Peak ground acceleration (PGA) is equal to the maximum ground
acceleration
In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the ...
that occurred during
earthquake
An earthquake (also known as a quake, tremor or temblor) is the shaking of the surface of the Earth resulting from a sudden release of energy in the Earth's lithosphere that creates seismic waves. Earthquakes can range in intensity, from ...
shaking at a location. PGA is equal to the
amplitude
The amplitude of a periodic variable is a measure of its change in a single period (such as time or spatial period). The amplitude of a non-periodic signal is its magnitude compared with a reference value. There are various definitions of amplit ...
of the largest absolute acceleration recorded on an
accelerogram at a site during a particular earthquake. Earthquake shaking generally occurs in all three directions. Therefore, PGA is often split into the horizontal and vertical components. Horizontal PGAs are generally larger than those in the vertical direction but this is not always true, especially close to large earthquakes. PGA is an important parameter (also known as an intensity measure) for
earthquake engineering
Earthquake engineering is an interdisciplinary branch of engineering that designs and analyzes structures, such as buildings and bridges, with earthquakes in mind. Its overall goal is to make such structures more resistant to earthquakes. An earth ...
, The design basis earthquake ground motion (DBEGM) is often defined in terms of PGA.
Unlike the
Richter and
moment magnitude scales, it is not a measure of the total
energy
In physics, energy (from Ancient Greek: ἐνέργεια, ''enérgeia'', “activity”) is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat a ...
(magnitude, or size) of an earthquake, but rather of how hard the earth shakes at a given geographic point. The
Mercalli intensity scale
The Modified Mercalli intensity scale (MM, MMI, or MCS), developed from Giuseppe Mercalli's Mercalli intensity scale of 1902, is a seismic intensity scale used for measuring the intensity of shaking produced by an earthquake. It measures the eff ...
uses personal reports and observations to measure earthquake intensity but PGA is measured by instruments, such as
accelerographs. It can be correlated to macroseismic intensities on the Mercalli scale
but these correlations are associated with large uncertainty. See also
seismic scale.
The peak horizontal acceleration (PHA) is the most commonly used type of ground acceleration in engineering applications. It is often used within
earthquake engineering
Earthquake engineering is an interdisciplinary branch of engineering that designs and analyzes structures, such as buildings and bridges, with earthquakes in mind. Its overall goal is to make such structures more resistant to earthquakes. An earth ...
(including seismic
building code
A building code (also building control or building regulations) is a set of rules that specify the standards for constructed objects such as buildings and non-building structures. Buildings must conform to the code to obtain planning permission ...
s) and it is commonly plotted on
seismic hazard maps. In an earthquake, damage to buildings and infrastructure is related more closely to ground motion, of which PGA is a measure, rather than the magnitude of the earthquake itself. For moderate earthquakes, PGA is a reasonably good determinant of damage; in severe earthquakes, damage is more often correlated with
peak ground velocity.
Geophysics
Earthquake energy is dispersed in waves from the
hypocentre
In seismology, a hypocenter or hypocentre () is the point of origin of an earthquake or a subsurface nuclear explosion. A synonym is the focus of an earthquake.
Earthquakes
An earthquake's hypocenter is the position where the strain energy s ...
, causing ground movement omnidirectionally but typically modelled horizontally (in two directions) and vertically. PGA records the
acceleration
In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the ...
(rate of change of speed) of these movements, while peak ground velocity is the greatest speed (rate of movement) reached by the ground, and peak displacement is the distance moved.
These values vary in different earthquakes, and in differing sites within one earthquake event, depending on a number of factors. These include the length of the fault, magnitude, the depth of the quake, the distance from the epicentre, the duration (length of the shake cycle), and the geology of the ground (subsurface). Shallow-focused earthquakes generate stronger shaking (acceleration) than intermediate and deep quakes, since the energy is released closer to the surface.
Peak ground acceleration can be expressed in fractions of ''g'' (the standard acceleration due to
Earth's gravity
The gravity of Earth, denoted by , is the net acceleration that is imparted to objects due to the combined effect of gravitation (from mass distribution within Earth) and the centrifugal force (from the Earth's rotation).
It is a vector quantity ...
, equivalent to
g-force
The gravitational force equivalent, or, more commonly, g-force, is a measurement of the type of force per unit mass – typically acceleration – that causes a perception of weight, with a g-force of 1 g (not gram in mass measure ...
) as either a decimal or percentage; in m/s
2 (1 ''g'' = 9.81 m/s
2);
or in multiples of
Gal, where 1 Gal is equal to 0.01 m/s (1 ''g'' = 981 Gal).
