Time and magnitude predictions in shocks due to chaotic fault interactions

Mathematics – Logic

Scientific paper

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Chaos, Earthquakes, Geological Faults, Regression Analysis, Seismic Energy, Time Lag, Equations Of Motion, Mathematical Models, Prediction Analysis Techniques, Stochastic Processes

Scientific paper

The model by Huang and Turcotte (1990) is examined in terms of the consequences of the chaotic mechanism relating to the time between large events and their magnitudes. The two-block spring-loaded fault model is studied to record the seismic moment of each failure greater than a threshold level as well as the time since the last seismic moment that exceeded the threshold. The prediction-regression analysis appears to give a point-distribution map that can determine the values of the succeeding event. Time-lags and moments that are the results of chaotic dynamics can be plotted into predictable spaces. It is suggested that to understand the complexity of fault interactions studies can be made of prediction-regression analyses applied to real data and plotted onto multidimensional phase spaces.

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