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Measuring
and Recording
Earthquakes
are measured in two different ways, (1) magnitude
of an earthquake is a measure of the absolute amount of energy released
at the focus of an earthquake and (2) the intensity
of an earthquake is the effect felt at the surface of the earth.
Magnitude
Different mathematical formulae are used to calculate earthquake magnitude
depending on the extent of the quake, the depth of its focus, and
the distance of the epicentre from recording seismographs. The different
magnitude ratings that result are critical to understanding earth
processes at an advanced scientific level, but are of little value
to the general public because no magnitude rating indicates the destructiveness
of an earthquake.
For example, the 1993 California and the 1995 Kobe earthquakes had
similar magnitudes, but in California 53 people died whereas the Kobe
earthquake caused 5300 deaths, mainly because of differences in local
soil conditions, regional geology and type of house construction.
Furthermore, Japan has had 26 earthquakes this century of greater
magnitude than Kobe but only one of them caused more deaths.
Figure 11.
The
concept of an earthquake magnitude was first proposed by Charles Richter
in 1935 (Rahn 1986). The Richter magnitude scale was designed to measure
the total amount of energy released by each shock wave produced by
shallow earthquakes up to M 6.5 in California and "Richter
magnitude" is defined as the log10 of the amplitude
in microns of the largest displacement on a seismogram located
100 km from the earthquake epicentre (Rahn 1986). In reality such
a precise location is unlikely (short of installing hundreds of seismograms
throughout the countryside), and stations closer to the epicentre
are used; Richter magnitude being calculated using a nomogram (Fig.
11).
Media reports that persist with "Richter" scales are of
little value to people wanting to know how bad the damage is, and
how people are coping. Seismologists seldom calculate Richter magnitudes
and only use the Richter scale when compelled to by news media.
Seismologists prefer to use the local magnitude, ML
scale when advising reporters. ML is only accurate
for relatively close, small and shallow earthquakes, with foci <
15 km deep, and epicentres no more than 600 km distant. The ML
is the logarithm of the maximum trace amplitude, in microns. The maximum
trace amplitude of an earthquake of magnitude 4.0 at a distance of
100 km from a seismograph is 10 mm. Every time the amplitude increases
by a factor of 10, the ML increases by 1. So, the
maximum trace amplitude of a magnitude 5.0 earthquake 100 km from
the seismograph is 10x larger.
A body-wave magnitude, Mb is used
to assess the energy given out from deep, but smallish, earthquakes,
by measuring the largest amplitude of the body wave pulse. It is the
most accurate way to determine earthquake magnitudes < 6.0 with
foci > 60 km deep.
A surface-wave magnitude, Ms measures the
largest amplitude of surface waves propagated by large and shallow
earthquakes, such as those originating in ocean trenches which are
felt worldwide. It is not suitable for deep earthquakes which do not
generate surface waves (Rahn 1986; Aitken and Lowry 1995).
A major short-coming to accuracy in assessing the magnitude of an
earthquake is the size of the rupture through a rock mass. Earthquakes
begin at a point of weakness, but then this break propagates in a
two-dimensional manner as a fault plane. Large earthquakes will rupture
right up to the surface where displaced ground levels follow the direction
of the rupture.
This offset is known as the fault trace and where the length of this
rupture is much greater than the wavelengths used in calculating a
magnitude, the scale is "saturated"(Aitken and Lowry 1995).
As a result, magnitude is not a very useful measure for earthquakes
with surface ruptures over hundreds of kilometres in length.
A more physically based magnitude called the moment magnitude,
Mw, has been used over the past 20 years. Mw
is a function of the area of a fault's rupture surface, the strength
of a rock, and the amount of offset. It is preferred by seismologists
because, although it takes longer to calculate, it can be used for
earthquakes of all sizes and depths. In practice, however, Richter
magnitudes are used for public consumption because of their perceived
meaning.
Intensity
The intensity of an earthquake is based on a subjective measure of
the felt and observed effects of ground shaking on people, infrastructure
(e.g. buildings and bridges) and natural features (e.g. trees and
ground surface). The most used measure, the Modified Mercalli Scale
(Table 1) comprises an
escalating 12 -point scale of increasing levels of earthquake effect
from (I) virtually imperceptible effect to (XII) catastrophic effect.
