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         Figure 14.11  Map showing tectonic plates and their boundaries. The arrows indicate the direction of their  movements
         (Courtesy: World Book Encyclopaedia)
         Charles  Richter  suggested  that  the  magnitude  of  an   earthquake having M = 6.5 was felt up to a radius of 400
         earthquake can be expressed by                km  and  caused  destruction  up  to  60  km  or  so*. The
                                                       energy thus released is considerable and can be gauged
        M  = log A                                     by its magnitude as shown in Table 14.9.
         where                                           To obtain an idea of the energy that may be released and
         M  = magnitude of the earthquake              the destruction that it can cause, one may compare it with
         A  = maximum  amplitude,  as  recorded  by  the Wood   the energy of  8 x  lo2" ergs released during the atomic
             Anderson seismograph in microns at a distance of   explosion at Hiroshima, Japan, in 1945. This is equivalent
             100 km from the epicentre.                to an earthquake of M  = 6.33. The extent of destruction
             Since the  distance  of  the  instrument  from  the   may be equivalent to an explosion of 10 such bombs if M
             epicentre  will  usually  not  be  exactly  100 km,  a   is 7.0 and many times more at yet higher magnitudes.
             distance correction  must be applied to obtain the   6
             magnitude of the earthquake, defined as,
             versus log A, (which are also sometimes referred  t,
             M  = log A  - log A,.  Distance  correction  curves
             between  cpiccntral  distance  of  the  seismograph
             to as attenuation curves) are used for this purpose.   8
                                                        ._
             One standard attenuation curve is shown in Figure   2
             14.12(a).
                                                        g4
         This definition of the magnitude of earthquake is used   .E
                                                        a
         for  the  records  of  Wood  Anderson  type  torsion   T
                                                        01
         seismograph. This has a dampening equal to 80% of the   8
         critical natural, period of 0.8 second and a magnification   L3
                                                        C
         of 2800.                                       .z
           The value of M is determined from seismograph records   0
                                                        i?
         at different  locations  and a  mean  value is  obtained to   82
         define the magnitude of the earthquake. The minimum   0
                                                        2
         value  of  M which  may  cause  appreciable  damage  is   E
         considered to be about 5. The extent of damage caused   .Y
         by a higher M  will depend upon the depth of focus, the   Q1
         distance and the soil stratification. Generally, an earth-
         quake can have a focus varying from 5 to  150 km from
         the earth's surface. It is generally seen that an earthquake   0   Distance in km -
         of M  = 5 may be felt up to a radius of  150 km and can   1   10           100         1000
         cause substantial damage within a radius of up to 8 km
         while an earthquake of M  = 7 may be felt up to 400 km   Note  Amplitude recorded by Wood Anderson
         and can cause damage up to a radius of 80 km. An M  =   Seismograph 'A is in mm.
         8 may be felt up to 800 km and can cause damage up to   Figure 14.12(a)  Distance correction curve for determining the
         a radius of  250 km. At Koyna (India), for instance, an   magnitude of an earthquake
         *The recent earthquake (2001) with its epicentre at Bhuj (India) was felt upto > 1000 km and caused destruction upto > 400 km. It was measured
         as M = 8.1 and lasted for about 45-50  seconds.
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