Fractal analysis of urban catchments and their representation in semi-distributed models: imperviousness and sewer system

Auguste Gires 1 Ioulia Tchiguirinskaia 1 D Schertzer 1 S. Ochoa-Rodriguez 2 P. Willems 3 Abdellah Ichiba 1 Li-Pen Wang 3 Rui Pina 2 Johan Van Assel Guendalina Bruni 4 Damian Murla Tuyls 3 Marie-Claire Ten Veldhuis 4
1 HM&Co - Hydrologie, Météorologie et Complexité
2 Department of Civil and Environmental Engineering [Imperial College London]
3 KU Leuven - Catholic University of Leuven
4 TU Delft - Delft University of Technology
Abstract : Fractal analysis relies on scale invariance and the concept of fractal dimension enables one to characterize and quantify the space filled by a geometrical set exhibiting complex and tortuous patterns. Fractal tools have been widely used in hydrology but seldom in the specific context of urban hydrology. In this paper, fractal tools are used to analyse surface and sewer data from 10 urban or peri-urban catchments located in five European countries. The aim was to characterize urban catchment properties accounting for the complexity and inhomogeneity typical of urban water systems. Sewer system density and imperviousness (roads or buildings), represented in rasterized maps of 2 m × 2 m pixels, were analysed to quantify their fractal dimension, characteristic of scaling invariance. The results showed that both sewer density and imperviousness exhibit scale-invariant features and can be characterized with the help of fractal dimensions ranging from 1.6 to 2, depending on the catchment. In a given area consistent results were found for the two geometrical features, yielding a robust and innovative way of quantifying the level of urbanization. The representation of impervious-ness in operational semi-distributed hydrological models for these catchments was also investigated by computing frac-tal dimensions of the geometrical sets made up of the sub-catchments with coefficients of imperviousness greater than a range of thresholds. It enables one to quantify how well spatial structures of imperviousness were represented in the urban hydrological models.
Type de document :
Article dans une revue
Hydrology and Earth System Sciences, European Geosciences Union, 2017, 21 (5), pp.2361-2375. 〈10.5194/hess-21-2361-2017〉
Liste complète des métadonnées

Littérature citée [43 références]  Voir  Masquer  Télécharger
https://hal-enpc.archives-ouvertes.fr/hal-01673432
Contributeur : Auguste Gires <>
Soumis le : vendredi 29 décembre 2017 - 15:32:08
Dernière modification le : mardi 13 mars 2018 - 11:54:02

Fichier

Gires_et_al_HESS_Urban_DF_Rain...
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

Collections

ENPC | PARISTECH | HMCO

Citation

Auguste Gires, Ioulia Tchiguirinskaia, D Schertzer, S. Ochoa-Rodriguez, P. Willems, et al.. Fractal analysis of urban catchments and their representation in semi-distributed models: imperviousness and sewer system. Hydrology and Earth System Sciences, European Geosciences Union, 2017, 21 (5), pp.2361-2375. 〈10.5194/hess-21-2361-2017〉. 〈hal-01673432〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

101

Téléchargements de fichiers

110

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD