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Updated: Jun 9, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Investigation of small-scale preferential flow with a forced-gradient tracer test
Marco Bianchi1, Chunmiao Zheng, Geoffrey R Tick
1Department of Geological Sciences, University of Alabama, Tuscaloosa, AL 35487, USA. mbianchi@bama.ua.edu
Abstract:
A new tracer experiment (referred to as MADE-5) was conducted at the well-known Macrodispersion Experiment (MADE) site to investigate the influence of small-scale mass-transfer and dispersion processes on well-to-well transport. The test was performed under dipole forced-gradient flow conditions and concentrations were monitored in an extraction well and in two multilevel sampler (MLS) wells located at 6, 1.5, and 3.75 m from the source, respectively. The shape of the breakthrough curve (BTC) measured at the extraction well is strongly asymmetric showing a rapidly arriving peak and an extensive late-time tail. The BTCs measured at seven different depths in the two MLSs are radically different from one another in terms of shape, arrival times, and magnitude of the concentration peaks. All of these characteristics indicate the presence of a complex network of preferential flow pathways controlling solute transport at the test site. Field-experimental data were also used to evaluate two transport models: a stochastic advection-dispersion model (ADM) based on conditional multivariate Gaussian realizations of the hydraulic conductivity field and a dual-domain single-rate (DDSR) mass-transfer model based on a deterministic reconstruction of the aquifer heterogeneity. Unlike the stochastic ADM realizations, the DDSR accurately predicted the magnitude of the concentration peak and its arrival time (within a 1.5% error). For the multilevel BTCs between the injection and extraction wells, neither model reproduced the observed values, indicating that a high-resolution characterization of the aquifer heterogeneity at the subdecimeter scale would be needed to fully capture 3D transport details.
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