waves and tides

Tides and Waves Terminology

  • Frequency (v): The number of peaks/troughs passing a fixed point in one second.

  • Speed : Calculated using the formula:
    extv=extfimesextλext{v} = ext{f} imes ext{λ}

  • Wave Height (H): Overall vertical change in height between a crest and a trough.

  • Amplitude (A): Half of the wave height.

  • Wavelength (λ): The distance between two successive peaks or troughs.

  • Wave Period (T): The time period between two successive peaks or troughs.

Wave Formation

  • Definition: Waves are formed when energy is transferred to a body of water, typically by wind or the gravitational pull of the moon, as well as opposing centrifugal forces.

  • Restoring Forces:

    • Gravity: Restores waves when they have a height greater than 1.7 cm.

    • Surface Tension: Restores waves when their height is less than 1.7 cm.

Surface Waves

  • Generation: Surface waves are generated when wind moves over water, creating frictional stress.

  • Frictional Stress: This stress transfers momentum and energy, setting water molecules in motion.

    • Proportional to the square of the wind's speed.

  • Energy Transfer: Most of the energy transferred forms waves; however, some energy contributes to creating surface currents.

  • Movement of Water Molecules: Waves do not significantly move water molecules horizontally.

Deep and Shallow Water Waves

  • Definitions:

    • Deep Water Waves: Form over water depths greater than half the wavelength (d > rac{λ}{2}).

    • Shallow Water Waves: Form over water depths less than half the wavelength (d < rac{λ}{2}).

Characteristics of Waves in Different Depths

Deep Water Waves: Swell Waves

  • Characteristics: Waves with longer wavelengths travel faster, carry more energy, and reach the shoreline first. Known as swell.

  • Formation: Created by rotating circular storm centers, resulting in waves of varying heights, lengths, and periods.

  • Dispersion: Shorter, slower waves can be overtaken by faster, longer waves.

  • Wave Trains: Groups of waves of similar speeds and periods that form during this process.

Interference of Waves

  • Types of Interference:

    • Constructive Interference: Occurs when the crests and troughs are in phase, leading to increased amplitude.

    • Destructive Interference: Occurs when the crests and troughs are out of phase, resulting in cancellation.

Shallow Water Waves

Properties of Shallow Water Waves

  • As waves transition from deep to shallow water, several changes occur:

    • Speed: Decreases.

    • Height: Increases.

    • Wave Steepness: Increases.

Refraction of Waves

  • Shallow water waves are refracted as they enter shallower depths, changing their direction:

    • Waves typically approach the shoreline parallel.

    • At headlands, waves are refracted toward the land.

    • Energy is dissipated as waves diverge in bays, with little energy returning back to sea.

    • Additional energy loss occurs through sound and movement of sand particles.

Types of Shallow Water Waves

  • Type of Breakers Governed by Beach Gradient:

    • Spilling Breakers: Occur on flat beach profiles.

    • Plunging Breakers: Occur on intermediate beach profiles.

    • Surging Breakers: Occur on steep beach profiles.

Effects of Waves on Sediment

Sediment Type Influence

  • Wave type and beach gradient affect sediment types:

    • Spilling Breakers (Dissipative): Result in fine sands.

    • Plunging Breakers: Result in coarse sands.

    • Surging Breakers (Reflective): Result in pebbles to cobbles.

Impact on Fauna

  • The type of wave and beach gradient also affects the organisms present:

    • Spilling Breakers (Dissipative): Associated with high macrofaunal biodiversity.

    • Plunging Breakers: Also associated with high macrofaunal biodiversity.

    • Surging Breakers (Reflective): Typically have lower biodiversity, mostly meiofauna.

Tsunamis

  • Causes: Tsunamis are caused by offshore earthquakes displacing the seabed and generating giant waves.

    • Example - Ache, Indonesia (26th Dec. 2004):

    • Earthquake magnitude: 9.1 - 9.3 Mw.

    • 3rd most powerful earthquake since records began in 1900.

    • Energy released: 1.1imes1017extJ1.1 imes 10^{17} ext{ J}.

    • Fatalities: 229,866.

    • Maximum wave height: 51 m.

