Topic 16 - Waves

๐ŸŒŠ Topic 16: Waves

Course: GEOL 2503 โ€“ Introduction to Oceanography


๐ŸŒ€ What is a Wave?

  • Definition: Energy moving through a medium.

  • In the ocean, the medium is water.

  • The energy moves, but the water itself doesnโ€™t travel โ€” it moves in circular orbits.


โš™ 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.


๐ŸŒ 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).


๐ŸŒฌ Types of Waves

  1. Surface waves: travel along the water surface.

  2. Gravity waves: restored by gravity.

  3. Wind waves: generated by wind.

  4. Progressive waves: move (progress) through water.


๐Ÿ“ 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


๐Ÿ”„ 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.


๐Ÿš€ Wave Speed (Celerity)

C=LTC = \frac{L}{T}C=TLโ€‹

Where:

  • C = wave speed (celerity)

  • L = wavelength

  • T = period

Once formed, a waveโ€™s period stays constant, even if speed changes.


๐ŸŒŠ 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›ˆ 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.


๐ŸŒฌ 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.


๐Ÿ“ˆ Factors Controlling Wave Height

  1. Wind speed โ€“ stronger wind โ†’ higher waves.

  2. Wind duration โ€“ how long wind blows.

  3. 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.


โšก 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.


๐Ÿ’€ Episodic (Rogue) Waves

  • Caused by intersecting waves, changing depths, and currents.

  • Extremely large and unpredictable โ€” can sink ships.

  • Amplitude can reach 5โ€“15 m or more.


๐Ÿ“ Wave Steepness

S=HLS = \frac{H}{L}S=LHโ€‹

  • Maximum stable steepness โ‰ˆ 1/7 (crest angle โ‰ˆ 120ยฐ).

  • When exceeded โ†’ wave breaks.


๐Ÿ– 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.


โ†ฉ 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.


๐Ÿ’ฅ 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…โžก 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.


๐ŸŒŠ Tsunamis (Seismic Sea Waves)

  • โ€œTsunamiโ€ = Japanese for harbor wave.

  • Not caused by tides.

  • Generating forces: earthquakes, submarine volcanoes, landslides, or asteroid impacts.

Characteristics:

  • Very long wavelengths (100โ€“200 km)

  • Long periods (20โ€“30 min)

  • Low wave heights (1โ€“2 m) in deep ocean

  • Behave as shallow-water waves

  • Travel at ~600 km/hr (372 mph)


โšซ Internal Waves

  • Occur at boundaries between water layers of different densities (e.g., thermocline).

  • Move slower than surface waves.


๐Ÿชž 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.


โœ… 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