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| Titel |
Fractal Structure of inter-event distances: three examples for the aftershock series of Landers, Northridge and Hector Mine mainshocks (Southern California) |
| VerfasserIn |
Maria-Dolors Martinez, Marisol Monterrubio, Xavier Lana, Carina Serra |
| Konferenz |
EGU General Assembly 2013
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 15 (2013) |
| Datensatznummer |
250074345
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| Zusammenfassung |
| The mechanism of the complex spatial distribution of aftershocks is illustrated by several
fractal analyses of the series of distances, Δ, between consecutive events. These fractal
techniques are applied to inter-event distance series corresponding to the aftershock series of
Landers (1992), Northridge (1994) and Hector Mine (1999) mainshocks (Southern
California). A first picture of this complex mechanism is offered by the concept of lacunarity.
The persistence, anti-persistence or randomness is quantified by the Hurst exponent. At the
same time, long/short range persistence or anti-persistence is determined by means of
the autocorrelation function and the exponent β of the power spectrum density,
S(Ï), modelled by the power law Ï-β. The self-affine character of these series is
analysed using semivariograms and Hausdorff exponents. Additionally, comparisons
among Hurst, Hausdorff and β exponents permit to assess if the series of Δ could be
modelled by filtered Gaussian noise series. Finally, the formulation based on the
reconstruction theorem quantifies the complexity (minimum number of nonlinear
equations), loss of memory (Kolmogorov entropy) and predictive instability and chaotic
behaviour (Lyapunov exponents and Kaplan-Yorke dimension) of the mechanism. |
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