The AS-1 Seismograph –Magnitude Determination

 

L. W. BraileÓ, November, 2002

  Updated April 30, 2006

 

 

 

 

 

 

Estimating Earthquake Magnitude from AS-1 Seismograms:  Magnitude is an estimate of the energy release or size of an earthquake.  Magnitude estimates are calculated from the amplitude of wave energy on a seismograph adjusting for the distance of the seismograph station from the earthquake (seismic waves spread out and are absorbed during propagation and thus generally become smaller at greater distances from the earthquake epicenter) and the amplification of the signal by the seismograph.   Magnitude formulas have been developed for different types of seismographs (usually dependent on the frequency response of the seismograph) and different type of seismic arrivals (body waves and surface waves).  Usually, the formulas are valid for a certain range of epicenter to station distances or region (for example, Richter magnitude was developed for California) and for earthquakes of particular depths (for example, surface wave magnitudes are only valid for shallow focus earthquakes) or magnitude (body wave formulas are inaccurate for very large earthquakes).  Additionally, magnitude formulas have been developed over time as instruments have changed and more data have become available.  Generally, magnitudes should be determined form amplitudes measured on unfiltered seismograms.  If large noise levels necessitate filtering the seismogram before measuring amplitudes, one should select cutoff frequencies for the filter that place the typical frequency for the magnitude determination (about 0.5 – 1 Hz for body waves [mb], and 0.05 Hz (20 s period) for surface waves [MS]) near the center of the filter “passband” (approximately midway between the cutoff frequencies).  Information on magnitudes and intensity (magnitude and intensity are often confused – magnitude is a measure of the size of the earthquake, intensity is the level of ground shaking at a specific location) can be found in Bolt (1993, 1999) and at the following web sites:

 

neic.usgs.gov/neis/general/handouts/general_seismicity.html

www.seismo.unr.edu/ftp/pub/louie/class/100/magnitude.html

lasker.princeton.edu/ScienceProjects/curr/eqmag/eqmag.htm

http://www.eas.slu.edu/People/CJAmmon/HTML/Classes/IntroQuakes/Notes/earthquake_size.html

http://www.seismo.com/msop/nmsop/03%20source/source4/source4.html

 

Currently, in an effort to reduce confusion about earthquake magnitudes and use the most reliable measure of earthquake size, most magnitudes reported by the US Geological Survey (http://earthquake.usgs.gov) are labeled “Magnitude” or “M” and are moment magnitude (sometimes referred to as Mw) determinations (when available).  However, traditional magnitude determinations such as body wave magnitude (mb), surface wave magnitude (MS) and Lg wave magnitude (mbLg) are also reported in USGS earthquake catalogs.  Determinations of magnitude for these magnitude definitions can be made using data from the AS-1 seismograph.

 

The procedure for determining magnitude from seismograms recorded by the AS-1 seismograph is:

 

From the AmaSeis software, determine the approximate arrival time of the earthquake.  If possible, pick the P and S arrivals (filtering the seismogram may help in the identification of the S wave) and estimate the distance using the travel time curve tool.  Using the selection tool, zoom in on the P wave (extract the early part of the seismogram; the time expansion tool at the bottom left of the screen may also be useful for zooming in on the P arrival) and determine the maximum amplitude (zero to peak, in counts) and the approximate period of the P wave.  Use the largest amplitude of the P wave.  The P arrival may include energy that occurs during the first approximately 10 s of the record.  Often, a distinct secondary P phase (such as pP or PP) will be present after the first P arrival.  Estimate the period by measuring the time in seconds between two successive peaks or troughs of the signal.  A millimeter scale held up to the screen is useful to this measurement.  Next, using the selection tool, extract the early (usually largest) part of the surface wave signal (the surface waves will usually be distinguished by their much lower frequency) on the seismogram and determine the maximum amplitude (zero to peak, in counts) of the surface wave arrival that is near 20 s period.  Note the period of the surface wave where your amplitude measurement is made. 

 

1.      Go to the USGS earthquake search web site (neic.usgs.gov/neis/epic/epic.html) or the IRIS earthquake search site (http://www.iris.washington.edu/, select Event Search under the Quick Links menu at left side of screen) or, for recent events, to the USGS earthquake site (http://earthquake.usgs.gov, select Latest Quakes and then NEIC Current Earthquake Information) or the IRIS Seismic Monitor tool, www.iris.edu) and find and record the “official” origin time, location (latitude and longitude; note S latitudes and W longitudes are negative; and depth) and magnitude.  Several magnitude estimates may be available (for events that occurred at least a week earlier, the IRIS event search tool can be used to find different magnitude estimates; for example, the primary magnitude reported may be Mw (moment magnitude) which cannot be estimated from AS-1 record, but mb and MS magnitude may be reported later).  The IRIS sites also provide a brief geographic description of the earthquake location that is often useful. 

 

2.      Go to the USGS travel time and distance calculation site (http://neic.usgs.gov/neis/travel_times/) and calculate the distance from your seismograph station to the earthquake epicenter by entering the latitudes and longitudes of the event and the station into the web site form.  If you don’t know the latitude and longitude of your station, you can view a topographic map and use the tools to find a specific location at www.maptech.com (click on Online Maps select the Map Server, then enter city and state in the boxes and click go; select correct map from list if list of possible maps appears; choose DD.DD in coordinates window to the left of the displayed topographic map; place cursor on location of interest; read the latitude and longitude of the