Białecki M, Gałka M, Bagchi A, Gulgowski J. Modeling Exact Frequency-Energy Distribution for Quakes by a Probabilistic Cellular Automaton.
ENTROPY (BASEL, SWITZERLAND) 2023;
25:e25050819. [PMID:
37238574 DOI:
10.3390/e25050819]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/25/2023] [Revised: 05/11/2023] [Accepted: 05/17/2023] [Indexed: 05/28/2023]
Abstract
We develop the notion of Random Domino Automaton, a simple probabilistic cellular automaton model for earthquake statistics, in order to provide a mechanistic basis for the interrelation of Gutenberg-Richter law and Omori law with the waiting time distribution for earthquakes. In this work, we provide a general algebraic solution to the inverse problem for the model and apply the proposed procedure to seismic data recorded in the Legnica-Głogów Copper District in Poland, which demonstrate the adequacy of the method. The solution of the inverse problem enables adjustment of the model to localization-dependent seismic properties manifested by deviations from Gutenberg-Richter law.
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