Q) As per Gutenberg – Richter relationship for
global seismicity how many earthquakes of magnitude 2 will be occur, given that
number of earthquakes of magnitude 6 to be 100 and b value to be 1.5
(Thanks
to Chandrasekhar, ANU)
Solution:
The
Gutenberg-Richter relationship is log(N)=a-b$M_{s}$
Where
N is the Earthquake frequency or number of earthquakes occurred
$M_{s}$
is the earthquake magnitude
a
and b are constant
from
the given data of $M_{s}$ is 6, N = 100 , b= 1.5 then
log(N)=
a - b$M_{s}$
log(100)=
a-(1.5)6
2=a-9
a=
11
for $M_{s}$ = 2,
N=?
then
log(N)=a- b$M_{s}$
log(N)
= 11- (1.5)(2)
log(N)=11-3
log(N)=8
N=$10^{8}$
means $10^{8}$ earthquakes of magnitude 2
will be occur.
Reference : Fundamental of Geophysics, William Lowrie.
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