Mm: A variable-period mantle magnitude for intermediate and deep earthquakes

Emile A. Okal*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


We extend to the case of intermediate and deep earthquakes the mantle magnitude developed for shallow shocks by okal and Talandier (1989). Specifically, from the measurement of the spectral amplitude of Rayleigh waves at a single station, we obtain a mantle magnitude, Mm, theoretically related to the seismic moment of the event through {Mathematical expression} The computation of Mminvolves two corrections. The distance correction is the same as for shallow shocks. For the purpose of computing the frequency-dependent source correction, we define three depth windows: Intermediate (A) (75 to 200 km); Intermediate (B) (200-400 km) and Deep (over 400 km). In each window, the source correction CS is modeled by a cubic spline of log10T. Analysis of a dataset of 200 measurements (mostly from GEOSCOPE stations) shows that the seismic moment of the earthquakes is recovered with a standard deviation of 0.23 units of magnitude, and a mean bias of only 0.14 unit. These figures are basically similar to those for shallow events. Our method successfully recognizes truly large deep events, such as the 1970 Colombia shock, and errors due to the potential misclassification of events into the wrong depth window are minimal.

Original languageEnglish (US)
Pages (from-to)333-354
Number of pages22
JournalPure and Applied Geophysics PAGEOPH
Issue number3
StatePublished - Oct 1 1990


  • Mantle magnitude
  • Rayleigh waves
  • deep sources

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology


Dive into the research topics of 'Mm: A variable-period mantle magnitude for intermediate and deep earthquakes'. Together they form a unique fingerprint.

Cite this