A correlation between the<i>b</i>-value and the fractal dimension from the aftershock sequence of the 1999 Chi-Chi, Taiwan, earthquake

Chen, Chien Chih; Wang, Wei Chien; Chang, Young Fo; Wu, Yih‐Min; Lee, Yuan Hsi

doi:10.1111/j.1365-246x.2006.03230.x

Cited by 49 publications

(27 citation statements)

References 28 publications

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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 Energycontrasting

confidence: 56%

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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Section: Relation Of Frequency Versus Magnitude As Well As Energycontrasting

confidence: 56%

One-Dimensional Dynamical Modeling of Earthquakes: A Review

Wang

2008

Terr. Atmos. Ocean. Sci.

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“…A group of deeper aftershocks with two moderate events (M L = 6.3 and 6.0, respectively) exhibits a conjugate-fault system in the southern part of the source area, that is, a westward-dipping fault related to the two moderate aftershocks is conjugate to the eastward-dipping Chelungpu fault. Chen et al (2006) correlated the b-value to the fractal dimension (cf. Mandelbrot 1982;Lee 1996, 1997;Turcotte 1997), D, of hypocenters of aftershocks.…”

Section: The Chi-chi Earthquakes Of 20 September 1999mentioning

confidence: 99%

“…Nevertheless, they cannot rule out the possibility that the bursts originated from some non-seismic sources. Chen et al (2006) assumed that the bursts originated on the Chelungpu fault plane. This assumption makes the bursts unable be observable at this distance, assuming any reasonable value of crustal attenuation.…”

Section: The Pingtung Offshore Earthquake Doublets Of 26mentioning

confidence: 99%

“…This assumption makes the bursts unable be observable at this distance, assuming any reasonable value of crustal attenuation. Based on the local origin, Chen et al (2006) estimated an average magnitude of M w 0.2 for local events and a source-receiver distance of approximately 1 km. Chen et al (2006) extended the technique as used by Fischer et al (2008) to lower stress levels by analyzing records from a smaller (M w 5.3) event.…”

Section: The Pingtung Offshore Earthquake Doublets Of 26mentioning

confidence: 99%

“…Based on the local origin, Chen et al (2006) estimated an average magnitude of M w 0.2 for local events and a source-receiver distance of approximately 1 km. Chen et al (2006) extended the technique as used by Fischer et al (2008) to lower stress levels by analyzing records from a smaller (M w 5.3) event. For this event, bursts are observed only on the accelerograms from stations relatively close to the mainshock hypocenter.…”

Section: The Pingtung Offshore Earthquake Doublets Of 26mentioning

confidence: 99%

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Studies on Aftershocks in Taiwan: A Review

Chen¹,

Leu²,

Chang³

2016

Terr. Atmos. Ocean. Sci.

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We reviewed studies on aftershocks in Taiwan for the following topics: the spatial-temporal distributions and focal-plane solutions of aftershocks fromof thirty larger earthquakes with magnitudes > 5; the correlations between the mainshock and the largest aftershock based on dependence of the differences in magnitudes (∆M), occurrence times (∆T), epicenters (∆H), and focal depths (∆D) upon the mainshock magnitude, M m ; magnitude-dependence of p-value of Omori's law of aftershocks; the correlation between the b-value of the Gutenberg-Richter's frequency-magnitude law and the p-value; application of the epidemic-type aftershock sequences (ETAS) model to describe the aftershock sequence; the mechanisms of triggering aftershocks; and dynamic modeling of aftershocks. The main results are: (1) The spatial distribution of aftershocks for some earthquakes is consistent with the recognized fault; (2) Unlike Båth's law, ∆M slightly increases with M m ; (3) ∆T does not correlate with M m ; (4) ∆D does not correlate with M m ; (5) ∆T somewhat increases with ∆D; (6) The p-value slightly increases with M m ; (7) There is a negative correlation between the b-and p-values. (8) There was seismic quiescence over a broader region of Taiwan before the 1999 Chi-Chi earthquake; (9) Both the static and dynamic stress changes trigger aftershocks; and (10) Dynamic modeling shows that a decrease in elastic modulus is a significant factor in triggering aftershocks.

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Microseismic Data Interpretation

Akram¹

2020

Understanding Downhole Microseismic Data Analysis

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A correlation between theb-value and the fractal dimension from the aftershock sequence of the 1999 Chi-Chi, Taiwan, earthquake

Cited by 49 publications

References 28 publications

One-Dimensional Dynamical Modeling of Earthquakes: A Review

One-Dimensional Dynamical Modeling of Earthquakes: A Review

Studies on Aftershocks in Taiwan: A Review

Microseismic Data Interpretation

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