Regional moment - Magnitude relations for earthquakes and explosions

Statistics

Scientific paper

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Earthquakes, Seismology, Underground Explosions, Discriminant Analysis (Statistics), Nuclear Explosions

Scientific paper

We present M sub o:m sub b relations using m sub b (P sub n) and m sub b (L sub g) for earthquakes and explosions occurring in tectonic and stable areas. The observations for m sub b (P sub n) range from about 3 to 6 and show excellent separation between earthquakes and explosions on M sub o:m sub b plots, independent of the magnitude. The scatter in M sub o:m sub b observations for NTS explosions is small compared to the earthquake data. The M sub o:m sub b (L sub g) data for Soviet explosions overlay the observations for U.S. explosions. These results, and the small scatter for NTS explosions, suggest weak dependence of M sub o:m sub b relations on emplacement media. A simple theoretical model is developed which matches all these observations. The model uses scaling similarity and conservation of energy to provide a physical link between seismic moment and a broadband seismic magnitude. For U.S. explosions in different media, the material property and apparent stress contributions are shown to compensate for one another, supporting the observations that M sub o:m sub b is nearly independent of source geology.

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