Fractal and chaotic properties of earthquakes

Goltz, Christian

doi:10.1007/bfb0028316

Cited by 62 publications

(84 citation statements)

References 119 publications

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“…31, L21612, doi:10.1029/2004GL020892, 2004 Copyright 2004 by the American Geophysical Union. 0094-8276/04/2004GL020892 structure, possibly multifractal as proposed by Hirabayashi et al [1992] and Goltz [1998].…”

Section: Introduction: Scaling Laws In Seismicitymentioning

confidence: 89%

Are seismic waiting time distributions universal?

Davidsen

Goltz

2004

Geophysical Research Letters

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112

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[1] We show that seismic waiting time distributions in California and Iceland have many features in common as, for example, a power-law decay with exponent a % 1.1 for intermediate and with exponent g % 0.6 for short waiting times. While the transition point between these two regimes scales proportionally with the size of the considered area, the full distribution is not universal and depends in a non-trivial way on the geological area under consideration and its size. This is due to the spatial distribution of epicenters which does not form a simple mono-fractal. Yet, the dependence of the waiting time distributions on the threshold magnitude seems to be universal.

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Section: Introduction: Scaling Laws In Seismicitymentioning

confidence: 89%

Are seismic waiting time distributions universal?

Davidsen

Goltz

2004

Geophysical Research Letters

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112

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“…Goltz, 1997), there have been few reports on the use of fractal spectral change as a precursor to EQs (Jiang, 1993;Hirabayashi et al, 1992). Jiang (1993) was interested in the change of multi-fractal parameters for moderately large EQs, and he concluded that the…”

Section: The Importance Of Fractal Analysis In the Nonlinear Process mentioning

confidence: 99%

Fractal analysis of ULF electromagnetic emissions in possible association with earthquakes in China

Ida

Yang

et al. 2012

Nonlin. Processes Geophys.

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Abstract. The long-term data (during the period of 1 March 2003 through 31 December 2006) of ULF geomagnetic variations observed at Kashi station (geographic coordinates: 39.5 • N, 76.0 • E) in China have been used to investigate the long-term variation of fractal dimension of ULF emissions. We have studied the changes in fractal dimension in association with several earthquakes around the observation station. It is then found that a significant change (or decrease) in the fractal dimension of the Z component took place before the 1 September 2003 earthquake, which lends a further support to our previous finding based on our improved polarization analysis for the same earthquake. The results obtained are discussed in the contexts of a few aspects (detectability of seismogenic emissions, comparison with previous results by other analysis methods, the importance of fractal analysis in the nonlinear process of the lithosphere and earthquake prediction).

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“…Fractal studies define the self-similarity of a geometrical object. A further generalization leads to the correlation dimension Dc which is not based on a covering of the regarded set, but on the distances between pairs of points of the set (Goltz, 1998). Fractal distributions are the only distributions which do not include a typical length scale, and so, can be practicable to scale invariant phenomena.…”

Section: Fractal Dimension (Correlation Dimension -Value)mentioning

confidence: 99%

Spatial and temporal analysis of recent seismicity in different parts of the Vlora-Lushnja-Elbasani-Dibra Transversal Fault Zone, Albania

Ormeni¹,

Öztürk²,

Fundo³

et al. 2018

AJES

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Spatial and temporal evaluation of current seismic activity throughout the Vlora-Lushnja-Elbasani-Dibra (VLED) transversal fault zone were carried out at the beginning of year 2016. The seismotectonic b-value, fractal dimension Dc-value and precursory seismic quiescence Z-value are considered for a detailed statistical analysis. Completeness magnitude Mc-value varies from 2.5 to 2.7 for different parts of the VLED fault zone. The b-value is calculated as 1.10±0.04 for the south western part and 1.13±0.05 for the middle part, whereas it is estimated as 0.94±0.07 for the north eastern part of the study region. These results reveal that b-values for all regions are well represented by a b-value typically close to 1.0. There are clear decreasing trends in temporal changes of b-values before the occurrences of some strong main shocks. On the contrary, no earthquakes are observed in some periods after decrease of b-value. Dc-values are computed as 2.66±0.04 for the south western part, 2.64±0.03 for the middle part and 2.15±0.02 for the north eastern part of the VLED fault zone. These rather large values show that earthquake activity is more clustered at larger scales or in smaller areas in the study area.Considering the phenomenon of seismic quiescence as a precursor of the main earthquakes gives successful outcomes in defining the potential anomalies and possible locations of future earthquakes. Quiescence analysis of current seismicity at the beginning of 2016 in the VLED fault zone is performed with the test of standard normal deviate Z-value. Distributions of resulting Z-values show six anomalous regions along the different parts of the VLED fault zone. These quiescence areas are detected at (i) 40.81ºN-19.86ºE (including Kuc-Bubullim, southeast of Lushnja town), (ii) 41.00ºN-20.01ºE (in the Cerriku, south of Elbasani town), (iii) 41.31ºN-20.13ºE (around Bene-Qafe, northeast of Elbasani town), (iv) 41.43ºN-20.21ºE (Krasta-Batra, south of Bulqiza town), (v) 41.28ºN-20.49ºE (including Carrishta-Stebleve, northeast of Librazhdi town), (vi) 41.51ºN-20.51ºE (including Qerrenec-Gjorica, west of Dibra town). As an important result, analyses of spatial and temporal characteristics of the earthquake activity may supply significant clues for revealing the future seismic hazard along the VLED fault zone, and these anomaly regions may be interpreted as the locations of next possible earthquakes.

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Fractal and chaotic properties of earthquakes

Cited by 62 publications

References 119 publications

Are seismic waiting time distributions universal?

Are seismic waiting time distributions universal?

Fractal analysis of ULF electromagnetic emissions in possible association with earthquakes in China

Spatial and temporal analysis of recent seismicity in different parts of the Vlora-Lushnja-Elbasani-Dibra Transversal Fault Zone, Albania

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