Gutenberg–Richter law

E376757

The Gutenberg–Richter law is an empirical relationship in seismology that expresses how the frequency of earthquakes decreases exponentially with increasing magnitude.

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Predicate Object
instanceOf empirical law
seismology concept
appliesTo earthquake catalogs
induced seismicity
tectonic earthquakes
assumes complete earthquake catalog above a magnitude threshold
stationary seismicity over the analysis period
canBeEstimatedBy least-squares fitting of frequency–magnitude data
maximum likelihood methods
characterizes earthquake size distribution
describes frequency–magnitude distribution of earthquakes
relationship between earthquake magnitude and occurrence rate
developedInField 20th-century seismology
expresses cumulative number of earthquakes above a given magnitude
field seismology
hasConsequence linear trend in log-frequency versus magnitude plots
power-law distribution of earthquake sizes
hasMathematicalForm log10 N = a − bM
hasParameter a-value
b-value
implies earthquake frequency decreases exponentially with increasing magnitude
small earthquakes are much more frequent than large earthquakes
influenced development of modern seismic hazard maps
mathematicalNature log-linear relationship
mayDeviateFor largest earthquakes
very small earthquakes
namedAfter Beno Gutenberg
Charles Francis Richter
parameterRole a-value represents overall seismicity rate
b-value represents relative proportion of small to large earthquakes
relatedTo Omori law
Richter magnitude scale
moment magnitude scale
seismic moment–frequency distribution
scaleInvariance reflects self-similarity of earthquake processes
supports design of earthquake-resistant structures
estimation of maximum expected ground motion
typicalBValue approximately 1
usedBy earthquake engineers
hazard modelers
seismologists
usedFor earthquake forecasting models
estimating recurrence intervals of earthquakes
probabilistic seismic hazard analysis
seismic hazard assessment
seismic risk analysis
validityRange intermediate magnitude range of earthquakes

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Referenced by (5)

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moment magnitude scale relatedTo Gutenberg–Richter law
Beno Gutenberg notableWork Gutenberg–Richter law
Beno Gutenberg coAuthorOf Gutenberg–Richter law
Beno Gutenberg eponymOf Gutenberg–Richter law
Beno Gutenberg eponymOf Gutenberg–Richter law
this entity surface form: Gutenberg–Richter magnitude–frequency relation