abstract

This study proposes a method to estimate the seismic moment of regional and local earthquakes based on simple measurements made directly on Wood-Anderson seismograms. The method parallels the routine estimation of local magnitude in observatory work. The relation used is

 
logMo=a+blog(C×D×Δp)

where C is the maximum peak-to-peak amplitude read on a Wood-Anderson seismogram, D is the duration between the S arrival and the onset with amplitude C/d, Δ is epicentral distance, and a, b, p, and d are constants. The form of the logarithmic term is suggested by the analytical expression for moment (Keilis-Borok, 1960).

Least-squares fits were made to data from 73 Wood-Anderson records of 16 central California earthquakes with seismic moments already evaluated independently from spectral analysis or broadband displacement records. The values p = 1, d, = 3 proved appropriate and subsequent regression yielded

 
logMo=(16.74±0.20)+(1.22±0.14)log(C×D×Δ)

where Mo is dyne-cm, C in millimeters, D in seconds, and Δ in kilometers.

The corresponding moment-magnitude relation is

 
logMo=(17.92±1.02)+(1.11±0.15)ML,

for 3 ≦ ML ≦ 6.2.

The latter fit is close to an earlier empirical result (Johnson and McEvilly, 1974) for central California based on fewer cases and a different range of magnitude (2.4 ≦ ML ≦ 5.1).

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