Simulation of earthquakes with cellular automata
The relation between cellular automata (CA) models of earthquakes and the Burridge–Knopoff (BK) model is studied. It is shown that the CA proposed by P. Bak and C. Tang,although they have rather realistic power spectra, do not correspond to the BK model. We present a modification of the CA which est...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022698000247 |
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| author | P. G. Akishin M. V. Altaisky I. Antoniou A. D. Budnik V. V. Ivanov |
| author_facet | P. G. Akishin M. V. Altaisky I. Antoniou A. D. Budnik V. V. Ivanov |
| author_sort | P. G. Akishin |
| collection | DOAJ |
| description | The relation between cellular automata (CA) models of earthquakes and the Burridge–Knopoff (BK) model is studied. It is shown that the CA proposed by P. Bak and C. Tang,although they have rather realistic power spectra, do not correspond to the BK model. We present a modification of the CA which establishes the correspondence with the BK model.An analytical method of studying the evolution of the BK-like CA is proposed. By this method a functional quadratic in stress release, which can be regarded as an analog of the event energy, is constructed. The distribution of seismic events with respect to this “energy” shows rather realistic behavior, even in two dimensions. Special attention is paid to two-dimensional automata; the physical restrictions on compression and shear stiffnesses are imposed. |
| format | Article |
| id | doaj-art-1371c190910c40cb8b32c8c2e2fccf3c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-1371c190910c40cb8b32c8c2e2fccf3c2025-08-20T03:55:44ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1998-01-012426727910.1155/S1026022698000247Simulation of earthquakes with cellular automataP. G. Akishin0M. V. Altaisky1I. Antoniou2A. D. Budnik3V. V. Ivanov4Laboratory of Computing Techniques and Automation, Joint Institute for Nuclear Research, Dubna 141980, RussiaLaboratory of Computing Techniques and Automation, Joint Institute for Nuclear Research, Dubna 141980, Russialnternational Solvay Institutes for Physics and Chemistry, CP-231, ULB, Campus Plaine, Bd. du Triomphe, Brussels 1050, BelgiumLaboratory of Computing Techniques and Automation, Joint Institute for Nuclear Research, Dubna 141980, RussiaLaboratory of Computing Techniques and Automation, Joint Institute for Nuclear Research, Dubna 141980, RussiaThe relation between cellular automata (CA) models of earthquakes and the Burridge–Knopoff (BK) model is studied. It is shown that the CA proposed by P. Bak and C. Tang,although they have rather realistic power spectra, do not correspond to the BK model. We present a modification of the CA which establishes the correspondence with the BK model.An analytical method of studying the evolution of the BK-like CA is proposed. By this method a functional quadratic in stress release, which can be regarded as an analog of the event energy, is constructed. The distribution of seismic events with respect to this “energy” shows rather realistic behavior, even in two dimensions. Special attention is paid to two-dimensional automata; the physical restrictions on compression and shear stiffnesses are imposed.http://dx.doi.org/10.1155/S1026022698000247EarthquakesCellular automata. |
| spellingShingle | P. G. Akishin M. V. Altaisky I. Antoniou A. D. Budnik V. V. Ivanov Simulation of earthquakes with cellular automata Discrete Dynamics in Nature and Society Earthquakes Cellular automata. |
| title | Simulation of earthquakes with cellular automata |
| title_full | Simulation of earthquakes with cellular automata |
| title_fullStr | Simulation of earthquakes with cellular automata |
| title_full_unstemmed | Simulation of earthquakes with cellular automata |
| title_short | Simulation of earthquakes with cellular automata |
| title_sort | simulation of earthquakes with cellular automata |
| topic | Earthquakes Cellular automata. |
| url | http://dx.doi.org/10.1155/S1026022698000247 |
| work_keys_str_mv | AT pgakishin simulationofearthquakeswithcellularautomata AT mvaltaisky simulationofearthquakeswithcellularautomata AT iantoniou simulationofearthquakeswithcellularautomata AT adbudnik simulationofearthquakeswithcellularautomata AT vvivanov simulationofearthquakeswithcellularautomata |