Gutenberg–Richter law

An empirical relationship stating that earthquake frequency decreases exponentially as magnitude increases within a region and time period. Its slope, the b-value, describes the relative abundance of small and large earthquakes.

b-value: The slope parameter in the Gutenberg–Richter relation, measuring the relative frequency of small and large earthquakes. It sets how steeply earthquake counts decline as magnitude rises.
Probabilistic seismic hazard analysis: A method for estimating the likelihood that specified levels of ground shaking will be exceeded at a site over time. Its earthquake recurrence models often use Gutenberg–Richter rates to estimate shaking probabilities.
Characteristic earthquake model: A model proposing that faults tend to produce earthquakes near a characteristic size more often than a simple scale-invariant model predicts. It challenges the law's implication that earthquake sizes follow a smoothly declining distribution.
Beno Gutenberg: A German-American seismologist who helped establish quantitative methods for studying earthquakes and the Earth's interior. His earthquake-count analyses helped establish the empirical relation.
a-value: The intercept parameter in the Gutenberg–Richter relation, reflecting earthquake productivity for a specified area and period. It sets the overall event rate, apart from the size distribution's steepness.
Earthquake early warning system: A system that detects an earthquake's first seismic waves and rapidly alerts areas before stronger shaking arrives. Frequency–magnitude statistics help characterize the event populations these systems monitor.
Omori law: An empirical relation describing how aftershock rates decay with time after a mainshock. It describes the time evolution of aftershocks, unlike Gutenberg–Richter's magnitude–frequency scaling.
Charles Francis Richter: An American seismologist who developed the local magnitude scale with Beno Gutenberg. Richter's collaboration with Gutenberg gave the frequency–magnitude law its name.
Earthquake magnitude: A logarithmic measure of the size of an earthquake, derived from seismic observations. Magnitude is the size variable whose frequency decline the law quantifies.
Magnitude of completeness: The lowest earthquake magnitude above which a seismic catalog is considered sufficiently complete for statistical analysis. Counts below this threshold can bias the fitted frequency–magnitude relation.

Linked from 5 pages