The sequence of magnitudes of the earthquakes occurred in Kachchh area (Gujarat, Western India) from 2003 to 2012, has been analysed by using the multifractal detrended fluctuation analysis. The complete and the aftershock-depleted catalogues with minimum magnitude M3 were investigated. Both...

A stochastic geometrical modeling technique is used to reconstruct a laboratory scale Fontainebleau sandstone with a sidelength of 1.5 cm. The model reconstruction is based on crystallite properties and diagenetic parameters determined from two-dimensional images. The three-dimensional pore...

Reduction in the scaling exponent of the frequency–magnitude power law of regional seismic activity as a precursor to sizable earthquakes has been widely documented and debated. Recently, postulation based on a modified sand-pile model has been proposed as a plausible explanation. The model...

Reduction in b-values before a large earthquake is a very popular topic for discussion. This study proposes an alternative sandpile model being able to demonstrate reduction in scaling exponents before large events through adaptable long-range connections. The distant connection between two...

Newly obtained data on the critical dynamics of the drifting/fracturing sea ice in the Arctic Ocean were analyzed and compared with published data on the dynamic processes in the Earth’s crust. Substantial similarities were found in the scaling behavior of both geophysical systems; the most...

The Bak–Sneppen model of co-evolution is used to derive synthetic time series with a priori specified fractal dimension (or Hurst exponent) through a mixing of processes in various lattice dimensions. Both theoretical and numerical analyses concern the avalanches at the critical threshold and...

Two-dimensional spring square network model involving the nearest and second neighbour bonds is studied by numerical simulation with Gauss–Seidel iteration for brittle fracture Mode I. The material-dependent parameter, G0/G, is introduced in this simulation, and G and G0 are the parameters...

An algorithm for calculating generalized fractal dimension of a time series using the general information function is presented. The algorithm is based on a strings sort technique and requires O(Nlog2N) computations. A rough estimate for the number of points needed for the fractal dimension...

The equilibrium Lame equation in two-dimensional and three-dimensional spaces can be presented as conductivity in magnetic field equation, with Lorenz force expression. This allows us to apply the perturbation theory and generalize the Lame equation, and obtain a new equilibrium equation with...