Earthquakes tend to group in clusters, themselves divided into subclusters, and so on. Earthquake activity is not evenly divided among clusters, so multifractals are an appropriate description. |
Earthquake energy distribution highly heterogeneous, multifractal in fact. Earthquakes in Japan are more multifractal than those in California, and those in Greece more than those in Japan, according to Hirabayshi, Ito, and Yoshi. Their paper includes this wonderful idea |
Earthquakes are turbulence in solids. |
Dongsheng, Zhaobi, and Binghong found a multifractal distribution of earthquakes in Tangshan, China. They noted an abrupt drop in the multifractal dimension immediately before the 7.8 Tangshan quake on June 29, 1976, and speculate that multifractals may be useful in predicting earthquakes. Recalling that the 1976 Tangshan earthquake killed over 240,000 people, everything that might help predict even a little should be studied. |
Okubo and Aki found correlations between earthquake propagation along the San Andreas fault and the dimension of the local fault: higher-dimensional faults slow or stop the propagation of the rupture. |
Now if we could find a way to increase the fault dimension, maybe we could prevent, or redirect, earthquakes. |
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