A Fault Model with Two Asperities of Different Areas and Strengths

Lorenzano, Emanuele; Dragoni, Michele

doi:10.1007/s11004-018-9738-x

Cited by 4 publications

(12 citation statements)

References 19 publications

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“…Let f 1 and f 2 be the tangential forces applied to asperities in the slip direction. They can be written as (Lorenzano & Dragoni, 2018a)…”

Section: The Dynamical Systemmentioning

confidence: 99%

“…where s is the shear traction (per unit seismic moment) that the slip of one asperity imposes to the other, calculated at the asperity centroid (Lorenzano & Dragoni, 2018a).…”

Section: The Dynamical Systemmentioning

confidence: 99%

“…where m 1 and m 2 are masses associated with the asperities (Lorenzano & Dragoni, 2018a). Hence, the evolution of the system is described by ( 9) and (10) in mode 00, by ( 11) and (10) in mode 10, by ( 9) and (12) in mode 01 and by ( 11) and ( 12) in mode 11.…”

Section: The Dynamical Systemmentioning

confidence: 99%

“…It is useful to express the model variables and parameters in nondimensional form. To this aim, nondimensional variables and time are introduced (Lorenzano & Dragoni, 2018a):…”

Section: Nondimensional Formulationmentioning

confidence: 99%

“…Since the system has two degrees of freedom, its phase space is a 4-manifold S. The evolution of the system can be described by the orbit of its representative point (X, Y, _ X, _ Y) in S. The effect of radiation on fault dynamics is expressed by parameters (Dragoni & Santini, 2015;Lorenzano & Dragoni, 2018a)…”

Section: Nondimensional Formulationmentioning

confidence: 99%

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Discrete Fault Models

Dragoni

2022

Pure Appl. Geophys.

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Fault surfaces are characterized by an inhomogeneous friction distribution, that can be represented with asperity models. Fault mechanics is dominated by asperities, so that a fruitful approach is to use discrete models, where asperities are the basic elements and the state of the fault is described by the average values of stress, friction and slip on each asperity. Under reasonable assumptions, the equations of motion can be solved analytically, with a deeper understanding of the behavior of the system. Fault dynamics has a sticking mode, where asperities are stationary, and a number of slipping modes, corresponding to the separate or simultaneous motion of asperities. Any seismic event is a sequence of slipping modes and a large variety of source functions is possible. Many large earthquakes are observed to be the consequence of the failure of two asperities: a discrete two-asperity model shows a rich dynamics and allows a detailed study of interaction between asperities. In this framework, fault evolution during coseismic and interseismic intervals can be calculated in terms of fault slip, stress state, energy release and seismic spectrum, including viscoelastic relaxation, fault creep and stress perturbations from other faults. Discrete models may include interaction between neighboring faults, allowing to assess conditions for the occurrence of seismic sequences in a fault system. A review of recent work on this subject is presented with applications to real earthquakes.

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“…Let f 1 and f 2 be the tangential forces applied to asperities in the slip direction. They can be written as (Lorenzano & Dragoni, 2018a)…”

Section: The Dynamical Systemmentioning

confidence: 99%

“…where s is the shear traction (per unit seismic moment) that the slip of one asperity imposes to the other, calculated at the asperity centroid (Lorenzano & Dragoni, 2018a).…”

Section: The Dynamical Systemmentioning

confidence: 99%

Section: The Dynamical Systemmentioning

confidence: 99%

“…It is useful to express the model variables and parameters in nondimensional form. To this aim, nondimensional variables and time are introduced (Lorenzano & Dragoni, 2018a):…”

Section: Nondimensional Formulationmentioning

confidence: 99%

Section: Nondimensional Formulationmentioning

confidence: 99%

See 3 more Smart Citations