Omori Law — Aftershock Decay Rate

Omori–Utsu Law

After a mainshock, aftershock rate decays as: n(t) = K / (t + c)^p where K is productivity (scales with mainshock magnitude via Bath's law), c prevents singularity at t=0, and p ≈ 1 (empirically 0.9–1.4).

The ETAS (Epidemic-Type Aftershock Sequence) model allows each aftershock to trigger its own sequence — explaining the fractal clustering of seismicity. The map shows epicenters; distance from mainshock follows Omori spatial decay ~r⁻². Click the map to manually place a mainshock.