HR: 09:00h
AN: H21B-04 [PDF]
TI: Multifractal Prediction in Hydrology
AU: * Tchiguirinskaia, I
EM: tchiguir@ccr.jussieu.fr
AF: UMR Sysiphe
Laboratoire de Geologie Appliquee
U. Pierre et Marie Curie, Case 123
4 place Jussieu,ÿ, Paris, 75005
France
AU: Schertzer, D
EM: schertze@cereve.enpc.fr
AF: CEREVE
Ecole Nationale des Ponts et Chaussees, 6-8, avenue Blaise Pascal
Cite Descartes, Marne la Vallee, 77455 Cede
France
AU: Schertzer, D
EM: schertze@cereve.enpc.fr
AF: Meteo-Franceq, 1 Quai Branly, Paris, 75007
France
AU: Hubert, P
EM: hubert@cig.ensmp.fr
AF: UMR Sysiphe
Ecole des Mines de Paris, 35 rue Saint Honore, Fontainebleau, 77305
France
AU: Bendjoudi, H
EM: Hocine.Bendjoudi@ccr.jussieu.fr
AF: UMR Sysiphe
Laboratoire de Geologie Appliquee
U. Pierre et Marie Curie, Case 123
4 place Jussieu,ÿ, Paris, 75005
France
AU: Lovejoy, S
EM: lovejoy@physics.mcgill.ca
AF: Dept. Physics
McGill U., 3600 University St., Montreal, PQ H3A 2T8
Canada
AB:
One of the main axes of the current hydrological research and engineering is the general forecast of extreme events and the
development of new tools for their prediction, prevention and alert.
Deterministic models based on various physical and/or statist ical approaches face concrete difficulties to capture the
phenomena of extreme precipitation and discharges. The chain of 'precipitation-discharge-sedimentation' process remains even
more unresolved issue. It is well known that one of the main difficulties for the description of hydro-meteorological
extremes is the colossal variability of their intensities over a wide range of space-time scales.
To contribute to the process of hydrological forecast improvement, our group uses the multifractal framework. It allows not
only to explain the power-law fall-off of probability distributions for hydrological-meteorological extremes, but also to
explore a connection of the observed variability with the physics, so to capture the phenomena within a full hierarchy of
scales and intensities.
First of all, we analyze space-time distributions of precipitation and discharges over different hydrological regions. A
multifractal data analysis performed in the space-time domain produces - amongst other things - a physica lly-based tool for
the clear distinction and multifractal description of flash-floods.
We illustrate these methods on two recent flooding events in France: the Abbeville phreatic floods in 2001 and the flash
floods in Gard in 2002. Furthermore, after multifractal analysis of several sediment time series, we obtain first results
directed to the parameterization and prediction of the 'precipitation-discharge-sedimentation' process.
UR: http://www.multifractal.jussieu.fr
DE: 1815 Erosion and sedimentation
DE: 1821 Floods
DE: 1860 Runoff and streamflow
DE: 3200 MATHEMATICAL GEOPHYSICS (New field)
DE: 3250 Fractals and multifractals
SC: Hydrology [H]
MN: 2003 Fall Meeting