behaviour of seismic waves give evidence about the Earth's core?
- How does echo sounding measure water depth?