
Tsunami generally travel very fast across the ocean (typically 500km/h or more). In deep water the tsunami height might not be great but the height can increase dramatically when they reach the shoreline because the wave slows in shallow water and the energy becomes more concentrated. In addition to the inherent increase in the height of the wave from this shoaling effect, the momentum of the wave might cause it to reach a considerable height as it travels up sloping land. It is typical for multiple waves to result from one tsunami-generating event and these could be several hours apart when they reach a distant shore.
Amplitude is approximately the maximum height
of
the
wave above sea level when in deep water - see diagram. Note that this
is
not the same as the "double amplitude" which is the vertical distance
between the crest and the trough and is often used to describe the
height of a wave).
Run-up height is the vertical height above sea level of
the
tsunami at its furthest point inland.
Run-up factor is the run-up height divided by the
deepwater
wave amplitude
The run-up factor can vary considerably, depending on local topography and the direction of travel of the wave. Hills and Goda (1998) note that earthquake-generated tsunami in Japan have an average run-up factor of 10 but sometimes reach 25. In Hawaii run-up factors of 40 have been observed for earthquake-generated tsunami. There is a particular danger to seaports from tsunami because the approach channel to the port can support a much more energetic tsunami (there is less energy dissipated or reflected as it travels over the continental shelf). On the other hand, based on recent assessments of tsunami risks for various locations, Crawford and Mader (1998) estimate the typical run-up factor is only 2 to 3.
Contrary to popular notions, the Australian coastline is vulnerable to tsunami (Nott & Bryant 1999 and Rynn & Davidson 1999). There is also evidence of substantial variations in run-up factor for tsunami along the Australian coast . Along a 40km stretch of coastline the run-up height from one (ancient) tsunami event varied by more than 40 (based on Young et al 1996). The effects are complicated by features such as estuaries, harbours, cliffs and reefs. The topography and features of the continental shelf, the shoreline, an estuary/harbour and the land are all very important is considering the damaging effects of tsunami. Some coastal areas could be vulnerable to relatively small tsunami. Until recently there appears to have very little assessment of this risk except in areas prone to earthquake-generated tsunami such as Japan and Hawaii.
The urgency for increased research on tsunami is reinforced by the devastating tsunami which struck northern New Guinea in July 1998. Scientists are still trying to understand mechanisms of that earthquake-related tsunami.
Estimates of risk based on asteroid/comet impact frequency
may
vary by a factor of ten - "Events like Tunguska occur with uncertain
frequency, possibly once every 50 years, if the interpretation of the
Spacewatch data is correct, or at most once every 300 to 500 years"
(Steel 1995). Subject to this uncertainty, the probability of an
impact at a given location can be estimated from
P = P(D) * AD
/ AE
(1)
where
P(D) is the probability of an impact by an
asteroid
of diameter D somewhere on the Earth
AD is the area of destruction
due
to the impact
AE is the total area of the
Earth's surface (including ocean).
Applying this to the Tunguska event, and assuming an average interval between Earth impacts of one century, the annual probability of a given location being within the devastation area is P(annual) = 0.01 * 2000 / 5.1E8 = 4E-8 or about 1 in 25 million. .
Steel (1995) provides the
following
formula for estimating the area of destruction, based on nuclear
weapons tests:
A = 400 (Energy)0.67
(2)
Using this formula the following table sets out the typical values for
stony asteroid up to 200m diameter (assuming velocity=20km/s, density=3
g/cc). Again the values are subject to considerable uncertainty and may
vary
by a factor of ten or more. The area of devastation for 500m and 1km
asteroids is derived from the range of values presented by Morrison & Chapman (1995).
Table 1 - Risk of direct impact for a given location
| Diameter | Kinetic Energy | Area Devastated |
|
||
| (m) | Mt TNT | sq km | Earth | "City" | Inhabited Region & Expected Death toll |
|
50
|
10
|
1900
|
100 yr
|
30 million yr
|
900 yr
1 million
|
|
100
|
75
|
7200
|
1000 yr
|
70 million yr
|
8000 yr
3 million
|
|
200
|
600
|
29 000
|
5000 yr
|
90 million yr
|
30 000 yr
14 million
|
|
500
|
10 000
|
70 000
|
40 000 yr
|
290 million yr
|
180 000 yr
30 million
|
|
1 km
|
75 000
|
200 000
|
100 000 yr
|
260 million yr
|
290 000 yr
60 million
|
|
2 km
|
1 million MT
|
-
|
1 million yr
|
-
|
1 million yr
1.5 billion
|
|
All*
|
90 yr
|
14 million yr
|
800 yr
|
||
There is uncertainty about the diameter of many asteroids when they are initially discovered. These objects are generally so small and so far away that their diameter has to be inferred from their absolute magnitude. Brightness, in turn, depends on the object's albedo (amount of light reflected from the surface). An object of magnitude 23 might have a diameter between 65m and 108m. Furthermore, with limited observations, the absolute magnitude may vary by +/-0.5 therefore the estimated diameter can range from 50m to 190m.
Iron asteroids are more likely to reach the ground intact. They comprise perhaps 5% of the smaller asteroids and are disregarded in this analysis.
At this stage there are considerable differences in asteroid/tsunami predictions between the researchers. For a review of the methods see Ward & Asphaug (1999). After presenting their predictions of risk to coastal areas these authors note that "Being about ten times less than Hills et al. (1994) and perhaps ten times greater than Crawford and Mader (1998), our predictions split the field".
The main items of contention appears to be:
|
|
|
Ward & Asphaug (1999) (their Figure 6) |
Crawford & Mader (1998) (their
Table 1)
|
|
200m
|
1m (5m from equation)
|
5m
|
negligible
|