    • Example - Tōhoku, Japan (11th March 2011):

    • Earthquake magnitude: 9.0 - 9.1 Mw.

    • 4th most powerful earthquake since records began in 1900.

    • Energy released: 1.9imes1017extJ1.9 imes 10^{17} ext{ J} (compared to Nagasaki at 8.8imes1013extJ8.8 imes 10^{13} ext{ J}).

    • Fatalities: 19,759 (2,553 missing).

    • Maximum wave height: 40.5 m.

    • Wave speed: 435 mph.

Tides

  • Definition: Tides are the longest waves and can be classified as shallow water waves.

  • Types of Tides:

    • Diurnal Tides: One high and one low tide per day.

    • Semidiurnal Tides: Two high and two low tides per day.

    • Mixed Tides: Combination of diurnal and semidiurnal characteristics.

  • Causes: Primarily formed due to the Moon's influence, with two forces at work:

    • Centrifugal Force of the Earth.

    • Gravitational Pull of the Moon.

Tide-Producing Force

  • The tide-producing force is the combination of Earth's centrifugal force and Moon's gravitational pull, which moves water around the Earth.

Earth and Moon Alignment

  • Orbital Aspects:

    • The Moon orbits the Earth in approximately 27.3 days.

    • The Earth spins on its axis in 24 hours.

    • Tides advance by 50 minutes each day, resulting in a lunar day of 24 hours and 50 minutes.

Tidal Bulges

  • The tidal bulge does not exactly align with the Moon because of friction with the ocean floor, leading to misalignment.

  • This occurs as the Moon does not orbit the Earth in the equatorial plane.

Solar Influence on Tides

  • Solar Tide:

    • The Sun exerts only 0.46 of the gravitational force compared to the Moon and has a semidiurnal period of 24 hours.

  • Types of Tidal Influences:

    • Spring Tides: Occur when the Sun and Moon are in alignment, leading to the highest tidal ranges (high high water and low low water).

    • Neap Tides: Occur when the Sun and Moon are at 90 degrees to each other, resulting in the lowest tidal ranges (low high water and high low water).

Coriolis Effect

  • Definition: The Coriolis effect is the apparent deflection of air (or water) from its path due to Earth's rotation, perceived by an observer on Earth.

Final Tidal Mechanics

Amphidromic System

  • Tidal waves rotate around a fixed point known as an amphidromic point.

  • Rotation Directions:

    • Northern Hemisphere: Anticlockwise direction.

    • Southern Hemisphere: Clockwise direction.

Tidal Bore

  • Definition: A tidal bore is a rapid incoming tidal wave that travels up a narrow inlet.

  • Conditions: Occurs due to the speed of the incoming tide and the constriction of the inlet, leading to a rapid increase in water level.

  • Occurrence: Only arises on specific spring tides and during flood tides.

Exposure and Community Structure

Definition of Exposure

  • Exposure refers to the amount of energy a shoreline receives from wave action, not the duration a shore is emerged.

  • This exposure is crucial in determining community structures within the intertidal zone.

  • Influenced by the shore’s location, prevailing wind direction, and fetch.

Ballantine Scale

  • Developed by Ballantine (1961) at Dale Fort, Pembrokeshire, as a measure of exposure on rocky shores.

Zonation and Exposure

Zonation Dynamics

  • Definition: Zonation is the separation of species by their ecological niches, more pronounced on rocky shores than sandy shores.

  • Upper Limit: Generally controlled by abiotic factors (e.g., desiccation and temperature).

  • Lower Limit: Governed by biotic factors, such as competition among organisms.

Influence of Topography

  • Exposure can also affect zonation patterns due to the interaction with topographical features.

Rocky Shore Topography

  • Features: Gullies, rock pools, and elevation changes complicate species distribution:

    • Different species inhabit the tops of rocks compared to those in water or rock pools.

Exposure on Sedimentary Shores

Sediment Sorting by Wave Energy

  • Wave energy shapes particle distribution, affecting the morphodynamic state of the beach:

    • Reflective Beaches: Steep profiles with coarse sediments (pebbles/cobbles) that experience high-energy waves.

    • Dissipative Beaches: Shallow profiles with finer sediments (sand) that experience lower-energy waves.