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Sengupta & Toksöz 1977
Sengupta, M.K. and Toksöz, M.N. (1977). The amplitudes of P waves and magnitude corrections for deep focus earthquakes. Journal of Geophysical Research 82. doi: 10.1029/JB082i020p02971. issn: 0148-0227.

Amplitudes of P waves recorded by World-Wide Standard Seismograph Network seismographs from deep focus earthquakes around the world were analyzed to determine long- and short-period amplitude-distance curves. Data from deep focus earthquakes were chosen to remove the effect of near source heterogeneity in the upper mantle. Effects of near receiver heterogeneity have been eliminated by estimating the station anomaly terms. The amplitudes were corrected for source radiation pattern also. The short-period amplitude-distance curve has a low ('minimum') at a distance of 60¿ and a peak at a distance of 75¿. The long-period amplitude-distance curve is smoother than the short-period curve. Both curves show a rapid decrease of amplitudes beyond a distance of 85¿ due to the effects of the core. On visual inspection the short-period amplitude-distance curve is found to be similar to that of Carpenter et al. (1967) and the long-period one to that of Nuttli (1972), both of which are derived from explosion data. Ray theoretical amplitudes using the Q model of Archambeau et al, (1969) fit our amplitude data well, a result suggesting that average Q in the lower mantle is greater than about 1000. Body wave magnitudes determined separately from short-period and long-period amplitude-distance curves approximately agree with each other, a finding suggesting that at the source, the P wave amplitude/period ratio remains constant for deep focus earthquakes at least for the periods of 1 s and 10 s and for the range of magnitudes studied, approximately 5--7.

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Journal
Journal of Geophysical Research
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American Geophysical Union
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