22. The transmission coefficient for the vertically incident seismic wave at the interface between layer 1 and layer 2 is?
Layer1= V_{1}=1000
m/s,~~~~\rho_{1}=1200kg/m^{3}
Layer2= V_{2}=1500
m/s,~~~~\rho_{2}=1300kg/m^{3}
V_{1}~V_{2}=P-wave~velocity,~~~~\rho_{1},\rho_{2}=densities
(Thanks to Pragnath, AU)
Solution:
we know that Transmission
coefficient (T~C)=\frac{2(V_{1}*\rho_{1})}{(V_{2}*\rho_{2})+(V_{1}*\rho_{1})}----(1)
Substituting above values in equation (1)
T~C=\frac{2(1000*1200)}{(1500*1300)+(1000*1200)}
T~C=\frac{(24*10^{5})}{(195*10^4)+(24*10^5)}
T~C=\frac{24*10^{5}}{(435*10^4)}
T~C=0.761
please check this some maybe wrong
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