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Mechanics of Fluids

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480 Flow with a free surface<br />

10.14 TSUNAMIS<br />

Cyclical or wave motion in the seas is established in three broadly different<br />

ways. Gravitational forces have a fundamental influence on all three, but<br />

they are distinguished by the fact that certain features <strong>of</strong> the motion differ<br />

by orders <strong>of</strong> magnitude. First, there are the tides. Tidal motion is the regular<br />

raising and lowering <strong>of</strong> sea level, with a periodic time <strong>of</strong> approximately 12 h<br />

to 12.5 h, caused principally by the gravitational pull <strong>of</strong> the moon, with<br />

the sun and planets also making smaller contributions. Second, there are<br />

surface waves. These are mainly generated by the movement <strong>of</strong> the winds<br />

over the seas, although the motion <strong>of</strong> ships and other surface disturbances<br />

also contribute to this form <strong>of</strong> wave motion. Aspects <strong>of</strong> the motion <strong>of</strong> surface<br />

waves were covered extensively in Section 10.13. Third, there are tsunamis.<br />

The tides and wind-generated waves are with us all the time, but tsunamis<br />

only occur infrequently. Tsunamis will be discussed here, where, in order<br />

to focus attention on their main characteristics, we shall neglect tidal action<br />

and wind-generated wave motion.<br />

The term tsunami is a Japanese word which means harbour wave. The<br />

term tidal wave was formerly used to describe the phenomenon, but this<br />

expression has been abandoned because it incorrectly attributes the waves<br />

to the tides. A tsunami is a natural phenomenon, consisting <strong>of</strong> a series <strong>of</strong><br />

waves generated at sea as a result <strong>of</strong> a triggering event. Once these waves<br />

have been set in motion they are very persistent, eventually arriving at a<br />

coastline, and it is there that the full effect <strong>of</strong> a tsunami is manifested. No<br />

two tsunamis are the same. A small tsunami, resulting for example from<br />

an earth tremor, is scarcely perceptible and is only detectable with sensitive<br />

measuring equipment. However, at the opposite extreme, a tsunami can<br />

cause an enormous amount <strong>of</strong> damage to property, with associated human<br />

casualties. This was vividly demonstrated by the South East Asian tsunami<br />

<strong>of</strong> 26 December 2004, resulting from an earthquake <strong>of</strong> magnitude 9.0 on<br />

the Richter scale, when some 300 000 lives were lost, mainly in Indonesia,<br />

Sri Lanka and India.<br />

There are four main ways in which tsunamis are initiated. Earthquakes are<br />

the most frequent cause. Then, in descending order <strong>of</strong> occurrence, tsunamis<br />

can also be generated by a major landslide, the eruption <strong>of</strong> a volcano or the<br />

descent into the sea <strong>of</strong> an object, such as a meteorite or asteroid, from space.<br />

Each tsunami is unique, depending in part on the details <strong>of</strong> the triggering<br />

event, the distance from the origin to the neighbouring coastlines, and the<br />

morphology <strong>of</strong> the coastline. We shall examine the broad characteristics <strong>of</strong><br />

a tsunami, in turn considering events at the location where it originates, the<br />

movement <strong>of</strong> the waves over the deep ocean, and finally the arrival <strong>of</strong> the<br />

waves in shallow water at the coastline.<br />

We start our discussion <strong>of</strong> the origins <strong>of</strong> a tsunami by considering an<br />

earthquake, which results from the relative movement <strong>of</strong> two tectonic plates<br />

along a fault line, one plate passing beneath the other in a process known<br />

as subduction. This movement causes the sudden release <strong>of</strong> an enormous<br />

amount <strong>of</strong> strain energy, resulting in a substantial deformation <strong>of</strong> the sea bed,<br />

some parts elevating, others subsiding. As a consequence, a large volume <strong>of</strong>

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