Power Laws & Surprising Statistics
Math · Intermediate · Lesson 7 of 7

Aftershocks & Omori’s Law

A power law in time

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • Omori’s law: aftershock rate n(t)=K/(t+c)n(t) = K/(t + c), a power law in time.
  • Each factor of ten in time brings the same number of aftershocks.
  • Båth’s law: the largest aftershock is about 1.2 magnitudes below the main shock.

Steps

  1. Shaking that slowly fades
  2. Day ten
  3. Equal shares of a log scale
  4. Does it ever stop?
  5. Count them
  6. The biggest aftershock