Fractal properties of the distribution of earthquake hypocenters

  title={Fractal properties of the distribution of earthquake hypocenters},
  author={Hisao Nakanishi and Muhammad Sahimi and Michelle C. Robertson and Charles C. Sammis and Mark D. Rintoul},
  journal={Journal De Physique I},
We investigate a recent suggestion that the spatial distribution of earthquake hypocenters makes a fractal set with a structure and fractal dimensionality close to those of the backbone of critical percolation clusters, by analyzing four different sets of data for the hypocenter distributions and calculating the dynamical properties of the geometrical distribution such as the spectral dimension d s . We find that the value of d s is consistent with that of the backbone, thus supporting further… 

Tables from this paper

Fractal analysis of three‐dimensional spatial distributions of earthquakes with a percolation interpretation
Although many studies have shown that faults and fractures are self-similar over a large range of scales, none have tested the fault structure for self-similarity in three dimensions. In this study,
Turbulencelike behavior of seismic time series.
A stochastic analysis of Earth's vertical velocity time series by using methods originally developed for complex hierarchical systems and, in particular, for turbulent flows reveals a pronounced transition in their probability density function from Gaussian to non-Gaussian.
Lévy flights and earthquakes
Levy flights representation is proposed to describe earthquake characteristics like the distribution of waiting times and position of hypocenters in a seismic region. Over 7500 microearthquakes and
Anomalous fluctuations of vertical velocity of Earth and their possible implications for earthquakes.
Analysis of data for V_{z} for 12 earthquakes in several regions around the world, including the recent catasrophic one in Haiti, supports the hypothesis that before and near the time of an earthquake, the shape of the PDF undergoes significant and discernable changes, which can be characterized quantitatively.
Seismic Cycles and the Evolution of Stress Correlation in Cellular Automaton Models of Finite Fault Networks
Abstract—A cellular automaton is used to study the relation between the structure of a regional fault network and the temporal and spatial patterns of regional seismicity. Automata in which the cell
Continuous time random walks and south Spain seismic series
Lévy flights were introduced through the mathematical research of thealgebra or random variables with infinite moments. Mandelbrot recognizedthat the Lévy flight prescription had a deep connection
Radiative transfer theory for the fractal structure and power-law decay characteristics of short-period seismograms
S U M M A R Y For short period S-wave seismograms of an earthquake, the maximum amplitude decreases according to a power of traveltime, and the coda amplitude also decreases according to a power of
A precise characterization of three-dimensional percolating backbones
The backbones of three-dimensional critical percolation clusters are extracted and the fractal dimension is accurately calculated using various mass-scaling and box-counting techniques to be
Short-Term Prediction of Mediumand Large-Size Earthquakes Based on Markov and Extended Self-Similarity Analysis of Seismic Data
We propose a novel method for analyzing precursory seismic data before an earthquake that treats them as a Markov process and distinguishes the background noise from real fluctuations due to an
Variation of downdip limit of the seismogenic zone near the Japanese islands: implications for the serpentinization mechanism of the forearc mantle wedge
Abstract It has been proposed that the downdip limit of interplate thrust-type earthquakes in subduction zones (DLT) is determined either by the brittle–ductile transition around ∼350–450 °C of the


Universality of the spectral dimension of percolation clusters
We have calculated, via an extensive Monte Carlo simulation, the spectral dimension d of infinite percolation clusters, at different Euclidean dimensions 2 ~ d ~ 6 and d = ~. d is extracted from the
Introduction to percolation theory
Preface to the Second Edition Preface to the First Edition Introduction: Forest Fires, Fractal Oil Fields, and Diffusion What is percolation? Forest fires Oil fields and fractals Diffusion in
Fractal Geometry of Nature
This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
Fractal Geometry of Nature
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
In Palfreyman & Tapper (2014) ‘Reshaping the University: The Rise of the Regulated Market in Higher Education’ (Oxford University Press) we have tried to explain how English HE has reached the
  • 64, 851 (1991); see also M. Sahimi and S. Arbabi, J. Stat. Phys. 62, 453
  • 1991
Introduction to Percolation Theory (Taylor and Francis
  • 1992
  • Rev. Lett. 68, 1244
  • 1992
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1992