Tides

Oceanography Fundamentals

Course 1 · Chapter 5 · Tides: Moon, Sun and Shape of the Sea

Visit the Bay of Fundy in eastern Canada at low tide and you can walk on the sea floor among boats resting on mud; six hours later the same place may be under more than ten metres of water (check). Visit the Mediterranean and you may not notice the tide at all. In 1687 Isaac Newton explained the basic cause in his Principia: the pull of the Moon (and, to a lesser extent, the Sun). But it took another two centuries to understand why the tides differ so much from place to place, and the full story still depends on computer models. This chapter explains the cause, the rhythm and the local variation, with plenty of examples from the British coast.

The Moon and the Bulges

Gravity weakens with distance. The Moon pulls most strongly on the side of Earth nearest to it, less on the centre, and least on the far side. The difference in pull across Earth is called the tide-raising force. It stretches the ocean into two bulges: one facing the Moon, and one on the opposite side (check the usual explanation below).

Near side

The water is pulled toward the Moon more than the Earth's centre is, so it piles up beneath the Moon.

Far side

The water is pulled less than the Earth's centre, so it is effectively left behind, making a second bulge.

Result

Earth turns under two bulges, so most places have two high tides and two low tides each day.

A common misunderstanding Many explanations say the far-side bulge is caused by "centrifugal force". The more careful explanation is the one above: the difference in the Moon's gravity across the Earth, measured relative to the Earth's centre, gives two bulges. Check how any source phrases it before accepting it.

Why 12 Hours 25 Minutes?

While Earth turns once in 24 hours, the Moon moves on in its orbit, so a place has to turn about 50 minutes further each day to face the Moon again. The lunar day is therefore about 24 hours 50 minutes, and the gap between successive high tides is half of that: about 12 hours 25 minutes. So tide times slide later by about 50 minutes each day, and a high tide at breakfast today becomes a high tide at about ten to seven the next morning, and so on.

Spring and Neap Tides

The Sun also raises tides, though its pull is about 46 per cent of the Moon's, since it is so much farther away (check). The two combine.

Moon phaseSun, Earth and MoonTide
New MoonIn a line, Moon between Earth and SunSpring tide: highest highs and lowest lows
First quarterAt right anglesNeap tide: smallest range
Full MoonIn a line, Earth between Sun and MoonSpring tide
Last quarterAt right anglesNeap tide

Springs have nothing to do with the season: the name comes from the idea of the water "springing up". The cycle repeats about every 14.8 days. Tides are larger still when a new or full Moon coincides with the Moon's closest approach to Earth, sometimes called a perigean spring tide, and combined with a storm surge these cause most coastal flooding (check).

Why the Range Varies So Much

Newton's picture predicts a rise of well under a metre in the open ocean. Real tides in some places are many times higher, because the ocean basins are not smooth: they have shapes of their own.

PlaceApproximate maximum rangeWhy
Bay of Fundy, CanadaAbout 16 mThe bay's length matches the tidal rhythm, so it resonates, like a child pushed on a swing at the right moment (check)
Severn Estuary, UKAbout 14 mA funnel-shaped estuary that squeezes the incoming tide
Firth of Forth at LeithAbout 5 m on spring tidesThe North Sea tide wave enters from the north and is amplified a little in the funnel of the firth (check)
MediterraneanOften under 1 mAlmost enclosed; little tidal water can enter from the Atlantic
Open mid-oceanUnder 1 mNo coast to pile up against
Tides are waves, not bulges The tide in a real ocean is better described as a very long wave, with a wavelength of thousands of kilometres, that is pushed along by the Moon and Sun and reflected by the coasts. Because Earth is rotating, the Coriolis effect (Chapter 6) bends the wave, and it circulates around the basin instead of simply sloshing from side to side. In the middle of each circulation pattern there is a point where the tidal range is nearly zero, an amphidromic point. The North Sea has a few of them (check the number), and that is why the tidal range on the east coast of England and Scotland is much greater than at the centre of the North Sea.

Types of Tide

  • Semi-diurnal. Two highs and two lows of similar size each day. This is the usual pattern around the British Isles and the North Atlantic.
  • Diurnal. One high and one low a day, as in parts of the Gulf of Mexico (check).
  • Mixed. Two highs and lows of clearly different heights, as on much of the US Pacific coast.

The pattern comes from the shape of the basin and the Moon's changing position north or south of the equator.

Tidal Currents and Uses

As the water rises and falls, it also flows. These tidal currents can be fast in narrow channels: the Corryvreckan whirlpool, between two Scottish islands, is one of the best known (check). Tidal streams are predictable, which is attractive for energy, and the Pentland Firth and the Orkney waters host turbines and test sites. A tidal estuary can also produce a bore, a wave that runs up the river against the flow, such as on the Severn (check).

Reading a tide table A tide table gives the time and height of each high and low water for a port. Heights are measured above chart datum, the lowest level that the tide is expected to reach, so the height of water over a rock on a chart is normally a safe minimum. The tables are computed from a sum of many known cycles (check), not from a theory of the day's weather, but a strong onshore wind or low pressure can make the real sea level differ by a metre or more.

Exercises

Exercise 1

High water at a harbour is at 06:00 on Monday. Using a 12 h 25 min interval, estimate the times of the next three high waters, and the time of the morning high water on Tuesday.

Exercise 2

For each of these, say whether you would expect spring or neap tides: (a) the night of the full Moon; (b) the day of the first-quarter Moon; (c) a new Moon. Explain why in a sentence for each.

Exercise 3

Why is the tidal range in the Bay of Fundy so much larger than at a small island in the mid-Atlantic? Give at least two reasons, using the terms resonance and funnel.

Quick Reference

  • Cause: the difference in the Moon's (and Sun's) gravity across the Earth gives two bulges
  • Timing: lunar day 24 h 50 min; successive highs about 12 h 25 min apart
  • Springs: new and full Moon, Sun and Moon aligned; largest range
  • Neaps: quarter Moons, forces at right angles; smallest range
  • Local range: controlled by basin shape: resonance, funnelling, enclosure
  • Amphidromic point: where the tide wave circulates around a point of almost no range
  • Types: semi-diurnal, diurnal, mixed
  • Check: Fundy range, Sun/Moon ratio, number of North Sea points
Coming next Chapter 6 looks at the ocean's great rivers: the wind-driven surface currents and gyres, the Gulf Stream that keeps Scotland milder than Labrador, and the upwelling that feeds the world's richest fisheries.