Multifractal measures of earthquakes in west Taiwan

Lee, Chung-Wein

doi:10.1007/bf00876673

Cited by 32 publications

(22 citation statements)

References 13 publications

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“…Several papers are related to this item (Sadovsky et al, 1984;Okubo and Aki, 1987;Geilikman et. al, 1990;Hirata and Imoto, 1991;Hirakashi et al, 1992;Turcotte, 1993;Wang and Lee, 1996;Lapenna et al, 2000). However, only few papers are reported, where the dynamics of fractal properties of seismicity were studied before strong earthquakes.…”

Section: Introductionmentioning

confidence: 99%

The pecularities of shear crack pre-rupture evolution and distribution of seismicity before strong earthquakes

Kiyashchenko

Troyan

2001

Nat. Hazards Earth Syst. Sci.

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Abstract. Several methods are presently suggested for investigating pre-earthquake evolution of the regions of high tectonic activity based on analysis of the seismicity spatial distribution. Some precursor signatures are detected before strong earthquakes: decrease in fractal dimension of the continuum of earthquake epicenters, cluster formation, concentration of seismic events near one of the nodal planes of the future earthquake, and others. In the present paper, it is shown that such peculiarities are typical of the evolution of the shear crack network under external stresses in elastic bodies with inhomogeneous distribution of strength. The results of computer modeling of crack network evolution are presented. It is shown that variations of the fractal dimension of the earthquake epicenters' continuum and other precursor signatures contain information about the evolution of the destruction process towards the main rupture.

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Section: Introductionmentioning

confidence: 99%

The pecularities of shear crack pre-rupture evolution and distribution of seismicity before strong earthquakes

Kiyashchenko

Troyan

2001

Nat. Hazards Earth Syst. Sci.

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“…5, he concluded that the b-value is not noticeably dependent upon fractal dimension. This result is different from the theoretical speculation by Aki (1981) and by Turcotte (1986a, b) and from observations (Hirata 1989;Wang and Lee 1996;Chen et al 2006). A possible reason for the difference might be that Wang (1991) considered a fractal distribution of the breaking strengths of the fault, while the others applied a fractal geometrical structure of the fault plane.…”

Section: Relation Of Frequency Versus Magnitude As Well As Energymentioning

confidence: 55%

“…Aki ( Hirata (1989) and Wang and Lee (1996) reported a negative correlation between the two parameters for earthquakes in Japan and Taiwan, respectively. Hirata (1989) stated that Aki's fractal dimension of the geometry of fault planes is a special case of the capacity dimension of asperity or barrier distribution, in which all asperities or barriers are connected to each other without isolation.…”

Section: Relation Of Frequency Versus Magnitude As Well As Energymentioning

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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“…2. This division is not arbitrary; rather it is based on geological boundaries (Wang 1988;Wang and Lee 1996). The number of earthquakes in each region is: 45646 in A; 50164 in B; 21015 in C, and 27327 in D.…”

Section: Resultsmentioning

confidence: 99%

A Study of the Unified Scaling Law of Earthquakes in the Taiwan Region

Tsai¹,

Shieh²

2008

Terr. Atmos. Ocean. Sci.

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The unified scaling law (also called the BCDS model), merges: (1) Omori's Law, (2) Gutenberg-Richter's law, and (3) the geometrical fractal distribution of epicenters, all of which, in combination, investigate the occurrence of earthquakes from a spatial-temporal perspective. This study plans to verify important questions arising from the definition of the BCDS model by doing three experiments. Firstly, we examine the feasibility of applying this model to Taiwan using different cell sizes and cut-off magnitudes. Secondly, we ascertain the difference between aftershocks and main shocks in a unified scaling law by comparing earthquake time sequences with declustered ones. Thirdly, we investigate the differences among scaling relationships obtained from various geological settings in Taiwan.Our results show that no matter how cell size and cut-off magnitude change, they produce a very similar pattern symbolizing the scaling law. Using a Z-map, after declustering, the constant part, which is an apparent indicator of the characteristics of aftershocks, disappears, and the slope of the fast decaying part, which corresponds to the main shock, remains almost the same. In addition, scaling laws obtained from four different sub-regions in Taiwan, although slightly different to each other, all show to be of a similar scaling law.

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Multifractal measures of earthquakes in west Taiwan

Cited by 32 publications

References 13 publications

The pecularities of shear crack pre-rupture evolution and distribution of seismicity before strong earthquakes

The pecularities of shear crack pre-rupture evolution and distribution of seismicity before strong earthquakes

One-Dimensional Dynamical Modeling of Earthquakes: A Review

A Study of the Unified Scaling Law of Earthquakes in the Taiwan Region

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