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\begin{document}

The total radiated energy is \( E_{s}=\tau c_{s}r^{2}(\rho (\frac{\zeta }{\tau })^{2}=energydensity)\sim c_{s}\rho L^{2}D^{2}\frac{1}{\tau } \) \( \sim \mu LD^{2}=M_{0}\frac{D}{L}\sim \triangle \sigma \triangle \epsilon L^{3}\sim (\triangle \epsilon )^{2}\mu L^{3}\sim 3*10^{18}(\frac{L}{km})^{3}ergs \). 

A kiloton of TNT has \( E\sim 4*10^{19}erg \)

A quake may not relieve the total stress in the rocks. 

A typical earthquake relieves \( \sigma \sim 30bars\sim 3*10^{7}dynes/cm^{2} \) while \( \mu \sim 3*10^{11}dyne/cm^{2} \) Rocks undermountains can take
\( \sigma =(1-2)*10^{3}bars \)

Examples:

\begin{itemize}

\item san-francisco earthquake 1906: \( 6*10^{23}erg \)

\item Alaska 1964: \( 4*10^{25}erg \)

\item Chile 1960: \( 10^{26}erg \) (biggest this century, about magnitude 9)

\end{itemize}

\end{document}