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Non-linear energy-frequency curves in statistics of earthquakes

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Summary

The linear adjustment of the energy-frequency distribution of earthquakes is critically regarded. However, it contains some faults. Therefore, the logarithmic-normal distribution is proposed for adjusting energy-frequency observations of earthquakes. The parameters of the logarithmicnormal distribution are determined from observations by the method of least squares. For many examples from different epicentral areas and different time intervals the parameters of the logarithmicnormal distribution are calculated and compared with one another. It follows that the exact shape of the energy-frequency distribution is fixed by the total energy of all earthquakes occurring per unit of time. There must be the possibility of liberating the seismic energy of 1013 ergs in a given epicentral area of 1000 km2 during one year, so that earthquakes can really occur.

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Publication No. 49 of the Institut für Geodynamik, 69 Jena (GDR), Burgweg 11. Forschungs-gemeinschaft der Deutschen Akademie der Wissenschaften zu Berlin.

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Neunhöfer, H. Non-linear energy-frequency curves in statistics of earthquakes. PAGEOPH 72, 76–83 (1969). https://doi.org/10.1007/BF00875695

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