Slow-Slip Phenomena Represented by the One-Dimensional Burridge–Knopoff Model of Earthquakes

Kawamura, Hikaru; Yamamoto, Maho; Ueda, Yushi

doi:10.7566/jpsj.87.053001

Cited by 5 publications

(4 citation statements)

References 24 publications

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“…Shibazaki and Matsu'ura [1993] further found that the accelerating stage from phase-II to phase-III is related to the presence of nucleation phase in the front of the main P wave. Their results are similar to those obtained by Ueda et al [2014Ueda et al [ , 2015 and Kawamura et al [2018]. The results of this study and Wang [2017a] only show two stages which are comparable with the phase-I and phase-III stages proposed by Matsu'ura [1992, 1993].…”

Section: Discussionsupporting

confidence: 91%

“…Brantut et al [2011] concluded that metamorphic dehydration influences the nucleation of unstable slip and could be an origin for slow-slip events in subduction zones. Ueda et al [2014Ueda et al [ , 2015 and Kawamura et al [2018] pointed out that the nucleation process includes the quasi-static initial phase, the unstable acceleration phase, and the high-speed rupture phase (i.e., a mainshock) and recognized two kinds of nucleation lengths, i.e., L sc and L c which are affected by model parameters, yet not by the earthquake size. The L sc related to the initial phase exists only for a weak frictional instability regime; while the L c associated with the acceleration phase exist for both weak and strong instability regimes.…”

Section: Introductionmentioning

confidence: 99%

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Can the Nucleation Phase be Generated on a Sub-fault Linked to the Main Fault of an Earthquake?

Wang

2023

Annals of Geophysics

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We study the effects of seismic coupling, friction, viscous, and inertia on earthquake nucleation based on a two-body spring-slider model in the presence of thermal- pressurized slip-dependent friction and viscosity. The stiffness ratio of the system to represent seismic coupling is the ratio of coil spring K between two sliders and the leaf spring L between a slider and the background plate and denoted by s=K/L. The s is not a significant factor in generating the nucleation phase. The masses of the two sliders are m1 and m2, respectively. The frictional and viscous effects are specified by the static friction force, fo, the characteristic displacement, Uc, and viscosity coefficient, h, respectively. Numerical simulations show that friction and viscosity can both lengthen the natural period of the system and viscosity increases the duration time of motion of the slider. Higher viscosity causes lower particle velocities than lower viscosity. The ratios g=h2/h1, f=fo2/fo1, y=Uc2/Ucl, and m=m2/m1 are four important factors in influencing the generation of a nucleation phase. When s>0.17, g>1, 1.15>f>1, y<1, and m<30, simulation results exhibit the generation of nucleation phase on slider 1 and the formation of P wave on slider 2. The results are consistent with the observations and suggest the possibility of generation of nucleation phase on a sub-fault. Results exhibit independence of P wave at slider 2 on the shape and duration time of nucleation phase at slider 1.

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Section: Discussionsupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Can the Nucleation Phase be Generated on a Sub-fault Linked to the Main Fault of an Earthquake?

Wang

2023

Annals of Geophysics

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“…Kawamura et al. (2018) applied a 1‐D multidegree of freedom spring‐slider model with

{d}_{c}={10}^{-2}\,\mathrm{m}

to reproduce various types of fault slip, such as fast slip, source nucleation, aftershock, and SSE. Our analysis of the tidal response during ETS also supports

{d}_{c}

with the order of

{10}^{-1\sim -2}\,\mathrm{m}

.…”

Section: Discussionmentioning

confidence: 99%

Frictional and Hydraulic Properties of Plate Interfaces Constrained by a Tidal Response Model Considering Dilatancy/Compaction

Sakamoto

Tanaka

2022

JGR Solid Earth

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Recent geodetic and seismological observations have revealed that slow earthquakes occur in the transition zone, which is located at the deeper extension of the locked megathrust zone in a subduction zone. Slow earthquakes have various timescales, which are classified into low-frequency earthquakes (LFEs) with a major frequency of 𝐴𝐴 2 − 8 Hz (Obara, 2002), tectonic tremors, which are aggregations of LFEs (Shelly et al., 2007b), very low-frequency earthquakes (VLFEs) with a major frequency of 𝐴𝐴 20 − 200 Hz (Ito et al., 2007), and slow slip events (SSEs), which do not radiate seismic waves and continue to slip for more than a few days (Dragert et al., 2001;Hirose et al., 1999). The focal mechanism of these slow earthquakes indicates that they accommodate shear slip on the plate interface (e.g., Ide et al., 2007;Shelly et al., 2006). This focal mechanism coincides with that of ordinary earthquakes, which are caused by fast slip. It is well known that the fast slip behavior of an ordinary earthquake reflects the physical properties of the fault, which consist of friction, effective normal stress and dilatancy/compaction (e.g.,

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“…Recent studies by Ueda et al revealed that the BK model under the RSF law could describe a slow nucleation process preceding the high-speed rupture of a main shock [41,42], which is not describable by the BK model under the simple velocity-weakening law. Furthermore, recent studies by Kawamura, Yamamoto and Ueda have revealed that the BK model under the RSF law can also describe the slow-slip phenomena including afterslips and silent earthquakes [43] (see also [44]). Afterslips are a long-lasting slow-slip process which takes place following the high-speed rupture of main shock, while silent earthquakes are a slow-slip-only process not accompanying any high-speed rupture nor emission of seismic waves.…”

Section: Introductionmentioning

confidence: 99%

Nature of the high-speed rupture of the two-dimensional Burridge–Knopoff model of earthquakes

Kawamura

Yoshimura

Kakui

2018

Phil. Trans. R. Soc. A.

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The nature of the high-speed rupture or the main shock of the Burridge-Knopoff spring-block model in two dimensions obeying the rate-and-state dependent friction law is studied by means of extensive computer simulations. It is found that the rupture propagation in larger events is highly anisotropic and irregular in shape on longer length scales, although the model is completely uniform and the rupture-propagation velocity is kept constant everywhere at the rupture front. The manner of the rupture propagation sometimes mimics the successive ruptures of neighboring "asperities" observed in real large earthquakes. Large events tend to be unilateral, with its epicenter lying at the rim of its rupture zone. The epicenter site is also located next to the rim of the rupture zone of some past event. Event-size distributions are computed and discussed in comparison with those of the corresponding one-dimensional model. The magnitude distribution exhibits a powerlaw behavior resembling the Gutenberg-Richter law for smaller magnitudes, which changes over to a more characteristic behavior for larger magnitudes. The behavior of the rupture length for larger events is discussed in terms of the strongly anisotropic rupture propagation of large events reflecting the underlying geometry.

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Slow-Slip Phenomena Represented by the One-Dimensional Burridge–Knopoff Model of Earthquakes

Cited by 5 publications

References 24 publications

Can the Nucleation Phase be Generated on a Sub-fault Linked to the Main Fault of an Earthquake?

Can the Nucleation Phase be Generated on a Sub-fault Linked to the Main Fault of an Earthquake?

Frictional and Hydraulic Properties of Plate Interfaces Constrained by a Tidal Response Model Considering Dilatancy/Compaction

Nature of the high-speed rupture of the two-dimensional Burridge–Knopoff model of earthquakes

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