Earthquake nucleation in a stochastic fault model of globally coupled units with interaction delays
Samo za registrovane korisnike
2016
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In present paper we analyze dynamics of fault motion by considering delayed interaction of 100 all-to-all coupled blocks with rate-dependent friction law in presence of random seismic noise. Such a model sufficiently well describes a real fault motion, whose prevailing stochastic nature is implied by surrogate data analysis of available GPS measurements of active fault movement. Interaction of blocks in an analyzed model is studied as a function of time delay, observed both for dynamics of individual faults and phenomenological models. Analyzed model is examined as a system of all-to-all coupled blocks according to typical assumption of compound faults as complex of globally coupled segments. We apply numerical methods to show that there are local bifurcations from equilibrium state to periodic oscillations, with an occurrence of irregular aperiodic behavior when initial conditions are set away from the equilibrium point. Such a behavior indicates a possible existence of a bi-stable dy...namical regime, due to effect of the introduced seismic noise or the existence of global attractor. The latter assumption is additionally confirmed by analyzing the corresponding mean-field approximated model. In this bi-stable regime, distribution of event magnitudes follows Gutenberg-Richter power law with satisfying statistical accuracy, including the b-value within the real observed range.
Izvor:
Communications in Nonlinear Science and Numerical Simulation, 2016, 38, 117-129Izdavač:
- Elsevier Science BV, Amsterdam
Finansiranje / projekti:
- Fazni prelazi i karakterizacija neorganskih i organskih sistema (RS-MESTD-Basic Research (BR or ON)-171015)
DOI: 10.1016/j.cnsns.2016.02.011
ISSN: 1007-5704
WoS: 000373526000010
Scopus: 2-s2.0-84960122252
Institucija/grupa
PharmacyTY - JOUR AU - Vasović, Nebojša AU - Kostić, Srdan AU - Franović, Igor AU - Todorović, Kristina PY - 2016 UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2598 AB - In present paper we analyze dynamics of fault motion by considering delayed interaction of 100 all-to-all coupled blocks with rate-dependent friction law in presence of random seismic noise. Such a model sufficiently well describes a real fault motion, whose prevailing stochastic nature is implied by surrogate data analysis of available GPS measurements of active fault movement. Interaction of blocks in an analyzed model is studied as a function of time delay, observed both for dynamics of individual faults and phenomenological models. Analyzed model is examined as a system of all-to-all coupled blocks according to typical assumption of compound faults as complex of globally coupled segments. We apply numerical methods to show that there are local bifurcations from equilibrium state to periodic oscillations, with an occurrence of irregular aperiodic behavior when initial conditions are set away from the equilibrium point. Such a behavior indicates a possible existence of a bi-stable dynamical regime, due to effect of the introduced seismic noise or the existence of global attractor. The latter assumption is additionally confirmed by analyzing the corresponding mean-field approximated model. In this bi-stable regime, distribution of event magnitudes follows Gutenberg-Richter power law with satisfying statistical accuracy, including the b-value within the real observed range. PB - Elsevier Science BV, Amsterdam T2 - Communications in Nonlinear Science and Numerical Simulation T1 - Earthquake nucleation in a stochastic fault model of globally coupled units with interaction delays VL - 38 SP - 117 EP - 129 DO - 10.1016/j.cnsns.2016.02.011 ER -
@article{ author = "Vasović, Nebojša and Kostić, Srdan and Franović, Igor and Todorović, Kristina", year = "2016", abstract = "In present paper we analyze dynamics of fault motion by considering delayed interaction of 100 all-to-all coupled blocks with rate-dependent friction law in presence of random seismic noise. Such a model sufficiently well describes a real fault motion, whose prevailing stochastic nature is implied by surrogate data analysis of available GPS measurements of active fault movement. Interaction of blocks in an analyzed model is studied as a function of time delay, observed both for dynamics of individual faults and phenomenological models. Analyzed model is examined as a system of all-to-all coupled blocks according to typical assumption of compound faults as complex of globally coupled segments. We apply numerical methods to show that there are local bifurcations from equilibrium state to periodic oscillations, with an occurrence of irregular aperiodic behavior when initial conditions are set away from the equilibrium point. Such a behavior indicates a possible existence of a bi-stable dynamical regime, due to effect of the introduced seismic noise or the existence of global attractor. The latter assumption is additionally confirmed by analyzing the corresponding mean-field approximated model. In this bi-stable regime, distribution of event magnitudes follows Gutenberg-Richter power law with satisfying statistical accuracy, including the b-value within the real observed range.", publisher = "Elsevier Science BV, Amsterdam", journal = "Communications in Nonlinear Science and Numerical Simulation", title = "Earthquake nucleation in a stochastic fault model of globally coupled units with interaction delays", volume = "38", pages = "117-129", doi = "10.1016/j.cnsns.2016.02.011" }
Vasović, N., Kostić, S., Franović, I.,& Todorović, K.. (2016). Earthquake nucleation in a stochastic fault model of globally coupled units with interaction delays. in Communications in Nonlinear Science and Numerical Simulation Elsevier Science BV, Amsterdam., 38, 117-129. https://doi.org/10.1016/j.cnsns.2016.02.011
Vasović N, Kostić S, Franović I, Todorović K. Earthquake nucleation in a stochastic fault model of globally coupled units with interaction delays. in Communications in Nonlinear Science and Numerical Simulation. 2016;38:117-129. doi:10.1016/j.cnsns.2016.02.011 .
Vasović, Nebojša, Kostić, Srdan, Franović, Igor, Todorović, Kristina, "Earthquake nucleation in a stochastic fault model of globally coupled units with interaction delays" in Communications in Nonlinear Science and Numerical Simulation, 38 (2016):117-129, https://doi.org/10.1016/j.cnsns.2016.02.011 . .