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Why Do Waves Get Bigger As They Get Closer to Shore?

Published in Wave Dynamics 3 mins read

Waves increase in size as they approach the shore primarily because they interact with the ocean bottom, causing a fundamental change in their form while conserving their energy.

The Transformation of Ocean Waves Near Shore

As a wave travels across the open ocean, it holds a certain amount of energy. However, this changes dramatically when the water depth decreases near the coastline.

The Role of the Seafloor

When a wave reaches water shallow enough that its base "touches" the bottom, a crucial interaction occurs. Friction between the moving water and the seafloor begins to act as a brake.

  • Friction: Contact with the ocean floor creates resistance.
  • Slowing Down: This friction causes the wave to slow down significantly compared to its speed in deeper water.

Compressing the Energy

As the leading edge of a wave slows down due to friction, the waves traveling behind it, which are still moving at a relatively faster speed (or were before they too felt the bottom), begin to catch up. This convergence has a direct impact on the wave's structure.

The provided reference explains this process: "When the wave touches the bottom, friction causes the wave to slow down. As one wave slows down, the one behind it catches up to it, thus decreasing the wavelength."

Simultaneously, the total energy carried by the wave remains largely the same. Think of it like compressing a spring – the energy is still there, just concentrated differently. Because the wave is slowing down and its length (wavelength) is getting shorter, this conserved energy must be accommodated elsewhere.

The reference clearly states the result: "However, the wave still contains the same amount of energy, so while the wavelength decreases, the wave height increases."

This transfer of energy from horizontal extent (wavelength) to vertical extent (height) is why waves become taller and more dramatic as they near the shore, eventually leading to them becoming unstable and breaking.

Summary of Changes

Here's a simple breakdown of how a wave changes as it approaches the shore:

Factor In Deep Water Near Shore (Shallow Water) Reason
Speed Faster Slower Friction with seafloor
Wavelength Longer Shorter Waves behind catch up
Energy Constant Constant Energy is conserved (ignoring minor losses)
Wave Height Shorter Taller Energy compressed vertically as wavelength decreases

This process, known as shoaling, is a fundamental principle in coastal dynamics, explaining the powerful surf often experienced at the beach.

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