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Traitement et analyse de séries chronologiques continues de ...

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Treatment and analysis of continuous turbidities series for the test of urban<br />

stormwater quality mo<strong>de</strong>ls<br />

Abstract<br />

Few storm water quality mo<strong>de</strong>ls are currently used for operational purposes. Nevertheless,<br />

more and more urban water managers are tackling this issue. This work, carried out in<br />

partnership with the INSA Lyon and the engineering consulting company SAFEGE, is such an<br />

example of this interest.<br />

Current research works focus on parsimonious mo<strong>de</strong>lling approaches that match the amount<br />

of data available for calibration. Two types of reality representation are proposed: global<br />

approaches at the catchment scale or mo<strong>de</strong>ls with a simplified representation of sewer<br />

processes. Moreover uncertainties analysis now appears as an integrated step and a powerful<br />

tool in mo<strong>de</strong>ls testing. Bayesian approach allows such type of analysis that improves our<br />

knowledge on mo<strong>de</strong>ls structure.<br />

In parallel, <strong>de</strong>velopment of in sewer continuous measurements based on spectrom<strong>et</strong>ry and<br />

turbidim<strong>et</strong>ry techniques, provi<strong>de</strong>s large data base of continuous total suspen<strong>de</strong>d solids (TSS)<br />

and chemical oxygen <strong>de</strong>mand (COD) concentrations. Much information on pollutant fluxes<br />

dynamics at short time steps can be provi<strong>de</strong>d.<br />

To our knowledge, this research work is one of the first studies in urban hydrology based on<br />

a large turbidity database. Two sites are implemented next to Lyon, France: Chassieu (separated<br />

sewer) and Ecully (combined sewer), with measurements over the period 2004-2008. The first<br />

two objectives of this work were validation and analysis of the existing database. The third<br />

objective was to test multi-regression and Accumulation-Erosion-Transfer mo<strong>de</strong>lling<br />

approaches, with this new database. Semi-automatic treatment and data analysis tools have been<br />

used for this purpose. In the meantime, a <strong>de</strong>ep bibliographic work on uncertainties analysis<br />

m<strong>et</strong>hods and mo<strong>de</strong>ls test has been carried out.<br />

263 and 239 stormwater events were selected for the mo<strong>de</strong>lling work, namely for Chassieu<br />

and Ecully. Data analysis provi<strong>de</strong>d insights for making assumptions on the pollutant fluxes<br />

generation and proposing adapted mo<strong>de</strong>ls. Test of multi-regression approach confirmed<br />

conclusions of previous research works: it is necessary to build local approaches based on<br />

d<strong>et</strong>ailed data analysis.<br />

Mo<strong>de</strong>ls that were obtained for event mean concentrations poorly reproduced observed data.<br />

For event mass, data variability could be reproduced in trend. However point values can not be<br />

reproduced satisfyingly. Formal Bayesian approach was used for testing a simple global<br />

Accumulation-Erosion-Transfer mo<strong>de</strong>l for Chassieu. First results evi<strong>de</strong>nced the difficulties of<br />

the mo<strong>de</strong>l to reproduce the dynamics variability. This may be due to the simple structure.<br />

However these first tests have <strong>de</strong>monstrated the efficiency of the Bayesian analysis procedure.<br />

In particular, the application of the learning principle showed that mo<strong>de</strong>l structure can be<br />

significantly and efficiently improved.<br />

Key words: Bayesian analysis, COD, data treatment, mo<strong>de</strong>lling, urban stormwater loads,<br />

TSS, turbidity

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