TY - JOUR

T1 - Earthquake Processes

T2 - A View from Synergetics and the Theory of Catastrophes

AU - Arsen’yev, Sergey A.

AU - Eppelbaum, Lev V.

AU - Meirova, Tatiana

N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

PY - 2019/8/1

Y1 - 2019/8/1

N2 - The theory of catastrophes and synergetics, developed by mathematicians in the second half of the twentieth century (Haken in Synergetics. Introduction and advances topics. Springer, Berlin, 1978; Arnol’d VI in Catastrophic theory. Springer, Berlin 2004), is used to analyze earthquake processes in active faults. It is shown that the oscillators of the seismic radiation are vibrating blocks at the border of the fault, and the source of the energy supply is the margin of the fault moving with the velocity V0. The input or loss of energy is regulated by a nonlinear element, the frictional force F(V), which depends on the difference V between the velocity of the fault margin V0 and the velocity of the seismic block vibration: V = V0 − dx/dt. Precise conditions for the occurrence of an earthquake, its attenuation, or the generation of a tectonic tremor in its source are formulated.

AB - The theory of catastrophes and synergetics, developed by mathematicians in the second half of the twentieth century (Haken in Synergetics. Introduction and advances topics. Springer, Berlin, 1978; Arnol’d VI in Catastrophic theory. Springer, Berlin 2004), is used to analyze earthquake processes in active faults. It is shown that the oscillators of the seismic radiation are vibrating blocks at the border of the fault, and the source of the energy supply is the margin of the fault moving with the velocity V0. The input or loss of energy is regulated by a nonlinear element, the frictional force F(V), which depends on the difference V between the velocity of the fault margin V0 and the velocity of the seismic block vibration: V = V0 − dx/dt. Precise conditions for the occurrence of an earthquake, its attenuation, or the generation of a tectonic tremor in its source are formulated.

KW - Earthquake mechanisms

KW - nonlinear friction

KW - oscillations of rock blocks in faults

UR - http://www.scopus.com/inward/record.url?scp=85064331652&partnerID=8YFLogxK

U2 - 10.1007/s00024-019-02172-w

DO - 10.1007/s00024-019-02172-w

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AN - SCOPUS:85064331652

SN - 0033-4553

VL - 176

SP - 3377

EP - 3390

JO - Pure and Applied Geophysics

JF - Pure and Applied Geophysics

IS - 8

ER -