What is moment magnitude in seismology?

In seismology, moment magnitude ( M W) is a quantitative measure of an earthquake's size, developed in the 1970s. It is calculated based on the earthquake's seismic moment ( M 0), which considers the fault's geometry and the force involved in its movement. This scale is particularly reliable for measuring the largest and most destructive earthquakes, exceeding magnitude 8, and provides a more accurate accounting of the total energy released compared to older scales like the Richter scale . The formula for moment magnitude is M W = 2/3log M 0 – 10.7.

How is moment magnitude used to measure earthquakes?

The moment magnitude scale ( M W) measures an earthquake's size by considering its seismic moment ( M 0). This seismic moment is calculated using the fault's geometry, the average displacement along the fault, and the rigidity of the rocks involved. Unlike the Richter scale , which relies on the amplitude of seismic waves, moment magnitude provides a more accurate accounting of the total energy released by an earthquake. This makes it particularly reliable for measuring the largest and most destructive earthquakes, avoiding the magnitude saturation issues found in other scales. The formula used is M W = 2/3log M 0 – 10.7.

How is moment magnitude different from the Richter scale?

The moment magnitude scale ( M W) is a more accurate measure of an earthquake's total energy release compared to the Richter scale ( M L). The Richter scale relies on the amplitude of seismic waves recorded by seismographs, which can lead to magnitude saturation for larger earthquakes. In contrast, moment magnitude calculates an earthquake's size based on its seismic moment ( M 0), which considers the fault's geometry and the displacement along the fault. This method provides a more reliable measurement, especially for the largest and most destructive earthquakes. While the Richter scale is often still mentioned in news reports, modern seismology prefers the moment magnitude scale for its accuracy.

What information is needed to calculate moment magnitude?

To calculate moment magnitude ( M W), you need to consider the earthquake's seismic moment ( M 0). The seismic moment is determined by the fault's geometry and the earthquake's seismic moment. Specifically, it involves the average fault displacement ( D ), the total area of the fault surface ( A ), and the average rigidity of the rocks in the fault ( μ ), expressed by the formula M 0 = D A \u03bc. The moment magnitude scale is preferred for measuring large earthquakes because it more accurately accounts for the total energy released. This scale avoids magnitude saturation, a problem where other scales mischaracterize large earthquakes.

Why do scientists prefer moment magnitude over older scales?

Scientists prefer the moment magnitude scale ( M W) over older scales like the Richter scale because it provides a more accurate measure of an earthquake's total energy release. Unlike older scales that rely on the amplitude of seismic waves, moment magnitude calculates an earthquake's seismic moment ( M 0) by considering the fault's geometry and the displacement along the fault. This method avoids "magnitude saturation," a problem where older scales underestimate the size of large earthquakes (greater than magnitude 8). The moment magnitude scale is thus the most reliable for measuring the largest and most destructive earthquakes.

How does the moment magnitude scale help us understand earthquake energy and impacts?

The moment magnitude scale ( M W) is the most reliable measure of an earthquake's size, especially for larger events, because it calculates the total energy released. Unlike the Richter scale , which relies on seismic wave amplitudes, M W considers the fault's geometry and the seismic moment ( M 0). The seismic moment is determined by the fault's displacement, area, and rock rigidity, providing a more accurate accounting of the energy released. This scale avoids "magnitude saturation," where other scales underestimate large earthquakes, making it crucial for understanding the true impact of major seismic events.

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seismology

Also known as: M scale, Mw, Mw scale, moment magnitude scale

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What is moment magnitude in seismology?
In seismology, moment magnitude (M_W) is a quantitative measure of an earthquake's size, developed in the 1970s. It is calculated based on the earthquake's seismic moment (M₀), which considers the fault's geometry and the force involved in its movement. This scale is particularly reliable for measuring the largest and most destructive earthquakes, exceeding magnitude 8, and provides a more accurate accounting of the total energy released compared to older scales like the Richter scale. The formula for moment magnitude is M_W = 2/3log M₀ – 10.7.
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How is moment magnitude used to measure earthquakes?
The moment magnitude scale (M_W) measures an earthquake's size by considering its seismic moment (M₀). This seismic moment is calculated using the fault's geometry, the average displacement along the fault, and the rigidity of the rocks involved. Unlike the Richter scale, which relies on the amplitude of seismic waves, moment magnitude provides a more accurate accounting of the total energy released by an earthquake. This makes it particularly reliable for measuring the largest and most destructive earthquakes, avoiding the magnitude saturation issues found in other scales. The formula used is M_W = 2/3log M₀ – 10.7.
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1. earthquake: Top Questions
2. moment magnitude
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How is moment magnitude different from the Richter scale?
The moment magnitude scale (M_W) is a more accurate measure of an earthquake's total energy release compared to the Richter scale (M_L). The Richter scale relies on the amplitude of seismic waves recorded by seismographs, which can lead to magnitude saturation for larger earthquakes. In contrast, moment magnitude calculates an earthquake's size based on its seismic moment (M₀), which considers the fault's geometry and the displacement along the fault. This method provides a more reliable measurement, especially for the largest and most destructive earthquakes. While the Richter scale is often still mentioned in news reports, modern seismology prefers the moment magnitude scale for its accuracy.
4 Britannica Sources
Created from Britannica articles using AI. AI can make mistakes, so verify using Britannica articles.
What information is needed to calculate moment magnitude?
To calculate moment magnitude (M_W), you need to consider the earthquake's seismic moment (M₀). The seismic moment is determined by the fault's geometry and the earthquake's seismic moment. Specifically, it involves the average fault displacement (D), the total area of the fault surface (A), and the average rigidity of the rocks in the fault (μ), expressed by the formula M₀ = DA\u03bc.

