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M m: Extension to Love waves of the concept of a variable-period mantle magnitude

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Abstract

We extend to Love waves the concept of the mantle magnitudeM mintroduced recently for Rayleigh waves. Spectral amplitudesX(ω) of Love waves in the 50–300 s period range are measured on broad-band records from major events. A distance correctionC D, regionalized to reflect the influence of different tectonic paths, and a source correctionC S, compensating for the variation of excitation with period are effected; the exact geometry and depth of the event are however ignored. The resulting expression

$$M_m = \log _{10} X(\omega ) + C_D + C_S - 0.90$$

is expected to be an estimation of log10 M 0-20, whereM 0 is the seismic moment of the event. All quantities in this equation are fully justified from a theoretical standpoint.

The analysis of a dataset of more than 300 Love records shows thatM mcorrectly describes the seismic moment, with average residuals in the range of 0.1–0.2 unit of magnitude. No significant trend with either distance or period of measurement is present. In particular,M mdoes not saturate and continues to grow linearly with log10 M 0 for very large events. The combiantion of the Rayleigh and LoveM mguards in general against underestimation ofM 0.

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Authors and Affiliations

  1. Department of Geological Sciences, Norhtwestern University, 60208, Evanston, Illinois, USA

    Emile A. Okal

  2. Laboratoire de Géophysique, Commissariat à l'Energie Atomique, Papeete, Boîte Postale 640, Tahiti, French Polynesia

    Jacques Talandier

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  1. Emile A. Okal
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  2. Jacques Talandier
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Okal, E.A., Talandier, J. M m: Extension to Love waves of the concept of a variable-period mantle magnitude. PAGEOPH 134, 355–384 (1990). https://doi.org/10.1007/BF00878738

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