Numerical and laboratory simulation of fault motion and earthquake occurrence

Cohen, Steven C.

doi:10.1029/rg017i001p00061

Cited by 16 publications

(8 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The description of the physical models of viscosity can be found in several articles (Jaeger and Cook, 1977;Cohen, 1979;Hudson, 1980;Wang, 2016b). A brief description is given below.…”

Section: Viscositymentioning

confidence: 99%

“…From numerical simulations, Wang (2007Wang ( , 2016bWang ( , 2017 stressed the viscous effect on faulting. Noted that several researchers (Knopoff et al, 1973;Cohen, 1979;Xu and Knopoff, 1994;Knopoff and Ni, 2001;Dragoni and Santini, 2015) took viscosity as a factor in causing seismic radiation to reduce energy during faulting. The viscosity coefficient, υ, of rocks is mainly controlled by temperature, T .…”

Section: Viscositymentioning

confidence: 99%

See 1 more Smart Citation

Multistable slip of a one-degree-of-freedom spring-slider model in the presence of thermal-pressurized slip-weakening friction and viscosity

Wang

2017

Nonlin. Processes Geophys.

View full text Add to dashboard Cite

Abstract. This study is focused on multistable slip of earthquakes based on a one-degree-of-freedom spring-slider model in the presence of thermal-pressurized slip-weakening friction and viscosity by using the normalized equation of motion of the model. The major model parameters are the normalized characteristic displacement, U c , of the friction law and the normalized viscosity coefficient, η, between the slider and background plate. Analytic results at small slip suggest that there is a solution regime for η and γ (= 1/U c ) to make the slider slip steadily. Numerical simulations exhibit that the time variation in normalized velocity, V /V max (V max is the maximum velocity), obviously depends on U c and η. The effect on the amplitude is stronger due to η than due to U c . In the phase portrait of V /V max versus the normalized displacement, U/U max (U max is the maximum displacement), there are two fixed points. The one at large V /V max and large U/U max is not an attractor, while that at small V /V max and small U/U max can be an attractor for some values of η and U c . When U c <0.55, unstable slip does not exist. When U c ≥ 0.55, U c and η divide the solution domain into three regimes: stable, intermittent, and unstable (or chaotic) regimes. For a certain U c , the three regimes are controlled by a lower bound, η l , and an upper bound, η u , of η. The values of η l , η u , and η u − η l all decrease with increasing U c , thus suggesting that it is easier to yield unstable slip for larger U c than for smaller U c or for larger η than for smaller η. When U c <1, the Fourier spectra calculated from simulation velocity waveforms exhibit several peaks, thus suggesting the existence of nonlinear behavior of the system. When U c >1, the related Fourier spectra show only one peak, thus suggesting linear behavior of the system.

show abstract

“…The description of the physical models of viscosity can be found in several articles (Jaeger and Cook, 1977;Cohen, 1979;Hudson, 1980;Wang, 2016b). A brief description is given below.…”

Section: Viscositymentioning

confidence: 99%

Section: Viscositymentioning

confidence: 99%

Multistable slip of a one-degree-of-freedom spring-slider model in the presence of thermal-pressurized slip-weakening friction and viscosity

Wang

2017

Nonlin. Processes Geophys.

View full text Add to dashboard Cite

show abstract

“…Quartz plasticity could lubricate the fault plane at higher T and yield viscous stresses to resist slip at lower T. Some researchers have already investigated the effect of viscosity in springblock system [e.g., Shaw, 1994;Yoshino, 1998;Hainzl et al, 1999;Wang, 2016a]. On the other hand, several researchers [Knopoff et al, 1973;Cohen, 1979;Xu and Knopoff, 1994;Knopoff and Ni, 2001] took the viscous effect as a factor in causing seismic radiation to reduce energy during earthquake ruptures.…”

Section: Introductionmentioning

confidence: 99%

Slip of a Two-degree-of-freedom Spring-slider Model in the Presence of Slip-dependent Friction and Viscosity

Wang

2017

Annals of Geophysics

View full text Add to dashboard Cite

show abstract

“…This model and its revised versions have been widely applied to simulate the occurrences of earthquakes (Otsuka 1972;Yamashita 1976;Rundle and Jackson 1977;Cohen 1979;Aki 1984/85 andCarlson and Langer 1989a, b;Carlson 1991a;Carlson et al 1991;Wang 1991Wang , 1993Wang , 1994Wang , 1995aWang , b, 1996Wang , 1997aKnopoff et al 1992;Shaw et al 1992;Shaw 1993Shaw , 1994Shaw , 1995Pepke et al 1994;Xu and Knopoff 1994;Schmittbuhl et al 1996). Before 1989, the number of mass elements of the model used was small, and, thus, simulation results were not good enough.…”

Section: Introductionmentioning

confidence: 99%

One-Dimensional Dynamical Modeling of Earthquakes: A Review

Wang

2008

Terr. Atmos. Ocean. Sci.

View full text Add to dashboard Cite

3. This relation is commonly considered to hold up for a wide range of events (Hanks 1977). However, for Japanese earthquakes, Shimazaki (1986) AbstrActStudies of the power-law relations of seismicity and earthquake source parameters based on the one-dimensional (1-D) Burridge-Knopoff's (BK) dynamical lattice model, especially those studies conducted by Taiwan's scientists, are reviewed in this article. In general, velocity-and/or state-dependent friction is considered to control faulting. A uniform distribution of breaking strengths (i.e., the static friction strength) is taken into account in some studies, and inhomogeneous distributions in others. The scaling relations in these studies include: Omori's law, the magnitude-frequency or energy-frequency relation, the relation between source duration time and seismic moment, the relation between rupture length and seismic moment, the frequency-length relation, and the source power spectra. The main parameters of the one-dimensional (1-D) Burridge-Knopoff's (BK) dynamical lattice model include: the decreasing rate (r) of dynamic friction strength with sliding velocity; the type and degree of heterogeneous distribution of the breaking strengths, the stiffness ratio (i.e., the ratio between the stiffness of the coil spring connecting two mass elements and that of the leaf spring linking a mass element and the moving plate); the frictional drop ratio of the minimum dynamic friction strength to the breaking strength; and the maximum breaking strength. For some authors, the distribution of the breaking strengths was considered to be a fractal function. Hence, the fractal dimension of such a distribution is also a significant parameter. Comparison between observed scaling laws and simulation results shows that the 1-D BK dynamical lattice model acceptably approaches fault dynamics.

show abstract

Numerical and laboratory simulation of fault motion and earthquake occurrence

Cited by 16 publications

References 29 publications

Multistable slip of a one-degree-of-freedom spring-slider model in the presence of thermal-pressurized slip-weakening friction and viscosity

Multistable slip of a one-degree-of-freedom spring-slider model in the presence of thermal-pressurized slip-weakening friction and viscosity

Slip of a Two-degree-of-freedom Spring-slider Model in the Presence of Slip-dependent Friction and Viscosity

One-Dimensional Dynamical Modeling of Earthquakes: A Review

Contact Info

Product

Resources

About