Fractal Dimension of Braided Rivers from Detailed Two-Dimensional Hydrodynamic Simulations

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13th Chaotic Modeling and Simulation International Conference (CHAOS 2020)

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Abstract

As opposed to meandering or channelized fluvial beds, braided rivers are characterized by a morphological activity starting at very low flows, since fluxes are concentrated in a limited number of small channels. With increasing discharge, more channels are involved, up to the situation in which the complete alluvial plain is flooded. As a consequence, there is an intermediate range of flows for which pattern complexity is maximum and braided indices are highest, representing essential conditions for the coexistence of a large variety of habitats and for ecosystems prosperity. In this paper, a new methodology for a quantitative assessment of the complexity of braided rivers at a reach scale is introduced. It is based on the application of the box-counting algorithm to flooded areas identified through a two-dimensional (shallow water) hydrodynamic simulation model, in order to derive an estimate of the fractal dimension with varying flow rate. The identification of the range of discharges for which the fractal dimension is highest is of particular importance in river restoration projects. An application to the River Tagliamento (North-East Italy) is illustrated.

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Acknowledgements

The author wishes to thank Regione Autonoma Friuli Venezia Giulia (www.regione.fvg.it), the Friulian Plain Bureau of Reclamation (Consorzio di bonifica Pianura Friulana, www.bonificafriulana.it) and the International Centre of Mechanical Sciences (www.cism.it) for their support and the provision of materials and data related to River Tagliamento.

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Correspondence to Matteo Nicolini .

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Nicolini, M. (2021). Fractal Dimension of Braided Rivers from Detailed Two-Dimensional Hydrodynamic Simulations. In: Skiadas, C.H., Dimotikalis, Y. (eds) 13th Chaotic Modeling and Simulation International Conference. CHAOS 2020. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-70795-8_45

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