Trace metals transfer in rivers: a semi-empirical formulation to describe a complex sorption desorption process to be implemented in SWAT model.

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Trace metals transfer in rivers: a semi-empirical formulation to describe a complex sorption desorption process to be implemented in SWAT model. Cyril Garneau 1, Sauvage S. 1, Probst A. 1, Lofts S. 2, Tipping E. 2, Brito D. 3, Neves R. 3, Sanchez-Perez J-M. 1 1 Université de Toulouse, CNRS, France 2 Centre for Ecology and Hydrology, Lancaster Environment Center, Bailrigg, Lancaster, U.K. 3 Maretec, Instituto Superior Técnico, University of Lisbon, Portugal

Trace Metal problematic in natural waters Exhibits a wide range of behaviour in natural waters Controlled by various environmental factors difficult to model Atmospheric deposition Mining activities Urban release and industries Geological background River = integrator of pollution 2

Transfer of trace metals in rivers Advection Dispersion Transient storage Sédimentation Érosion Dissolved phase Particulated phase Kd = TM part TM diss Physico-chemistry µg kg µg [Metal] L Nature of SS

Modelling approaches : Sorption models Trace element Free adsorption site Occupied adsorption site MINTEQA2 (Allison et al., 1991) WASP (Ambrose et al., 1993) WHAM (Tipping, 1993)

Modelling approach Different levels of modelling simplicity SWAT: the TM are fully dissolved and transported from the inlet to the outlet. Two phases separation of TM: The TM exist either in a dissolved form or in a particulate one. Two phases separation with dynamic equilibrium: The two TM phases can interact to maintain an equilibrium based on the physicochemistry. TM dissout = TM dissch V out V ch TM partch = TM partch,i + TM parteroded TM partdeposited TM partout = TM partch V out V ch TM dissch = Kd = f physico chemitry = TM part TM diss TM total ch 1 + Kd SPM TM partch = TM totalch TM diss µg kg µg L 5

Objectives Propose an alternative modelling option for trace metal Use two TM phases: dissolved and particulate Use a dynamic Kd formulation based on available variables and quantities in SWAT First step : we have to identify key parameters involved in Kd formulation 6

Complex modelling WHAM - Chemical speciation of TM - Specific reaction with organic matter - Simulates upstream river and tributaries - Watershed dynamic outputs - SPM concentration MOHID - Full St-Venant equations - Advection diffusion equations - Transient storage - Erosion deposition equations

Study case The Garonne River sector Reach of 80 km (watershed 13800 km ²) Monthly average discharge 75 to 341 m 3 /s 4 campaigns in 2005 (13 sites) Nutrients Major ions Physico-chemistry 15 Trace metals

High waters Low waters Study case Choise of two trace elements - Lead (Pb) - Arsenic (As) - Copper (Cu) + f COP = min 0,60 + 0.021; 0.24 SPM 1.0

TM concentration (µg/l) TM temporal concentration evolution Date Date 10

TM spatial concentration evolution Low waters High waters 11

Key results The particulate phase is important to describe sources and sinks of trace metals 41% of copper trapped on the riverbed 76% of lead trapped on the riverbed 12

Log10(Kd) and ph Key results Physico-chemistry influence ph Kd ld Flow (m 3.s -1 ) Kd Co Flow 13

log10(kd) log10(kd) log10(kd) log10(kd) Key results Copper Lead 5.1 5 4.9 4.8 4.7 4.6 4.5 4.4 4.3 7 7.5 8 8.5 9 9.5 ph 6.8 6.6 6.4 6.2 6 5.8 5.6 5.4 7 7.5 8 8.5 9 9.5 ph Verdun 5.1 5 4.9 4.8 4.7 4.6 4.5 4.4 4.3 0 50 100 150 SPM 6.8 6.6 6.4 6.2 6 5.8 5.6 5.4 SPM controlled Kd 0 50 100 150 SPM Verdun 14

log10(kd) log10(kd) Key results Copper Lead 5.1 5 4.9 4.8 4.7 4.6 4.5 4.4 4.3 0 1 2 3 4 POC 6.8 6.6 6.4 6.2 6 5.8 5.6 5.4 0 1 2 3 4 POC Verdun 15

Proposition Metal input generation Anthropic sources: point-sources, atmospheric deposition, diffuse sources (fertilizers application) Geogenic source: Based on soil maps, residence time and mixing models (Wade et al. 1999) Modelling requirements Fixed Kd model: efficient for high Kd trace metal Variable Kd model: efficient for low Kd A simple empirical variable Kd model can be built on limited inputs variables (ph, SPM and POC concentrations) 16

Thank you for your attention