Omori Aftershock Law

After a mainshock, aftershock rates decay as R(t) = K / (c + t)^p — Omori's law. Modified Omori law (Utsu 1961) allows exponent p ≠ 1. Aftershocks cluster near the mainshock and decay predictably.

Omori (1894): aftershock rate ~ 1/t. Utsu (1961): R(t) = K/(c+t)^p. Typical p ≈ 1. Magnitude-frequency: Gutenberg-Richter b-value ~ 1.