Topic 16 - Waves
๐ Topic 16: Waves
Course: GEOL 2503 โ Introduction to Oceanography
๐ What is a Wave?
Definition: Energy moving through a medium.
In the ocean, the medium is water.
The energy moves, but the water itself doesnโt travel โ it moves in circular orbits.
โ How Waves Begin
Generating Force = the initial energy that forms waves.
Wind โ main cause of most ocean waves.
Pebble in a pond.
Earthquakes, meteorite impacts โ cause large waves or tsunamis.
๐ Restoring Force
The force that returns water to its undisturbed level.
Surface tension โ restores small waves (ripples, capillary waves).
Gravity โ restores larger waves (gravity waves).
๐ฌ Types of Waves
Surface waves: travel along the water surface.
Gravity waves: restored by gravity.
Wind waves: generated by wind.
Progressive waves: move (progress) through water.
๐ Wave Terminology
Term | Meaning |
|---|---|
Crest | Highest point of wave |
Trough | Lowest point |
Height (H) | Distance from crest to trough |
Amplitude (A) | Distance from still water level to crest/trough |
Period (T) | Time for two successive crests to pass a point |
Frequency (F) | Number of crests passing a point per second |
Wavelength (L) | Horizontal distance between crests |
๐ Wave Motion
Water particles move in circular orbits.
The energy moves forward, not the water itself.
Orbit diameter decreases with depth โ motion negligible below ยฝ wavelength.
๐ Wave Speed (Celerity)
C=LTC = \frac{L}{T}C=TLโ
Where:
C = wave speed (celerity)
L = wavelength
T = period
Once formed, a waveโs period stays constant, even if speed changes.
๐ Deep-Water Waves (DWW)
Occur when water depth > ยฝ wavelength.
Speed depends on wavelength.
Causes wave dispersion โ longer waves travel faster than shorter ones.
โ Storm Centers and Seas
Most waves are progressive wind waves.
Generated by wind, restored by gravity.
Sea: area of active wave generation, with chaotic, irregular waves of various sizes.
Swell: waves that have moved away from the storm โ smooth, long-crested, and regular.
๐ฌ Wave Dispersion
Long waves travel faster โ sort out from shorter ones.
Process called sorting or dispersion.
Results in swell traveling far from the storm area.
๐ Factors Controlling Wave Height
Wind speed โ stronger wind โ higher waves.
Wind duration โ how long wind blows.
Fetch โ area over which the wind blows.
Fully developed sea: maximum wave height for given wind conditions.
Significant wave height: average height of the highest one-third of waves.
โก Wave Interference
When waves from different sources meet:
Constructive interference: crests align โ higher waves.
Destructive interference: crest meets trough โ waves cancel.
Combination of both leads to irregular wave patterns.
๐ Episodic (Rogue) Waves
Caused by intersecting waves, changing depths, and currents.
Extremely large and unpredictable โ can sink ships.
Amplitude can reach 5โ15 m or more.
๐ Wave Steepness
S=HLS = \frac{H}{L}S=LHโ
Maximum stable steepness โ 1/7 (crest angle โ 120ยฐ).
When exceeded โ wave breaks.
๐ Shallow-Water Waves (SWW)
Form when depth < ยฝ wavelength.
Orbits flatten (become elliptical).
Speed depends on depth, not wavelength.
Cause refraction and wave breaking near the shore.
โฉ Wave Refraction
Refraction = bending of waves as they approach shore at an angle.
Part in shallow water slows down first โ wave bends, becoming parallel to the shoreline.
Causes wave energy concentration on headlands and dispersion in bays.
๐ฅ Wave Breaking
Occurs in surf zone (where waves slow, steepen, and collapse).
Water moves forward when waves break.
Types of Breakers:
Type | Description | Common Location |
|---|---|---|
Spilling breaker | Crest spills over gently; energy released gradually | Gentle slopes |
Plunging breaker | Crest curls over, releasing energy suddenly | Steep slopes |
Surging breaker | Wave slides up shore without breaking | Very steep slopes or seawalls |
โฌ โก Longshore and Rip Currents
Longshore current: movement of water along the coast, caused by waves hitting at an angle.
Rip currents: water piled up on shore returns seaward in narrow, fast-moving channels.
๐ Tsunamis (Seismic Sea Waves)
โTsunamiโ = Japanese for harbor wave.
Not caused by tides.
Generating forces: earthquakes, submarine volcanoes, landslides, or asteroid impacts.
Characteristics:
Very long wavelengths (100โ200 km)
Long periods (20โ30 min)
Low wave heights (1โ2 m) in deep ocean
Behave as shallow-water waves
Travel at ~600 km/hr (372 mph)
โซ Internal Waves
Occur at boundaries between water layers of different densities (e.g., thermocline).
Move slower than surface waves.
๐ช Standing Waves
Do not progress โ oscillate up and down.
Formed when waves are reflected back on themselves.
Have nodes (no motion) and antinodes (maximum motion).
Example: water sloshing in a bay or harbor.
โ Summary: Types of Waves
Type | Generating Force | Restoring Force | Key Features |
|---|---|---|---|
Capillary (ripples) | Wind | Surface tension | Tiny, short-lived |
Wind/Gravity waves | Wind | Gravity | Common surface waves |
Tsunami | Earthquake/impact | Gravity | Long wavelength, fast |
Internal | Density difference | Gravity | Subsurface |
Standing | Reflection | โ | Oscillate in place |