J. Wilkie et al., RICHTER MAGNITUDES AND SITE CORRECTIONS USING VERTICAL COMPONENT SEISMOGRAMS, Australian journal of earth sciences, 41(3), 1994, pp. 221-228
The definition of the Richter ML magnitude scale is in terms of seismi
c wave horizontal components recorded on Wood-Anderson seismographs. H
owever, at many seismograph sites only the vertical component is avail
able, and at sedimentary sites horizontal components are usually signi
ficantly amplified, causing complications in the assignment of a magni
tude to an earthquake. Because each earthquake can be recorded at a di
fferent subset of sites, each subset having a different combination of
site amplifications, the assignment of a magnitude is dependent upon
the seismograph site combination that records a particular earthquake.
Although there is some amplification of the vertical component at sed
imentary foundation sites, it is shown that a reduced spread of values
Of ML magnitude, consistent with low amplification (bedrock) site mag
nitudes, can be achieved using the vertical component to compute the m
agnitude and adding 0.2 to adjust to the ML magnitude scale (defined i
n terms of the horizontal components). This presupposes that the sites
used by Richter were on bedrock; however, even if this is incorrect,
it appears to be a necessary precondition for the world-wide unificati
on of the Richter scale along with defining the true gain of Wood-Ande
rson seismographs rather than accepting the design gain of 2800. Site
corrections would be smaller than those established using the horizont
al components. Taking into account the use of only the vertical compon
ent in the calculation Of ML and including the 0.2 adjustment to the e
quivalent horizontal component derived magnitude, the expression for t
he calculation of magnitudes in the Victoria region becomes: ML = logA
(z) - logS(z) + 0.9 + logR + 0.0056Re-0.0013R where A(z) is the equiva
lent Wood-Anderson seismograph displacement amplitude, S(z) is the sit
e amplification (vertical component) and R is the hypocentral distance
.