Characteristics
of Tsunami Waves
Wave propagation
Tsunami waves radiate outwards at right angles to the long axis
of an uplifted ellipse, or the orientation of the fault system and
trench. They do not radiate circularly from a point source. Hence,
tsunami wave energy directed perpendicularly from the Aleutian Trench
has resulted in damage to Hawaii, and tsunamis originating off the
Chilean coast have affected both Hawaii and Japan.
Wave speed and height
The velocity and height of tsunami waves is controlled by the depth
of water through which the tsunami is moving. The velocity of tsunami
waves is calculated by:
v = 3.6 (g h)
where:  |
v = velocity in m/s
g = acceleration due to gravity (9.81 m/s2), acting on the water
column uplifted by the tsunamigenic earthquake.
h = ocean depth |
The velocity of tsunami waves is greatest in the open ocean where
water depths are greatest. As the waves approach the continental
shelf, where water shallows, some of the energy of the advancing
tsunami is lost due to friction against the shelf. This causes the
waves to slow and pile up to gain in height. In shallow waters,
wave speed is often reduced to < 65 km/hr (compared to 1000 km/hr
in the deep ocean), and wave height may increase to 10 m or more.
Visit Savage
Earth to view tsunami animation. |
The depth of water along a coastline is determined by the slope
of the continental shelf. In areas where there is a broad and shallow
continental shelf (such as that surrounding New Zealand), much of
the energy of a tsunami is dissipated by friction with the shelf
before the waves reach shore. Hence, such coastlines are not normally
affected by tsunamis. In contrast, Japan and Hawaii are not protected
by extensive continental shelves, and are frequently affected by
large, damaging tsunamis.
The final height of tsunami waves at a shoreline is dictated by
a combination of factors, including coastal geography (shape of
the shoreline and water depth), wave refraction, tides and wind.
Coastal geography
The shape of a bay or harbour and its water depth determine the
degree of interaction between approaching tsunami waves and the
sea floor. Narrow, shallow bays maximise the interaction between
tsunami waves and the sea floor before the waves arrive at the shore.
This results in a rapid decrease in wave energy (because of frictional
losses), a consequent shortening of wavelength, and an often dramatic
increase in wave height. Deeper and broader bays do not induce such
high cresting tsunamis at the shore line.
Wave refraction and reflection
Wave refraction is the process by which the direction of waves
approaching a shore line is altered by interaction with the sea
floor. As a wave moves from deep to shallow water, the direction
of the waves becomes increasingly influenced by the submarine contour,
until eventually the lines of the wave crests parallel the contours.
Most refraction causes the waves to bend toward the shore.
In areas of complex coastlines with many islands (e.g. in Indonesia)
tsunami waves can reflect off one coast and onto another shoreline,
affecting a much greater number of people. Reflection and refraction
are responsible for most of the energy loss from a tsunami wave
train, and help to determine the final wave height at the shoreline.
Seiche
Large earthquakes and landslides may cause oscillations of waters
in relatively confined harbours, lakes and reservoirs. Such oscillations
are termed seiches, or standing waves. Seiches were common in Alaskan
lakes after the 1964 Alaskan earthquake, which generated a particularly
destructive tsunami.
In situations where tsunamis have been generated (most commonly
by tsunamigenic earthquakes), the final height of the tsunami waves
at the shoreline may be affected by the seiche. If the motion of
both wave types is synchronised, then the effect to the seiche is
to increase tsunami wave height.
Tides
As with seiches, tides can influence the height of tsunami waves,
and tsunami wave runup. The height of a tsunami will be augmented
if it coincides with high tide.
Wind
Strong winds produced during cyclonic storms cause water to pile
up, especially in coastal embayments, raising sea level. The effect
of a storm surge (i.e. the rise or pile up of water during a storm)
is to add to and increase the wave height of the approaching tsunami
waves.
Shoreline drawdown
Observers of tsunamis often record a dramatic withdrawal of the
sea shoreline (drawdown), immediately before the tsunami wave arrives.
The withdrawal of water exposes large areas of shore that would
not normally be exposed, even during low tide, and can cause severe
erosion of the shore. The drawdown phenomenon is due to the trough
of a tsunami wave arriving at the shore, displacing the sea surface
below its mean level.
Drawdown events have also been known to put people at greater risk
to following tsunamis. On several occasions, people observing such
a low tide on the west coast of the U.S. have rushed out to collect
shellfish not normally exposed. When the tsunami arrived they were
lucky to escape with their lives.
The bore phenomenon
Most tsunami waves surge onto the shore, giving the impression
of a rapidly rising and falling tide. When a tsunami wave arrives
at a distant coastline it causes a slow rise of water level. However,
some tsunami waves develop abrupt, steep fronts and arrive at the
shore as a vertical wall of water (appearing similar to the front
of a wave just before it breaks in the surf). A wave developing
these characteristics is called a bore. Eye-witnesses of tsunami
waves at Hawaii describe that it is often the second or third waves
in a tsunami wave train that develop bores. The third wave of the
tsunami train that struck the coast of Hawaii in 1960 reportedly
developed a bore of around 11 m in height.
Wave runup
Wave runup is defined as the height above ambient sea level (i.e.
at the time when the tsunami strikes) to which the waves encroach
inland of the shoreline (Fig. 3).
Figure 3.
Runup
heights are difficult to predict and vary along a shoreline. Mathematical
models have been used to calculate potential runup along shorelines.
These use factors such as the magnitude and velocity of tsunami
waves, and the effects of coastal geometry and bathymetry on wave
height and direction of travel.
Tsunamis versus tidal waves (or storm surges)
Tsunamis should not be confused with tidal waves or storm surges.
While tsunamis are principally generated by submarine earthquakes,
tidal waves (storm surges) are initiated by meteorological storms
(cyclones).
Figure 4.
As
a cyclone forms, winds increase and atmospheric pressure drops.
The drop in atmospheric pressure causes the sea level to rise and
consequently wind-driven waves become superimposed on the heightened
water level. These waves, produced by the piling up of water, are
then able to surge over the shore at heights not normally reached
(Fig. 4).
The only significant relationship between tsunamis and tidal waves
is that their heights may be additive or subtractive. The cumulative
effect of the two types of high water will accentuate damage.
Visit this website and observe the tsunami animations for:
- The 10 June 1996 Andreanov tsunami, generated in the Aleutian Islands (note Hawaii in the animation, and the differing speed of the tsunami north & south of the Aleutians because of the contrasting depths of water), and
- The Aonae area of Japan during the 12 July 1993 Hokkaido-Nansei-Oki tsunami.
Find out what triggered this tsunami.
Website address: http://nctr.pmel.noaa.gov/research.html
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