The ground type can significantly influence ground acceleration, so PGA values can display extreme variability over distances of a few kilometers, particularly with moderate to large earthquakes.
The varying PGA results from an earthquake can be displayed on a
shake map
In seismology, strong ground motion is the strong earthquake shaking that occurs close to (less than about 50 km from) a causative fault. The strength of the shaking involved in strong ground motion usually overwhelms a seismometer, forci ...
.
Due to the complex conditions affecting PGA, earthquakes of similar magnitude can offer disparate results, with many moderate magnitude earthquakes generating significantly larger PGA values than larger magnitude quakes.
During an earthquake, ground acceleration is measured in three directions: vertically (V or UD, for up-down) and two perpendicular horizontal directions (H1 and H2), often north–south (NS) and east–west (EW). The peak acceleration in each of these directions is recorded, with the highest individual value often reported. Alternatively, a combined value for a given station can be noted. The peak horizontal ground acceleration (PHA or PHGA) can be reached by selecting the higher individual recording, taking the
mean
There are several kinds of mean in mathematics, especially in statistics. Each mean serves to summarize a given group of data, often to better understand the overall value (magnitude and sign) of a given data set.
For a data set, the ''arithme ...
of the two values, or calculating a
vector sum of the two components. A three-component value can also be reached, by taking the vertical component into consideration also.
In seismic engineering, the effective peak acceleration (EPA, the maximum ground acceleration to which a building responds) is often used, which tends to be ⅔ – ¾ the PGA.
Seismic risk and engineering
Study of geographic areas combined with an assessment of historical earthquakes allows geologists to determine
seismic risk and to create
seismic hazard maps, which show the likely PGA values to be experienced in a region during an earthquake, with a
probability of exceedance (PE).
Seismic engineers and government planning departments use these values to determine the appropriate
earthquake loading for buildings in each zone, with key identified structures (such as hospitals, bridges, power plants) needing to survive the
maximum considered earthquake
A seismic hazard is the probability that an earthquake will occur in a given geographic area, within a given window of time, and with ground motion intensity exceeding a given threshold. With a hazard thus estimated, risk can be assessed and includ ...
(MCE).
Damage to buildings is related to both
peak ground velocity (PGV) and the duration of the earthquake – the longer high-level shaking persists, the greater the likelihood of damage.
Comparison of instrumental and felt intensity
Peak ground acceleration provides a measurement of ''instrumental intensity'', that is, ground shaking recorded by
seismic instruments. Other intensity scales measure ''felt intensity'', based on eyewitness reports, felt shaking, and observed damage. There is correlation between these scales, but not always absolute agreement since experiences and damage can be affected by many other factors, including the quality of earthquake engineering.
Generally speaking,
* 0.001 ''g'' (0.01 m/s) – perceptible by people
* 0.02 ''g'' (0.2 m/s) – people lose their balance
* 0.50 ''g'' (5 m/s) – very high; well-designed buildings can survive if the duration is short.
Correlation with the Mercalli scale
The
United States Geological Survey
The United States Geological Survey (USGS), formerly simply known as the Geological Survey, is a scientific agency of the United States government. The scientists of the USGS study the landscape of the United States, its natural resources, ...
developed an Instrumental Intensity scale, which maps peak ground acceleration and peak ground velocity on an intensity scale similar to the felt
Mercalli scale
The Modified Mercalli intensity scale (MM, MMI, or MCS), developed from Giuseppe Mercalli's Mercalli intensity scale of 1902, is a seismic intensity scale used for measuring the intensity of shaking produced by an earthquake. It measures the eff ...
. These values are used to create shake maps by seismologists around the world.
Other intensity scales
In the 7-class
Japan Meteorological Agency seismic intensity scale, the highest intensity, Shindo 7, covers accelerations greater than 4 m/s (0.41 ''g'').
PGA hazard risks worldwide
In
India
India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the so ...
, areas with expected PGA values higher than 0.36 ''g'' are classed as "Zone 5", or "Very High Damage Risk Zone".
Notable earthquakes
See also
*
Earthquake simulation
Earthquake simulation applies a real or simulated vibrational input to a structure that possesses the essential features of a real seismic event. Earthquake simulations are generally performed to study the effects of earthquakes on man-made engin ...
*
Japan Meteorological Agency seismic intensity scale
*
Spectral acceleration
References
Bibliography
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{{DEFAULTSORT:Peak Ground Acceleration
Seismology
Earthquake engineering
Acceleration