Modelling earthquake activity features using cellular automata

Cellular automata (CA) are a powerful technique for modelling otherwise intractably complex systems. On the other hand, earthquake can be defined as a spatially extended dissipative dynamic system that naturally evolves into a critical state with no characteristic time or length scales. In this paper, a two-dimensional CA model capable of reproducing some prominent features of earthquake data is presented. The proposed model with continuous states and discrete time, comprises cell-charges and aims at simulating earthquake activity with the usage of potentials. Several measurements have been carried out at different critical states, leading to different paths to criticality, for various cascade (earthquake) sizes, various cell activities and different neighbourhood sizes. Most notably, the produced simulation results emulate the Gutenberg-Richter (GR) scaling law, in both quantitative and qualitative way. Furthermore, the CA model has been implemented with a user-friendly interface and the user can change several of its parameters, in order to study various hypotheses concerning the aforementioned earthquake activity features.

[1]  Tang,et al.  Self-Organized Criticality: An Explanation of 1/f Noise , 2011 .

[2]  Ioannis G. Karafyllidis,et al.  Study of lithography profiles developed on non-planar Si surfaces , 1999 .

[3]  Carlson,et al.  Mechanical model of an earthquake fault. , 1989, Physical review. A, General physics.

[4]  Bastien Chopard,et al.  Cellular Automata Modeling of Physical Systems: Index , 1998 .

[5]  Panagiotis Tzionas,et al.  A cellular automaton for the determination of the mean velocity of moving objects and its VLSI implementation , 1996, Pattern Recognit..

[6]  Michel Cabane,et al.  Aerosols in Titan's atmosphere : models, sampling techniques and chemical analysis , 1991 .

[7]  Hwa,et al.  Dissipative transport in open systems: An investigation of self-organized criticality. , 1989, Physical review letters.

[8]  H. Chen,et al.  Theory of multicolor lattice gas: a cellular automaton Poisson solver , 1990 .

[9]  B. Gutenberg,et al.  Magnitude and Energy of Earthquakes , 1936, Nature.

[10]  R. Feynman Simulating physics with computers , 1999 .

[11]  Bialynicki-Birula Weyl, Dirac, and Maxwell equations on a lattice as unitary cellular automata. , 1994, Physical review. D, Particles and fields.

[12]  G. Sirakoulis,et al.  A cellular automaton model for the effects of population movement and vaccination on epidemic propagation , 2000 .

[13]  Georgios Ch. Sirakoulis,et al.  A TCAD system for VLSI implementation of the CVD process using VHDL , 2004, Integr..

[14]  S. Omohundro Modelling cellular automata with partial differential equations , 1984 .

[15]  Tommaso Toffoli,et al.  Cellular Automata as an Alternative to (Rather than an Approximation of) Differential Equations in M , 1984 .

[16]  李幼升,et al.  Ph , 1989 .

[17]  L. Knopoff,et al.  Model and theoretical seismicity , 1967 .

[18]  G. Vichniac Simulating physics with cellular automata , 1984 .

[19]  Georgios Ch. Sirakoulis,et al.  A CAD system for the construction and VLSI implementation of Cellular Automata algorithms using VHDL , 2003, Microprocess. Microsystems.

[20]  G. Hernández,et al.  Parallel and distributed simulations and visualizations of the Olami–Feder–Christiensen earthquake model☆ , 2002 .

[21]  Tommaso Toffoli,et al.  CAM: A high-performance cellular-automaton machine , 1984 .

[22]  Stephen Wolfram,et al.  Theory and Applications of Cellular Automata , 1986 .

[23]  John von Neumann,et al.  Theory Of Self Reproducing Automata , 1967 .

[24]  P. Bak,et al.  Earthquakes as a self‐organized critical phenomenon , 1989 .

[25]  Ioannis G. Karafyllidis,et al.  Simulation of electrical tree growth in solid dielectrics containing voids of arbitrary shape , 1996 .

[26]  Christensen,et al.  Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes. , 1992, Physical review letters.

[27]  Ioannis Andreadis,et al.  A new hardware module for automated visual inspection based on a cellular automaton architecture , 1996, J. Intell. Robotic Syst..

[28]  John B. Rundle,et al.  Models of earthquake faults with long-range stress transfer , 2000, Comput. Sci. Eng..

[29]  Ioannis G. Karafyllidis,et al.  A new simulator for the oxidation process in integrated circuit fabrication based on cellular automata , 1999 .