Two scales for one earthquake
This reference pairs the two systems used to describe earthquakes. Magnitude (Richter or the modern moment magnitude, Mw) measures the energy released at the source on a logarithmic scale. The Modified Mercalli Intensity (MMI) scale rates the shaking and damage felt at a location on twelve descriptive levels. A built-in estimator converts any magnitude into an approximate energy release.
How it works
Magnitude is logarithmic. Each whole-number increase represents about ten times
larger ground-motion amplitude and roughly 31.6 times more energy released, since
energy scales with 10^(1.5 M). The energy estimate uses the Gutenberg-Richter
relation:
energy_joules = 10 ^ (1.5 * M + 4.8)
tons_TNT = energy_joules / 4.184e9
Mercalli works the opposite way: it is observational. Trained assessors assign a roman-numeral level from I to XII based on felt reports and structural damage, so a single quake produces a patchwork of intensities that fade with distance from the epicentre.
Tips and notes
- A magnitude 6.0 releases roughly 1,000 times the energy of a magnitude 4.0.
- Intensity depends on local geology: soft soil amplifies shaking, so two towns at the same distance can report very different MMI values.
- “Great” quakes (Mw 8.0 and above) happen about once a year worldwide; Mw 9.0+ events occur only every one to several decades.
- The energy figure is an order-of-magnitude guide, not a precise yield.