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Richter Scale Magnitude to Energy

The Richter magnitude scale assigns a magnitude number to quantify the size of an earthquake. The Richter scale is a base 10 logarithmic scale, which defines magnitude as the logarithm of the ratio of the amplitude of the seismic waves to an arbitrary, minor amplitude, as recorded on a standardized seismograph at a standard distance. The energy release is generally proportional to the shaking amplitude raised to the 3/2 power.

The equivalent energy is porportional to 10 to the power 3/2 of the Richter scale magnitude.

Formula

QuantityVariable["E", "Energy"] == 10^(4.8 + 1.5*QuantityVariable[Subscript["M", "L"], "Unitless"])*Quantity[1, "Joules"]

symbol description physical quantity
E equivalent energy "Energy"
ML Richter scale magnitude "Unitless"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Richter Scale Magnitude to Energy"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Richter Scale Magnitude to Energy"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[
 ResourceObject[
  "Richter Scale Magnitude to Energy"], {QuantityVariable[
   "E","Energy"] -> Quantity[2, "Terajoules"]}]
Out[3]=

Source Metadata

Publisher Information