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Earthquake Energy

Earthquake energy is the energy released during an earthquake, primarily through the sudden movement of rocks along faults in the Earth's crust.  An earthquake is the sudden release of stored elastic energy caused by the fracture and movement of rocks along a fault, with some of this energy propagating as seismic waves that cause the ground to shake.  This energy originates from tectonic forces that slowly deform and stress the Earth's crust over time, building up elastic strain until it exceeds the strength of the rocks, leading to sudden slippage.  

Earthquake Energy formula

\(  E \;=\; 10^{(1.5 \cdot M \;+\; 4.8)}  \)
Symbol English Metric
\( E \) = Earthquake Energy \(ft-lbs\) \(J\)
\( M \) = Earthquake Magnitude \(dimensionless\) \(dimensionless\)

The released energy is distributed in several forms.  A portion is converted into seismic waves that travel through the Earth and along its surface, causing the ground shaking associated with earthquakes.  These waves include primary (P) waves, secondary (S) waves, and surface waves.  Another portion of the energy is consumed by friction along the fault, which generates heat.  Some energy is used to break and deform rocks near the fault zone, creating fractures and permanent ground displacement.  Only a fraction of the total released energy becomes seismic waves that can be detected by seismographs.

Earthquake magnitude scales, such as the moment magnitude scale (MW), provide a standardized way to quantify this energy release.  Magnitude is a measure of the total energy released at the source.  Each whole number increase in magnitude corresponds to approximately 32 times more energy release, even though it represents only a tenfold increase in the amplitude of seismic waves recorded on seismographs.

Seismic energy is distinct from but related to seismic moment, which measures the physical size of the rupture (fault area times average slip times rock rigidity).  While seismic moment quantifies the total deformation work, radiated seismic energy specifically captures the kinetic energy carried by the waves.  In most earthquakes, these are proportional, but variations in rupture speed can cause differences.

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