The moment magnitude scale is preferred for measuring large earthquakes because it more accurately accounts for the total energy released. This scale avoids magnitude saturation, a problem where other scales mischaracterize large earthquakes.
2 Britannica Sources
1. earthquake: Top Questions
2. moment magnitude
Created from Britannica articles using AI. AI can make mistakes, so verify using Britannica articles.
Why do scientists prefer moment magnitude over older scales?
Scientists prefer the moment magnitude scale (M_W) over older scales like the Richter scale because it provides a more accurate measure of an earthquake's total energy release. Unlike older scales that rely on the amplitude of seismic waves, moment magnitude calculates an earthquake's seismic moment (M₀) by considering the fault's geometry and the displacement along the fault. This method avoids "magnitude saturation," a problem where older scales underestimate the size of large earthquakes (greater than magnitude 8). The moment magnitude scale is thus the most reliable for measuring the largest and most destructive earthquakes.
3 Britannica Sources
Created from Britannica articles using AI. AI can make mistakes, so verify using Britannica articles.
How does the moment magnitude scale help us understand earthquake energy and impacts?
The moment magnitude scale (M_W) is the most reliable measure of an earthquake's size, especially for larger events, because it calculates the total energy released. Unlike the Richter scale, which relies on seismic wave amplitudes, M_W considers the fault's geometry and the seismic moment (M₀). The seismic moment is determined by the fault's displacement, area, and rock rigidity, providing a more accurate accounting of the energy released. This scale avoids "magnitude saturation," where other scales underestimate large earthquakes, making it crucial for understanding the true impact of major seismic events.
3 Britannica Sources
Created from Britannica articles using AI. AI can make mistakes, so verify using Britannica articles.

moment magnitude (M_W), quantitative measure of an earthquake’s magnitude (or relative size), developed in the 1970s by Japanese seismologist Hiroo Kanamori and American seismologist Thomas C. Hanks. Calculations of an earthquake’s size using the moment magnitude scale are tied to an earthquake’s seismic moment (M₀) rather than to the amplitudes of seismic waves recorded by seismographs. The moment magnitude scale is the only scale capable of reliably measuring the magnitudes of the largest, most destructive earthquakes (that is, greater than magnitude 8).

Methodology

The moment magnitude scale was designed to produce a more accurate accounting of the total energy released by an earthquake, and it calculates the earthquake’s magnitude more accurately than other measures—such as the Richter scale (M_L), the body-wave scale (m_b), and the surface-wave scale (M_S). The moment magnitude scale considers the fault’s geometry (the angle and other qualities of the plane that characterize the fault that ruptures during an earthquake) and the earthquake’s seismic moment (that is, the displacement of the fault across its entire surface multiplied by the force used to move the fault). Seismographs are also used to provide the data used to calculate the earthquake’s seismic moment. Instead of relying only on the peak amplitude of the largest incoming seismic wave (as in the Richter scale), measurements taken from seismographs at different locations are used to describe seismic waves emanating from the earthquake’s focus (the point within Earth where an earthquake begins) in multiple directions, and the data collected by these seismographs can be used to determine the fault’s geometry.

The seismic moment, M₀, can be expressed by the formula M₀ = DAμ where D is the average fault displacement, A is the total area of the fault surface, and μ is the average rigidity (with respect to shearing forces) of the rocks in the fault. M₀, measured in dyne-cm (1 dyne-cm = 1 × 10^–7 newton-metre), is essentially the amount of energy released by the earthquake.

Earthquake magnitude is a concept that is not rooted in a mechanical process; it is similar to the concept of stellar magnitude in astronomy, in that it is used to compare one earthquake to another. Measuring the seismic moment allows for the development of a more uniform, scientific scale of an earthquake’s relative size based on classical mechanics, called moment magnitude (M_W). M_W can be determined by using the following formula:

M_W = 2/3log M₀ – 10.7

Magnitude saturation

The main reason why the moment magnitude scale is the most reliable method of calculating the relative size of large earthquakes is that its underlying calculation process avoids the problem of magnitude saturation, because it is based on measurements of an earthquake’s total energy. Magnitude saturation is the tendency for earthquake magnitude calculations to cluster around certain numerical thresholds on a logarithmic scale, and it can occur when measures of earthquake magnitude that rely on gauging the peak amplitude of the largest seismic waves in a given earthquake event are used. For example, for earthquakes measured using the original Richter scale, those that are larger than 6.5 are mischaracterized as magnitude-6.5 earthquake events. Magnitude saturation also occurs in body-wave magnitude (m_b) and surface-wave magnitude (M_S) calculations as earthquake magnitudes approach or exceed magnitude 8. Magnitude saturation was the reason that the Chile earthquake of 1960 was first calculated as being a magnitude-8.3 event on the surface-wave magnitude scale before it was recalculated as being a magnitude-9.5 event some years later using the moment magnitude scale.

For large earthquake events, government earthquake monitoring agencies, such as the United States Geological Survey and the Japan Meteorological Agency, often provide initial earthquake magnitudes to the public by using the body-wave and surface-wave scales first. Earthquake magnitude calculations using these methods are less complicated than determining the moment magnitude, and they allow these agencies to report an earthquake’s relative size to the public rapidly. As time and resources allow, earthquake magnitudes are adjusted later by using the moment magnitude scale.

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John P. Rafferty

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Magnitude saturation