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Explore various modeling approaches for tracer data interpretation, including 1D advection/dispersion and 3D models targeting groundwater flow calibration and residence times. Examples and case studies included.
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Tracer Modeling Two goals: • more reasonable interpretation of tracer data in terms of travel time • Calibration target for groundwater flow and transport models
Various modeling approaches • ‘lumped parameter’ models • 1- dimensional vertical or horizontal advection/ dispersion models • MODFLOW/MODPATH, no dispersion • 3D advection/dispersion models • calibration target: • concentration fields • residence time, e.g. 3H/3He ages
Qin = Qout Residence time: = V/Qin ‘Lumped parameter’ models e.g. exponential model Weighting function: t-1 exp(-t/t) Maloszewski and Zuber, 1982, 1983
‘Lumped parameter’ models Example: Exponential model Maloszewski and Zuber, 1982, 1983
1-dimensional vertical or horizontal advection/dispersion models v=1 m/y Schlosser et al., 1989; Solomon and Sudicky, 1991, Solomon et al., 1993; Ekwurzel et al., 1994, Stute et al., 1997
Example: Sturgeon falls Determination of: • gw recharge rate • molecular diffusion and mechanical mixing coefficient Solomon et al., WRR, 29 (1993) 2951
Two tracers in comparison Delmarva peninsula 1 dimensional model Ekwurzel et al., 1994
Calibration of groundwater models Targets: • hydraulic head • streamflow gain/losses • groundwater flow velocities • tracer concentration fields • residence times
Sandy aquifer, Kirkwood-Cohansey formation
3H/3He Tracer data Szabo et al., WRR, 32 (1996) 1023
3H/3He and CFC ages Szabo et al., WRR, 32 (1996) 1023
conceptual: numerical: Szabo et al., WRR, 32 (1996) 1023
Excellent agreement between model and tracer data Szabo et al., WRR, 32 (1996) 1023
Reilly et al., WRR, 30 (1994) 421
No dispersionnecessary! Locust Grove, Delmarva Reilly et al., WRR, 30 (1994) 421
3H/3He ages as calibration targetsExample: buried-valley aquifer, Ohio Sheets et al. WWR, 34 (1998) 1077
Complexsystems La Bolle, 2006