Question

#1

a. Calculate the amount by which the seismic energy released by an earthquake increases when the surface-wave magnitude (Ms) increases by one unit. b. Repeat the calculation for an increase of one unit in the body-wave magnitude. c. What are some observations from parts a and b?

Answer 1

the energy ratio by magnitude 6 to 5 is approx 32

the energy ratio by magnitude 6 to 5 is approx 28

difference between above both energy is higher in Gutenberg equation as compare to Marcus Bath equation for 1 unit earthquake magnitude increase

Step-by-step explanation:

given data

surface wave magnitude (Ms) = increases by one unit

and if increase of one unit in the body-wave magnitude

to find out

Calculate the amount by which the seismic energy release

solution

we know that Gutenberg Richter law that

Log E = 4.8 + 1.5 Ms .......................1

here E is energy of Earthquake and Ms is Surface wave magnitude

we will put here Ms 5 and then 6

and energy release will is 1.99 ×
`10^(12)` J and then 6.3 ×
`10^(13)` J

and the energy ratio by magnitude 6 to 5 is approx 31.65 i.e. = 32

and

now we use Marcus Bath equation that is

Log E = 5.24 + 1.44 Mb

here Mb is Body wave magnitude and E is earthquake energy

so now we take value of Ms is 5 and then 6

and energy release will be here 2.75 ×
`10^(12)` J and then 7.58 ×
`10^(13)` J

so the energy ratio by magnitude 6 to 5 is approx 27.56 i.e. = 28

and

difference between above both energy is higher in Gutenberg equation as compare to Marcus Bath equation for 1 unit earthquake magnitude increase