A study of rupture length vs. moment for synthetic earthquakes

Wang, Jeen-Hwa

doi:10.1007/bf00878632

Cited by 6 publications

(4 citation statements)

References 28 publications

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“…Cowie et al (1993), Gudmundsson (1987), Henderson et al (1994), Marrett (1994), Marrett and Allmendinger (1991), Sahimi et al (1993) (Carlson and Langer, 1989;Carlson et al, 1991;Knopoff et al, 1992;de Sousa Vieira et al, 1993;Wang, 1994Wang, , 1995aWang, , 1996Xu and Knopoff, 1994), the source rupture duration (Carlson et al, 1991;Wang, 1993), the relation between rupture length and earthquake moment (Carlson et al, 1991;Wang 1995b), seismicity patterns (Shaw et al, 1992;Pepke et al, 1994), and the scaling of source spectra (Shaw, 1993). In addition, a simplified form of the 1-D BK model and its two-dimensional (2-D) extension were also used for seismicity simulations based on the cellular automaton concept (cf.…”

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confidence: 99%

On the Frequency Distribution of Rupture Lengths of Earthquakes Synthesized from a One-Dimensional Dynamical Lattice Model.

Wang

1997

J,Phys,Earth

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A one-dimensional BK dynamical lattice model (Burridge and Knopoff, 1967) is applied to simulate earthquakes for the study of the scaling relation between frequency and rupture length of earthquakes. Velocity-dependent friction controls the motion of mass elements. The distribution of the breaking strengths (i.e., static friction) is considered to be a fractal function. Simulation results show that the fractal dimension of the distribution of the breaking strengths is a minor factor in affecting the scaling of frequency versus rupture length. A fast velocity-weakening process from static friction to dynamic friction and a slow velocity-hardening one from dynamic friction to static friction are appropriate for interpreting the scaling of the frequency-rupture length (FL) relation. The frictional drop rather than the level of the breaking strength affects the FL scaling. Hence, the friction drop ratio (g) which determines the minimum value of the dynamic frictional force, is an important factor in influencing the FL relation. Smaller g (which a large friction drop) leads to a smaller scaling exponent value in the regime of localized events than larger g (with a smaller friction drop). The stiffness ratio, which is defined as the ratio of the stiffness of the coil spring to that of the leaf spring of the model, is also a significant parameter affecting the FL distribution. Nevertheless, simulation results show that small s is unable to produce a power-law FL relation.

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confidence: 99%

On the Frequency Distribution of Rupture Lengths of Earthquakes Synthesized from a One-Dimensional Dynamical Lattice Model.

Wang

1997

J,Phys,Earth

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“…The simulated M o '~L distribution for intermediate-size events, cannot be interpreted by using a single power-law function. Wang (1995b) reported that only the rapidly velocity-weakening process can produce a well-defined power-law M o '-L relation. He also found that the degree of dissipation of energy cannot change this scaling law.…”

Section: Modelingmentioning

confidence: 99%

A review on scaling of earthquake faults

Wang

2018

Terr. Atmos. Ocean. Sci.

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Scaling of earthquake faults is important not only for earthquake physics but also seismic hazard assessment. There have been many studies about this topic. It is significant to compile, review, and discuss those studies. This work reviews the observations and modeling of scaling of fault parameters, including the fault length (L), fault width (W), fault area (A), average displacement (D o), maximum displacement (D max), seismic moment (M o), and static stress drop (Δσ). Major issues for reviewing in this work are: (1) assumptions of constant Δσ, of earthquakes and self-similarity of faults; (2) the Land W-models; (3) the L-D o and L-D max scaling relationships; (4) the M o-D o and M o-D max scaling relationships; (5) the D o-A scaling relationships; (6) the M o-A scaling relationships; (7) the L-W scaling relationship; (8) the M o-L and M o-W scaling relationships; and (9) modeling of the M o-L scaling based on the onedimensional spring-slider model in the presence of velocity-weakening friction.

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“…As a result, the M' is not given by any single power law of L throughout the entire range of fault lengths. Based on the 1-D BK model, Wang (1995b) studied the M' -L relation. His definition of seismic moment is similar to that used by Carlson et al (1991).…”

Section: Relation Of Rupture Length Versus Earthquake Momentmentioning

confidence: 99%

“…The stiffness ratio s is not a significant factor in affecting the scaling relation. Wang (1995b) stressed that the stiffness ratio is a parameter representing the level of energy conservation or the degree of dissipation of energy. Hence, the independence of the M' -L relation on the stiffness ratio shows that the degree of dissipation of energy cannot change this scaling law.…”

Section: Relation Of Rupture Length Versus Earthquake Momentmentioning

confidence: 99%

One-Dimensional Dynamical Modeling of Earthquakes: A Review

Wang

2008

Terr. Atmos. Ocean. Sci.

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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.

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A study of rupture length vs. moment for synthetic earthquakes

Cited by 6 publications

References 28 publications

On the Frequency Distribution of Rupture Lengths of Earthquakes Synthesized from a One-Dimensional Dynamical Lattice Model.

On the Frequency Distribution of Rupture Lengths of Earthquakes Synthesized from a One-Dimensional Dynamical Lattice Model.

A review on scaling of earthquake faults

One-Dimensional Dynamical Modeling of Earthquakes: A Review

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