Figure 12.
Following
an earthquake, Mercalli intensity values can be plotted on a map and
concentric lines connecting values of equivalent intensity (isoseismal
lines) drawn. This visually presents the extent and distribution
of the effects of an earthquake. The resulting isoseismal maps
often have elongate patterns, oriented along the strike of the
fault because the fault may have been displaced long a substantial
portion of its total length (Rahn 1986). Isoseismal maps can also
be plotted for historic earthquakes (Fig. 12) , based on eye-witness
accounts and reports, from which estimates of magnitudes and epicentres
for these events can be made (Aitken and Lowry 1995). For shallow
focus earthquakes there is a rough relationship between magnitude
and the maximum intensity (Imax), based on isoseismal plots
as follows (Equation 1):
Imax = 2 Mb - 4.6
Table 1. The Mercalli Scale of earthquake intensity (after
Bryant 1991).
Scale
|
Intensity
|
Description
of effect.
|
Maximum
acceleration
( cm s-2)
|
Corresponding
Richter scale
|
I
|
Instrumental
|
detected
only on seismograph.
|
< 1
|
|
II
|
Feeble
|
some people
feel it.
|
< 2.5
|
|
III
|
Slight
|
felt by
people resting; like a large truck rumbling by.
|
< 5
|
<
4.2
|
IV
|
Moderate
|
felt by
people walking; loose objects rattle on shelves.
|
< 10
|
|
V
|
Slightly
strong
|
sleepers
awake; church bells ring.
|
< 25
|
<
4.8
|
VI
|
Strong
|
trees
sway; suspended objects swing; objects fall off shelves.
|
< 50
|
<
5.4
|
VII
|
Very strong
|
mild alarm;
walls crack; plaster falls.
|
< 100
|
<
6.1
|
VIII
|
Destructive
|
moving
cars uncontrollable; chimneys fall and masonry fractures;
poorly constructed buildings damaged.
|
< 250
|
|
IX
|
Ruinous
|
some houses
collapse; ground cracks; pipes break open.
|
< 500
|
<
6.9
|
X
|
Disastrous
|
ground
cracks profusely; many buildings destroyed; liquefaction and
landslides widespread.
|
< 750
|
<
7.3
|
XI
|
Very disastrous
|
most buildings
and bridges collapse; roads, railways, pipes and cables destroyed;
general triggering of other hazards.
|
< 980
|
<
8.1
|
XII
|
Catastrophic
|
total
destruction; trees driven from ground; ground rises and falls
in waves.
|
> 980
|
>
8.1
|
In New Zealand felt intensities are recorded by GNS Science via the Geonet website. To view felt intensities for a number of famous New Zealand earthquakes go to geonet.org.nz.
Acceleration
Figure 13.
One
of the most important properties of earthquakes in relation to stability
of structures is the amount of ground acceleration. During earthquakes
seismograms record horizontal (east-west, north-south) and vertical
displacement of the earth relative to a heavy mass held in
suspension (Figs. 6 & 13). The first derivative of displacement
through time is velocity (e.g. m s-1). The second
derivative is acceleration (e.g. m s-2) (Rahn
1986). Earthquake acceleration is particularly important in infrastructure
design and construction. Buildings must not only be able to withstand
the vertical pull of gravity, but also should be able to withstand
the horizontal movements associated with earthquake ground motion.
Plots of velocity and acceleration can be obtained from conventional
seismograms (Fig. 13), and can also be measured directly
from accelographs, which are usually calibrated to trigger recordings
at > 1 % of the acceleration due to gravity (e.g. 0.98 cm s-2),
generally caused by magnitude > 4 earthquakes (intensity >
IV-V) (refer to Table 1.).
Earthquake magnitude is related to acceleration in a general sense;
bigger earthquakes tend to produce bigger accelerations. Furthermore,
acceleration is related to proximity to the earthquake epicentre
(Rahn 1986).
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