No abstract

Reinterpretation of field studies of bedload transport allowed some power-law relations to be obtained between different quantities. They were taken as a basis for the construction of a numerical model simulating bedload transport. The deposition-erosion process is presented as a sequence of individual events with intensities distributed according to a power law, characteristic of the regime of self-organized criticality. The model output (sedimentary cross sections with the model age of each of its elements) is rich in features resulting from the non-linearity of the underlying process. Analysis of the results of a series of numerical experiments provided an estimation of scale invariance of model sedimentary structures in space and time. These data are tested against observed regularities of spaciotemporal variability of real sedimentary sequences. Good agreement of these data makes it possible to extrapolate the scaling relations obtained to larger scales.

Abstract. The history of reversals of main geomagnetic field during last 160 My is analyzed as a sequence of events, presented as a point set on the time axis. Different techniques were applied including the method of boxcounting, dispersion counter-scaling, multifractal analysis and examination of attractor behaviour in multidimensional phase space. The existence of a crossover point at time interval 0.5-1.0 My was clearly identified, dividing the whole time range into two subranges with different scaling properties. The long-term subrange is characterized by monofractal dimension 0.88 and by an attractor, whose correlation dimension converges to 1.0, that provides evidence of a deterministic dynamical system in this subrange, similar to most existing dynamo models. In the short-term subrange the fractal dimension estimated by different methods varies from 0.47 to 0.88 and the dimensionality of the attractor is obtained to be about 3.7. These results are discussed in terms of non-linear superposition of processes in the Earth's geospheres.

No abstract

No abstract